ML24164A261
| ML24164A261 | |
| Person / Time | |
|---|---|
| Issue date: | 02/20/2024 |
| From: | James Anderson, Mclaurine A, Turner R NRC/NRR/DRO |
| To: | |
| Shared Package | |
| ML24164A259 | List: |
| References | |
| ES-3100 | |
| Download: ML24164A261 (1) | |
Text
Design Analysis and Calculation Title Page DAC No:
Title:
Thermal Analysis of the ES-3100 Package for NCT and HAC DAC Status:
Preliminary Partially Verified Contains Assumptions Requiring Subsequent Reverification Verified Superseded Voided/Cancelled Preparers Org:
Packaging and Transportation Engineering SSC Grade:
2 Project/Task Name:
Thermal Analysis of the ES-3100 Package with Packcrete for NCT and HAC Abstract (e.g., What, Why, How, Results):
The purpose of this design analysis and calculation document is to determine the thermal response of the ES-3100 package with Packcrete to the regulatory normal conditions of transport (NCT) and hypothetical accident conditions (HAC). ANSYS Mechanical was used to analyze the thermal response of the package using an axisymmetric model. The thermal response values are shown to be satisfactory.
List scope / extent of partial verifications (as applicable).
None.
List assumptions requiring subsequent verification or scope of partial verification (as applicable):
None.
Computer Program Name:
ANSYS Mechanical 18.0 on PC20015563. PTC Creo Parametric 3.0 on PC20015563.
Computer Type:
Intel 64 bit Intel 32 bit AMD 64 bit AMD 32 bit Other:
Verification Method Design Technical Review Alternative Calculation (Doc. No.) ___________________
Comparison with Similar Design Qualification Testing (Doc. No.) ___________________
Other (Specify) __________________________________
Approvals Rev.
No.
Preparer (Print/Sign or Electronically Sign)
Date Verifier/Checker (Print/Sign or Electronically Sign)
Date Approver (Print/Sign or Electronically Sign)
Date 00 A. D. McLaurine R. D. Turner J. C. Anderson Revision Log Rev.
No.
Date Description Total Pages Affected Pages 00 02-24-2020 Initial issue Front matter, 1-6 Body, 7-75 Appendix A, 76 Appendix B, 77-84 Appendix C,85-123 All Austin D (MNG)
McLaurine Digitally signed by Austin D (MNG) McLaurine Date: 2020.02.24 13:04:09 -05'00' RICHARD TURNER (Affiliate)
Digitally signed by RICHARD TURNER (Affiliate)
Date: 2020.02.24 13:53:19 -05'00' James C (J5A)
Anderson Digitally signed by James C (J5A)
Anderson Date: 2020.02.25 15:08:27 -05'00' This document has been reviewed and confirmed to be UNCLASSIFIED and contains no UCNI.
Name: Christopher Smith Date: 02/26/2020 eDC/RO ID: 187900
DAC M801940-0002 000 00 Page 2 of 123 Table of Contents List of Figures................................................................................................................................ 3 List of Tables................................................................................................................................. 5 List of Acronyms........................................................................................................................... 6 Section 1:
Objective/Purpose Statement........................................................................... 7 1.1 ES-3100 Package......................................................................................................................... 7 1.2 Tools and Analysis Description................................................................................................... 8 Section 2:
References.......................................................................................................... 9 Section 3:
Design Inputs................................................................................................... 10 Section 4:
Assumptions..................................................................................................... 10 Section 5:
Background and Results of Literature Searches.......................................... 11 Section 6:
Analytical Methods and Computations......................................................... 11 6.1 FEA Model................................................................................................................................. 11 6.2 Materials.................................................................................................................................... 13 6.3 Steady State Conditions............................................................................................................. 20 6.4 NCT Analyses............................................................................................................................ 21 6.5 HAC Analyses........................................................................................................................... 21 6.6 Modeled Heat Transfer Mechanisms......................................................................................... 22 6.6.1 Heat Transfer between Package Exterior and Surroundings......................................... 22 6.6.2 Heat Transfer across Gaps in the Package.................................................................... 33 6.6.3 Content Heat Load........................................................................................................ 34 Section 7:
Results.............................................................................................................. 34 7.1 Steady State................................................................................................................................ 36 7.2 NCT Quasi Steady State............................................................................................................ 38 7.3 HAC Cooldown......................................................................................................................... 59 Section 8:
Conclusions...................................................................................................... 75 8.1 Steady-state................................................................................................................................ 75 8.2 NCT............................................................................................................................................ 75 8.3 HAC........................................................................................................................................... 75 Appendix A:
Kaolite Specific Heat FAX Communication................................................. 76 Appendix B:
Convection Coefficient Calculation Spreadsheets........................................ 77 Appendix C:
Results in U.S. Customary Units.................................................................... 85
DAC M801940-0002 000 00 Page 3 of 123 List of Figures Fig. 1-1. ES-3100 packaging........................................................................................................................ 8 Fig. 6-1. ANSYS axisymmetric model of the ES-3100 package................................................................ 11 Fig. 6-2. ANSYS axisymmetric FEA model of the ES-3100 upper portion............................................... 12 Fig. 6-3. ANSYS axisymmetric FEA model of the ES-3100 lower portion............................................... 12 Fig. 6-4. HAC analysis case logic path....................................................................................................... 22 Fig. 6-5. Free convection coefficient equation application for NCT and steady-state................................ 26 Fig. 6-6. Forced convection coefficient equation application for HAC fire............................................... 28 Fig. 6-7. Free convection coefficient equation application for HAC cooldown......................................... 29 Fig. 6-8. Free convection coefficients applied to the drum surfaces during NCT and steady-state conditions................................................................................................................... 30 Fig. 6-9. Forced convection coefficients applied to the drum surfaces during HAC fire........................... 31 Fig. 6-10. Free convection coefficients applied to the drum surfaces during HAC cooldown................... 32 Fig. 7-1. ES-3100 nodal temperature locations of interest.......................................................................... 35 Fig. 7-2. Transient temperatures for NCT [(ASH, HTC, HD, 277HD)-case and 0 W].............................. 39 Fig. 7-3. Transient temperatures for NCT [(ASH, HTC, HD, 277HD)-case and 5 W].............................. 40 Fig. 7-4. Transient temperatures for NCT [(ASH, HTC, HD, 277LD)-case and 0 W]............................... 41 Fig. 7-5. Transient temperatures for NCT [(ASH, HTC, HD, 277LD)-case and 5 W]............................... 42 Fig. 7-6. Transient temperatures for NCT [(ASH, LTC, LD, 277HD)-case and 0 W]............................... 43 Fig. 7-7. Transient temperatures for NCT [(ASH, LTC, LD, 277HD)-case and 5 W]............................... 44 Fig. 7-8. Transient temperatures for NCT [(ASH, LTC, LD, 277LD)-case and 0 W]................................ 45 Fig. 7-9. Transient temperatures for NCT [(ASH, LTC, LD, 277LD)-case and 5 W]................................ 46 Fig. 7-10. Transient temperatures for NCT [(HSH, LTC, LD, 277HD)-case and 0 W]............................. 47 Fig. 7-11. Transient temperatures for NCT [(HSH, LTC, LD, 277HD)-case and 5 W]............................. 48 Fig. 7-12. Transient temperatures for NCT [(HSH, LTC, LD, 277LD)-case and 0 W].............................. 49 Fig. 7-13. Transient temperatures for NCT [(HSH, LTC, LD, 277LD)-case and 5 W].............................. 50 Fig. 7-14. Transient temperatures for NCT [(LSH, HTC, HD, 277HD)-case and 0 W]............................. 51 Fig. 7-15. Transient temperatures for NCT [(LSH, HTC, HD, 277HD)-case and 5 W]............................. 52 Fig. 7-16. Transient temperatures for NCT [(LSH, HTC, HD, 277LD)-case and 0 W]............................. 53 Fig. 7-17. Transient temperatures for NCT [(LSH, HTC, HD, 277LD)-case and 5 W]............................. 54 Fig. 7-18. Transient temperatures for NCT [(Kaolite LD, 277LD)-case and 0 W].................................... 55 Fig. 7-19. Transient temperatures for NCT [(Kaolite LD, 277LD)-case and 5 W].................................... 56 Fig. 7-20. Temperature gradient for NCT at time of maximum O-ring temperature
[(LSH, HTC, HD, 277HD)-case and 0 W].................................................................................... 57 Fig. 7-21. Temperature gradient for NCT at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 5 W]..................................................................................... 58 Fig. 7-22. Transient temperatures for HAC Cooldown with no insolation
[(LSH, HTC, HD, 277LD)-case and 5 W]..................................................................................... 70 Fig. 7-23. Transient temperatures for HAC Cooldown with insolation before the fire
[(LSH, HTC, HD, 277LD)-case and 5 W]..................................................................................... 71 Fig. 7-24. Transient temperatures for HAC Cooldown with insolation before and after the fire
[(LSH, HTC, HD, 277LD)-case and 5 W]..................................................................................... 72
DAC M801940-0002 000 00 Page 4 of 123 Fig. 7-25. Temperature gradient for HAC at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 0 W]..................................................................................... 73 Fig. 7-26. Temperature gradient for HAC at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 5 W]..................................................................................... 74
DAC M801940-0002 000 00 Page 5 of 123 List of Tables Table 6-1. Evaluated material property combinations................................................................................ 13 Table 6-2. Thermal properties of the materials used in the thermal analyses............................................. 13 Table 6-3. Properties of air used in free convection calculations............................................................... 24 Table 6-4. Coefficients for free convection correlations............................................................................ 25 Table 6-5. Coefficients for forced convection correlations........................................................................ 27 Table 6-6. Insolation applied to package surfaces...................................................................................... 32 Table 7-1. Steady state temperatures (5 W and 38°C ambient conditions)................................................. 36 Table 7-2. Steady state temperatures (5 W and 55°C ambient conditions)................................................. 37 Table 7-3. NCT maximum quasi steady state temperatures....................................................................... 38 Table 7-4. HAC cooldown maximum temperatures (ASH, HTC, HD, 277HD)........................................ 59 Table 7-5. HAC cooldown maximum temperatures (ASH, HTC, HD, 277LD)......................................... 60 Table 7-6. HAC cooldown maximum temperatures (ASH, LTC, LD, 277HD)......................................... 61 Table 7-7. HAC cooldown maximum temperatures (ASH, LTC, LD, 277LD)......................................... 62 Table 7-8. HAC cooldown maximum temperatures (HSH, LTC, LD, 277HD)......................................... 63 Table 7-9. HAC cooldown maximum temperatures (HSH, LTC, LD, 277LD)......................................... 64 Table 7-10. HAC cooldown maximum temperatures (LSH, HTC, HD, 277HD)....................................... 65 Table 7-11. HAC cooldown maximum temperatures (LSH, HTC, HD, 277LD)....................................... 66 Table 7-12. HAC cooldown maximum temperatures (Kaolite LD, 277LD).............................................. 67 Table 7-13. HAC temperature differences from baseline (LSH, HTC, HD, 277LD)................................. 68 Table 7-14. HAC temperature differences from baseline (HSH, LTC, LD, 277HD)................................. 69
DAC M801940-0002 000 00 Page 6 of 123 List of Acronyms 2-D two-dimensional 277HD 277-4 high density 277LD 277-4 low density AA analysis assumptions ASH average specific heat ATC average thermal conductivity CFR Code of Federal Regulations CV containment vessel DAC design analysis and calculation DI design input EPDM ethylene propylene diene monomer FEA finite-element analysis HAC hypothetical accident conditions HD high density HSH high specific heat HTC high thermal conductivity IAEA International Atomic Energy Agency LD low density LSH low specific heat LTC low thermal conductivity NCT normal conditions of transport
DAC M801940-0002 000 00 Page 7 of 123 Section 1:
Objective/Purpose Statement The purpose of this design analysis and calculation (DAC) is to determine the temperature distribution within the ES-3100 package with Packcrete under steady-state conditions, normal conditions of transport (NCT) as specified in Title 10, Code of Federal Regulations (CFR), Part 71, Sect. 71 (10 CFR 71.71), and hypothetical accident conditions (HAC) as specified in 10 CFR 71.73.
1.1 ES-3100 Package The ES-3100 package is a Type B fissile material package designed in accordance with U.S. Department of Transportation and U.S. Nuclear Regulatory Commission regulations. The ES-3100 confinement boundary consists of a double open-head reinforced stainless-steel 30-gallon drum, dished bottom, reinforced drum lid, inner liner, and top plug assembly with cast refractory insulation (Packcrete) that are shown in the package design drawings (Sect. 2). The inner diameter of the drum is 18.25 in. (46.36 cm) with an overall height of 43.50 in. (110.49 cm) including the drum bottom and lid. The drum and lid are made from 16-gauge [~0.06 in. (0.152 cm) thick] Type 304 or 304L stainless steel. A 12-gauge
[~0.105 in. (0.267 cm) thick] stainless-steel dished cover is welded to the double open head drum to create the bottom of the drum. An inner liner is attached to the drum by an internal flange that is welded to both the drum and liner. The cavity created by the inner liner is a three-tier volume having an uppermost tier that accommodates the top plug with a 14.77 in. (37.52 cm) inside diameter and is 5.22 in.
(13.26 cm) deep. The second tier accommodates the flange region of the containment vessel (CV) and has an 8.60 in. (21.84 cm) inside diameter and is 2.2 in. (5.59 cm) deep. The third tier accommodates the CV body and has a 6.24 in. (15.85 cm) inside diameter and is 30.83 in. (78.31 cm) deep. The void space created between the innermost liner and the second tier liner is filled with a castable refractory (high alumina borated concrete), designated as 277-4 material, used for neutron attenuation. The void area formed between the confinement drum and the inner liner is filled with an inorganic castable refractory material (Packcrete) that acts as a thermal-insulating and an impact-limiting material. This material is a mixture of portland cement, water, and vermiculite and has a nominal cured density of 358.8 kg/m3 (22.4 lb/ft3). The top plug assembly, which is 14.37 in. (36.5 cm) diameter and 5.28 in. (13.41 cm) thick at the center, is comprised of Packcrete encased in 16-gauge, Type 304 or 304L stainless steel.
A single CV is used in the ES-3100 package. The CV body, fabricated from Type 304L stainless steel, is comprised of a 0.25 in. (0.64 cm) thick flat bottom, a cylindrical body with a wall thickness of 0.100 in.
(0.254 cm) and a nominal outside diameter of 5.26 in. (13.36 cm), and a threaded closure flange with an outside diameter of 7.50 in. (19.05 cm). The ES-3100 containment boundary consists of the CV body, CV lid assembly, and the inner ethylene propylene diene monomer (EPDM) O-ring. The overall height of the CV assembly is 32.40 in. (82.296 cm).
Three silicone rubber pads are used to reduce vibration between the drum assembly and the CV. These are located between the drum inner liner and CV bottom, between the drum inner liner and the top plug, and on top of the CV lid. A cross-section view of the ES-3100 packaging is shown in Fig. 1-1.
DAC M801940-0002 000 00 Page 8 of 123 Packcrete/Kaolite Containment vessel 277-4 material Reinforced drum lid Silicone rubber vibration pad Drum inner liner Vent plugs Silicone rubber vibration pads Drum body Drum bottom dished head Content convenience cans Fig. 1-1. ES-3100 packaging.
1.2 Tools and Analysis Description The thermal analysis is conducted using ANSYS Mechanical finite-element analysis (FEA) software.
The FEA model is created from the package design drawings (Sect. 2), which include material specifications. Section 3 provides the design inputs (DI-1 through DI-4), and Sect. 4 identifies the analysis assumptions (Sect. 4, AA-1 through AA-6) cited in this DAC. Section 6 provides details on analytical methods and computations. Sections 7 and 8 provide results and conclusions.
DAC M801940-0002 000 00 Page 9 of 123 Section 2:
References 10 CFR 71, Packaging and Transportation of Radioactive Material, January 2019.
J. C. Anderson and M. R. Feldman, Thermal Modeling of Packages for Normal Conditions of Transport with Insolation, Proceedings of the ASME Heat Transfer Division, HTD-Vol. 317-2, International Mechanical Engineering Congress and Exposition, November 1995.
ASME Boiler and Pressure Vessel Code, Sect. II, Part D, Properties (Customary), American Society of Mechanical Engineers, NY, 2017.
DAC-EA-801625-A001, Thermal Analyses of the DPP-2 Shipping Package, BWXT Y-12, Y-12 National Security Complex, December 2003.
Drawings (ES-3100 package design), Consolidated Nuclear Security, LLC, Y-12 National Security Complex:
Drawing No.
Rev.
Title M2E801580A001 C
Drum Assembly M2E801580A002 C
Body Weldment M2E801580A003 B
Inner Liner Weldment M2E801580A004 B
Double Open Head Reinforced Drum M2E801580A005 E
Misc. Details M2E801580A006 B
Drum Lid Weldment M2E801580A007 B
18.25 Diameter Drum Lid M2E801580A008 C
Top Plug Weldment M2E801580A009 D
Pad Details M2E801580A011 H
Containment Vessel Assembly M2E801580A012 D
Containment Vessel Body Assembly M2E801580A013 D
Containment Vessel O-ring Details M2E801580A014 C
Containment Vessel Lid Assembly M2E801508A015 C
Containment Vessel Sealing Lid M2E801508A016 B
Containment Vessel Closure Nut M2E801508A031 G
Main Assembly Incropera, F. P., and D. P. DeWitt, Fundamentals of Heat and Mass Transfer, 4th ed, John Wiley & Sons, New York, 1996.
JS-YMN3-801580-A003, Rev. C, Manufacturing Process Specification for Casting Kaolite 1600TM into the ES-3100 Shipping Package, BWXT Y-12, Y-12 National Security Complex, June, 2006.
ORNL-TM-2003/49, H. Wang, Thermal Conductivity Measurements of Kaolite, UT-Battelle, Oak Ridge National Laboratory, 2003.
ORNL/TM-2004/290, W. D. Porter and H. Wang, Thermophysical Properties of Heat Resistant Shielding Material, UT-Battelle, Oak Ridge National Laboratory, December 2004.
Parker O-Ring Handbook, ORD 5700, Parker Hannifin Corp., Lexington, Ky., 2007.
DAC M801940-0002 000 00 Page 10 of 123 RP 802282-0002 000 02, Packcrete Material Properties, Consolidated Nuclear Security, LLC, Y-12 National Security Complex, June 28, 2016.
SPC M801794-0003 001 00, Packcrete Preliminary Lot Qualification, Consolidated Nuclear Security, LLC, Y-12 National Security Complex, March 5, 2019.
SSG-26, Specific Safety Guide No., Advisory Material for the IAEA Regulations for the Safe Transport of Radioactive Material (2012 Edition), International Atomic Energy Agency, Vienna, 2014.
SSR-6, Specific Safety Requirements No., Regulations for the Safe Transport of Radioactive Material, International Atomic Energy Agency, Vienna, 2012.
Y/DW-1987, B. F. Smith and G. A. Byington, Mechanical Properties of 277-4, BWXT Y-12, Y-12 National Security Complex, Jan. 19, 2005.
Section 3:
Design Inputs DI-1 NCT analyses are performed in accordance with 10 CFR 71.71(c)(1).
DI-2 HAC analyses are performed in accordance with 10 CFR 71.73(c)(4).
DI-3 The geometry of the ES-3100 packaging is defined by design drawings (Sect. 2).
DI-4 Content related heat loads are incorporated into the analysis by applying a heat flux to the inner surfaces of the CV.
Section 4:
Assumptions AA-1 Assigning an emissivity of 1.0 to silicone rubber and the 277-4 neutron absorber, both which lack emissivity data, results in higher temperatures and is therefore conservative.
AA-2 Setting the emissivity of the external surfaces of the drum to 0.22 during steady-state and cooldown phases is conservative for HAC. The emissivity will certainly be higher during cooldown due to fire scorching.
AA-3 Manufacturing and assembly tolerances are not expected to affect the thermal response of the package. Models are created using nominal dimensions.
AA-4 The location of the package components is not expected to affect the thermal response of the package. The internal package components are centered radially and axially.
AA-5 The convenience cans and radioactive material content located inside the CV are not modeled in the analysis. Directly applying the content heat flux to all surfaces inside the CV is conservative.
AA-6 The temperature gradient during HAC fire will result in an upwards air velocity of 10 m/s, based on guidance in International Atomic Energy Agency (IAEA) SSG-26, para. 728.30.
DAC M801940-0002 000 00 Page 11 of 123 Section 5:
Background and Results of Literature Searches Not applicable.
Section 6:
Analytical Methods and Computations 6.1 FEA Model A geometric model of the ES-3100 package is created using PTC Creo Parametric and imported into ANSYS Mechanical, where a two-dimensional (2-D) axisymmetric FEA model is constructed for application of boundary conditions, interactions, and loads. The ES-3100 convenience cans and radioactive material content are not modeled in this DAC. Instead, a heat flux ranging from 0 to 5 W is applied to the inner surfaces of the CV. A schematic of the FEA model is presented in Fig. 6-1 with details of the upper and lower portions of the model shown in Figs. 6-2 and 6-3, respectively.
Fig. 6-1. ANSYS axisymmetric model of the ES-3100 package.
DAC M801940-0002 000 00 Page 12 of 123 Fig. 6-2. ANSYS axisymmetric FEA model of the ES-3100 upper portion.
Fig. 6-3. ANSYS axisymmetric FEA model of the ES-3100 lower portion.
Air gaps Silicone rubber Packcrete/Kaolite CV lid Packcrete/Kaolite Silicone rubber CV body Air gaps Air gap Air gap 277-4 material
DAC M801940-0002 000 00 Page 13 of 123 6.2 Materials The model consists of air, Packcrete/Kaolite, silicone rubber, stainless steel, and 277-4 neutron absorber.
The varying property combinations evaluated are shown in Table 6-1 and the thermal properties of the materials are presented in Table 6-2.
Table 6-1. Evaluated material property combinations Material property combination designation a Specific heat Thermal conductivity Density 277-4 density Packcrete ASH, HTC, HD, 277HD Average High High High ASH, HTC, HD, 277LD Average High High Low ASH, LTC, LD, 277HD Average Low Low High ASH, LTC, LD, 277LD Average Low Low Low HSH, LTC, LD, 277HD High Low Low High HSH, LTC, LD, 277LD High Low Low Low LSH, HTC, HD, 277HD Low High High High LSH, HTC, HD, 277LD Low High High Low Kaolite Kaolite LD, 277LD Low Low a The acronyms for various material properties are identified as follows:
ASH - average specific heat for Packcrete; LSH - low specific heat for Packcrete; HSH - high specific heat for Packcrete; LTC - low thermal conductivity for Packcrete; HTC - high thermal conductivity for Packcrete; LD - low density for Packcrete; HD - high density for Packcrete; 277LD - 277-4 material low density; 277HD - 277-4 material high density; and Kaolite LD - Kaolite low material density.
Table 6-2. Thermal properties of the materials used in the thermal analyses Temperature
(°C)
Thermal conductivity
[W/(m°C)]
Density (kg/m3)
Specific heat
[J/(kg°C)]
Emissivity Air 26.85 0.0263 a 1.1614 a 1007 a 76.85 0.0300 0.9950 1009 126.85 0.0338 0.8711 1014 176.85 0.0373 0.7740 1021 226.85 0.0407 0.6964 1030 276.85 0.0439 0.6329 1040 326.85 0.0469 0.5804 1051 376.85 0.0497 0.5356 1063 426.85 0.0524 0.4975 1075 476.85 0.0549 0.4643 1087 526.85 0.0573 0.4354 1099 576.85 0.0596 0.4097 1110 626.85 0.0620 0.3868 1121 676.85 0.0643 0.3666 1131
DAC M801940-0002 000 00 Page 14 of 123 Table 6-2. Thermal properties of the materials used in the thermal analyses Temperature
(°C)
Thermal conductivity
[W/(m°C)]
Density (kg/m3)
Specific heat
[J/(kg°C)]
Emissivity 726.85 0.0667 0.3482 1141 826.85 0.0715 0.3166 1159 926.85 0.0763 0.2902 1175 1026.85 0.082 0.2679 1189 Kaolite 1600 20 0.1923 b 310.76 c 837.36 d 100 0.188 200 0.1677 300 0.149 600 0.1704 Packcrete (ASH, HTC, HD) 20 0.1527 e 406.87 e 35 793 e 45 823 55 850 65 897 75 963 85 1033 95 1073 100 0.1587 105 1083 115 1070 125 1040 135 1007 145 973 155 943 165 907 175 873 185 843 195 820 200 0.1664 205 800 215 780 225 760 235 743 245 727 255 720 265 710 275 707 285 697 295 703 300 0.1746 305 703 315 710 325 723
DAC M801940-0002 000 00 Page 15 of 123 Table 6-2. Thermal properties of the materials used in the thermal analyses Temperature
(°C)
Thermal conductivity
[W/(m°C)]
Density (kg/m3)
Specific heat
[J/(kg°C)]
Emissivity 335 720 345 740 355 733 365 730 375 737 385 740 395 733 400 0.1833 405 727 415 713 425 697 435 673 445 650 455 627 465 617 475 637 485 887 495 1237 500 0.1926 505 1530 515 1563 525 1183 535 653 545 487 555 450 565 430 575 417 585 403 595 387 600 0.2025 700 0.2129 800 0.2236 Packcrete (ASH, LTC, LD) 20 0.0869 e 310.76 e 35 793 e 45 823 55 850 65 897 75 963 85 1033 95 1073 100 0.0923 105 1083 115 1070 125 1040
DAC M801940-0002 000 00 Page 16 of 123 Table 6-2. Thermal properties of the materials used in the thermal analyses Temperature
(°C)
Thermal conductivity
[W/(m°C)]
Density (kg/m3)
Specific heat
[J/(kg°C)]
Emissivity 135 1007 145 973 155 943 165 907 175 873 185 843 195 820 200 0.0995 205 800 215 780 225 760 235 743 245 727 255 720 265 710 275 707 285 697 295 703 300 0.1071 305 703 315 710 325 723 335 720 345 740 355 733 365 730 375 737 385 740 395 733 400 0.1153 405 727 415 713 425 697 435 673 445 650 455 627 465 617 475 637 485 887 495 1237 500 0.1239 505 1530 515 1563 525 1183 535 653 545 487
DAC M801940-0002 000 00 Page 17 of 123 Table 6-2. Thermal properties of the materials used in the thermal analyses Temperature
(°C)
Thermal conductivity
[W/(m°C)]
Density (kg/m3)
Specific heat
[J/(kg°C)]
Emissivity 555 450 565 430 575 417 585 403 595 387 600 0.1331 700 0.1427 800 0.1528 Packcrete (HSH, LTC, LD) 20 0.0869 e 310.76 e 35 1760 e 45 1815 55 1885 65 1942 75 2015 85 2050 95 2088 100 0.0923 105 2119 115 2119 125 2098 135 2065 145 2050 155 2088 165 2119 175 2119 185 2098 195 2065 200 0.0995 205 2042 215 2002 225 1960 235 1925 245 1879 255 1879 265 1842 275 1898 285 1971 295 2079 300 0.1071 305 2146 315 2219 325 2252 335 2260 345 2229
DAC M801940-0002 000 00 Page 18 of 123 Table 6-2. Thermal properties of the materials used in the thermal analyses Temperature
(°C)
Thermal conductivity
[W/(m°C)]
Density (kg/m3)
Specific heat
[J/(kg°C)]
Emissivity 355 2198 365 2167 375 2219 385 2252 395 2260 400 0.1153 405 2229 415 2198 425 2167 435 2147 445 2127 455 2104 465 2194 475 2775 485 3390 495 3699 500 0.1239 505 3904 515 4057 525 4158 535 4201 545 4175 555 4057 565 3823 575 3456 585 2040 595 1317 600 0.1331 700 0.1427 800 0.1528 Packcrete (LSH, HTC, HD) 20 0.1527 e 406.87 e 35 397 e 45 412 55 425 65 448 75 482 85 517 95 537 100 0.1587 105 542 115 535 125 520 135 503 145 487
DAC M801940-0002 000 00 Page 19 of 123 Table 6-2. Thermal properties of the materials used in the thermal analyses Temperature
(°C)
Thermal conductivity
[W/(m°C)]
Density (kg/m3)
Specific heat
[J/(kg°C)]
Emissivity 155 472 165 453 175 437 185 422 195 410 200 0.1664 205 400 215 390 225 380 235 372 245 363 255 360 265 355 275 353 285 348 295 352 300 0.1746 305 352 315 355 325 362 335 360 345 370 355 367 365 365 375 368 385 370 395 367 400 0.1833 405 363 415 357 425 348 435 337 445 325 455 313 465 308 475 318 485 443 495 618 500 0.1926 505 765 515 782 525 592 535 327 545 243 555 225 565 215
DAC M801940-0002 000 00 Page 20 of 123 Table 6-2. Thermal properties of the materials used in the thermal analyses Temperature
(°C)
Thermal conductivity
[W/(m°C)]
Density (kg/m3)
Specific heat
[J/(kg°C)]
Emissivity 575 208 585 202 595 193 600 0.2025 700 0.2129 800 0.2236 Silicone rubber 0.3344 f 1300.956 f 1256.045 f 1.0 g Stainless steel, Type 304
-173.15 9.2 a 272 a
-73.15 12.6 402 26.85 14.9 7900 a 477 0.22 a 126.85 16.6 515 326.85 19.8 557 526.85 22.6 582 726.85 25.4 611 926.85 28.0 640 1226.9 31.7 682 277-4 neutron absorber
-35 0.9491 h 1602.666/1763.21 i 523.3521 e 1.0 g 23 1.0073 778.7479 60 0.8307 1000.649 100 0.6127 1013.21 150 0.6334 1218.364 a Incropera 1996.
b ORNL/TM-2003/49.
c JS-YMN3-801580-A003.
d Appendix A.
e RP 802282-0002.
f DAC-EA-801625-A001.
g Sect. 4, AA-1.
h ORNL/TM-2004/290.
i Y/DW-1987.
6.3 Steady State Conditions The steady state temperature distribution in 38°C (100°F) ambient environment must be determined before applying NCT insolation. This is performed by setting up a steady state analysis that ends at 1 s.
Time integration is automatically disabled for this analysis. This resulting temperature distribution becomes the starting temperature for the transient NCT analysis. For cases with 0 W internal heat generation, no steady state analysis is performed and 100°F is manually prescribed as the starting temperature for the NCT analysis. This is because the temperature of the 0 W cases will eventually approach ambient conditions. The drum is modeled in a vertical orientation during the steady-state analysis. Radiation and free convection boundary conditions are applied to the top and sides of the drum
DAC M801940-0002 000 00 Page 21 of 123 during the steady state analysis. In accordance with 10 CFR 71.43(g), in still air at 38°C (100°F) and in the shade, no accessible surface of a package would have a temperature exceeding 50°C (122°F).
Additional steady state analyses are run with ambient conditions at 55°C (131°F) in still air and in the shade in accordance with IAEA SSR-6, para. 620, and SSG-26, para. 621.3 requirements. The results from these additional IAEA analyses are not used in the subsequent NCT or HAC simulations.
6.4 NCT Analyses The NCT evaluation in accordance with 10 CFR 71.71(c)(1) requires applying insolation to a package at steady-state conditions in still air with an ambient temperature of 38°C (100°F). Since the insolation varies with time, transient thermal analyses are performed on the FEA model of the ES-3100 package.
Two separate content heat loads of 0 and 5 W are analyzed. These content heat loads are simulated by applying a uniform heat flux to the internal surfaces of the CV.
The drum is modeled in an upright orientation for the NCT analysis, so the bottom is treated as an adiabatic surface. Radiation and free convection boundary conditions are applied to the top and sides of the drum during the NCT phase.
Insolation is applied to the top and sides of the drum in 12 h periods. The insolation is applied using a square wave, where the time-averaged insolation is applied for 12 h. No insolation is applied for the following 12 h. Then the cycle repeats until at least eight cycles have completed. Performing the cycle eight times achieves quasi steady-state conditions, where the maximum temperature of a given location remains effectively constant between cycles.
6.5 HAC Analyses The HAC evaluation in accordance with 10 CFR 71.73(c)(4) requires engulfing the package in a fire at 800°C (1475°F) for 30 min. Since the application of the fire varies with time, transient thermal analyses are performed on the FEA model of the ES-3100 package. The temperatures of internal parts of the package continue to increase after the fire. Accordingly, critical areas of the package are monitored for their maximum temperatures for 48 h after the fire. Two separate content heat loads of 0 and 5 W are analyzed. These content heat loads are simulated by applying uniform heat fluxes to the internal surfaces of the CV.
HAC analyses are set up using four sequential thermal phases: (1) steady-state, (2) NCT, (3) fire, and (4) cooldown. Additional series are built that consist of: (1) steady-state, (2) fire, and (3) cooldown. This is to recreate a scenario more similar to the physical testing in order to apply temperature adjustments for comparison. The temperature distribution at the end of the steady-state phase is the initial distribution for the NCT phase. The time of the maximum O-ring temperature during the NCT phase is the initial distribution for the fire phase. The temperature distribution at the end of the fire phase is the initial distribution of the cooldown phase. The drum is modeled in a vertical orientation during the steady-state and NCT phases. The drum is modeled in a horizontal orientation during the fire and cooldown phases.
Radiation and forced convection boundary conditions are applied to all external surfaces of the drum during the fire phase. The cooldown phase uses radiation and free convection coefficients on all external surfaces.
The 0 W cases are run with and without insolation during the cooldown phase. When applicable, insolation is applied using a square wave in the same way as with the NCT evaluation, except it is applied
DAC M801940-0002 000 00 Page 22 of 123 to all surfaces of the drum for only two 24 h cycles. The magnitude of the insolation on the top and bottom surfaces is also lower due to the horizontal orientation. Insolation is applied during the cooldown phase and begins after the fire phase.
Figure 6-4 shows the logic path for one HAC analysis case. The same path is followed for the 0 and 5 W cases. However, the 0 W cases do not experience steady state since the package is given a uniform temperature of 38°C.
Fig. 6-4. HAC analysis case logic path.
6.6 Modeled Heat Transfer Mechanisms The heat transfer mechanisms in the thermal model including thermal radiation, free convection, forced convection, and insolation are described in detail in the following sections.
6.6.1 Heat Transfer between Package Exterior and Surroundings The heat transfer between the exterior of the package and the surroundings is modeled as a combination of radiant heat transfer and free convection. For radiant exchange analysis purposes, the package and its surroundings may be approximated as two infinitely long concentric cylinders. The heat flux of this configuration is calculated as follows:
qrad
=
(Tp4 Ts4) 1 p 1 s s
(Ap As)
(Incropera 1996) [Eq. 1]
where
=
Stefan-Boltzmann constant, Tp
=
absolute temperature of package outer surface, Ts
=
absolute temperature of surroundings, p
=
emissivity of package surface, s
=
emissivity of surroundings, Ap
=
surface area of the package, As
=
surface area of the surroundings.
DAC M801940-0002 000 00 Page 23 of 123 The area of the surroundings is assumed to be much larger than the surface area of the package; therefore, Eq. 1 reduces to:
qrad
= p(Tp4 Ts4).
(Eq. 2)
The outer surfaces of the drum are assumed to have an emissivity of 0.22 during steady-state, NCT, and the cooldown period following the HAC fire (Sect. 4, AA-2). In reality, the outer surfaces of the drum will have a much higher emissivity following the HAC fire; therefore, this assumption is conservative. An emissivity of 0.8 is assigned to the drum external surfaces during the HAC 30 min fire in accordance with the guidance of 10 CFR 71.73(c)(4).
External radiation in ANSYS is defined as to ambient, so an emissivity of the flame is not required. The heat transfer calculation is accomplished by assigning the surfaces of the package that are participating and then defining the time-varying temperature of the ambient surroundings. For steady-state and NCT calculations, only the top and sides of the drum are included; the bottom is considered adiabatic. For the HAC 30 min fire and subsequent cooldown, all external surfaces are included because the package is simulated as being on its side in a horizontal orientation and elevated above the ground.
The free convection heat transfer from the package surface to the ambient air is calculated as:
qconvection
= h(Tp Ts)
(Eq. 3) where h
=
free convection heat transfer coefficient, Tp
=
package outer surface temperature, Ts
=
surrounding temperature.
6.6.1.1 Steady State and NCT Convection Coefficients During the NCT transient thermal analyses and the steady-state thermal analyses (used to obtain the starting temperature distribution in the package for NCT and HAC when a content heat load is present),
the package is assumed to be in an upright (vertical) orientation. The top of the drum is modeled as a heated horizontal flat plate facing up using the following correlation (Incropera 1996):
h = (k L) C1RaC2 (Eq. 4) where k
=
thermal conductivity of air, L
=
characteristic length,
=
D / 4, (Incropera 1996)
D
=
diameter of the drum lid,
=
48.92 cm (19.26 in.),
Ra
=
Rayleigh number, C1
=
- constant, (Table 6-4)
C2
=
constant.
(Table 6-4)
DAC M801940-0002 000 00 Page 24 of 123 The Rayleigh number in Eq. 4 is defined as the Grashof number times the Prandtl number (Incropera 1996):
Ra = gTL3 2
Pr,
(Eq. 5) where g
=
acceleration of gravity,
=
coefficient of thermal expansion (1 / Tfilm),
T
=
temperature difference,
=
kinematic viscosity, Pr
=
Prandtl number.
The properties of air used in the free and forced convection calculations are presented in Table 6-3.
Table 6-3. Properties of air used in free convection calculations Thermophysical properties of air at atmospheric pressure a Temperature (K)
Thermal conductivity
[W/(mK)]
Density (kg/m3)
Specific heat
[J/(kgK)]
Kinematic viscosity (m²/s)
Prandtl number (Pr) 300 0.0263 1.1614 1007 1.589x10-5 0.707 350 0.0300 0.9950 1009 2.092x10-5 0.700 400 0.0338 0.8711 1014 2.641x10-5 0.690 450 0.0373 0.7740 1021 3.239x10-5 0.686 500 0.0407 0.6964 1030 3.879x10-5 0.684 550 0.0439 0.6329 1040 4.557x10-5 0.683 600 0.0469 0.5804 1051 5.269x10-5 0.685 650 0.0497 0.5356 1063 6.021x10-5 0.690 700 0.0524 0.4975 1075 6.810x10-5 0.695 750 0.0549 0.4643 1087 7.637x10-5 0.702 800 0.0573 0.4354 1099 8.493x10-5 0.709 850 0.0596 0.4097 1110 9.380x10-5 0.716 900 0.0620 0.3868 1121 1.029x10-4 0.720 950 0.0643 0.3666 1131 1.122x10-4 0.723 1000 0.0667 0.3482 1141 1.219x10-4 0.726 1100 0.0715 0.3166 1159 1.418x10-4 0.728 1200 0.0763 0.2902 1175 1.629x10-4 0.728 1300 0.0820 0.2679 1189 1.851x10-4 0.719 a Fundamentals of Heat and Mass Transfer (Incropera 1996).
DAC M801940-0002 000 00 Page 25 of 123 Equation 6 is a free convection correlation that corresponds with vertical flat plates. Table 6-4 contains the coefficients used for applicable Rayleigh number ranges used in Equation 6. During the steady state thermal analysis and NCT transient thermal analyses, the sides of the drum are considered vertical flat plates. Additionally, the top and bottom of the drum are modeled as vertical flat plates during the HAC cooldown using the following correlation (Incropera 1996):
h = (k L)
[
C3 +
C4RaC5 (1+ [0.492 Pr ]
9/16
)
C6
]
C7 (Eq. 6)
Table 6-4. Coefficients for free convection correlations Coefficient Rayleigh number range a Value a C1 104 < Ra < 107 107 < Ra < 1011 0.54 0.15 C2 104 < Ra < 107 107 < Ra < 1011 1/4 1/3 C3 Ra < 109 Ra > 109 0.68 0.825 C4 Ra < 109 Ra > 109 0.670 0.387 C5 Ra < 109 Ra > 109 1/4 1/6 C6 Ra < 109 Ra > 109 4/9 8/27 C7 Ra < 109 Ra > 109 1
2 a Fundamentals of Heat and Mass Transfer (Incropera 1996).
where L
=
characteristic length,
=
drum height,
=
110.03 cm (43.32 in.),
C3
=
- constant, (Table 6-4)
C4
=
- constant, (Table 6-4)
C5
=
constant, (Table 6-4)
C6
=
constant, (Table 6-4)
C7
=
constant.
(Table 6-4)
The bottom of the drum is conservatively modeled as adiabatic during the NCT transient analyses and the steady-state analyses. Figure 6-5 shows the equations for the top and side drum surfaces for NCT and steady-state.
DAC M801940-0002 000 00 Page 26 of 123 Fig. 6-5. Free convection coefficient equation application for NCT and steady-state.
6.6.1.2 HAC Fire and Cooldown Convection Coefficients During the HAC 30 min fire and the post-fire cooldown, the package is assumed to be in a horizontal orientation (as it is during furnace testing). As such, the top and bottom of the drum are rotated by 90° relative to the NCT orientation and are modeled as vertical flat plates instead of horizontal flat plates.
During the fire, the package experiences forced convection assuming a characteristic velocity of 10 m/s (Sect. 4, AA-6). Equation 7 is used to calculate the forced convection coefficients for the top and bottom by using a characteristic length, L, equivalent to the drum lid diameter. Equation 7 only applies to vertical surfaces during the HAC fire. The coefficients used in Equation 7 are shown in Table 6-5.
h = (k L) [C8ReL C9-C10]Pr1/3 (Eq. 7) where L
=
drum lid diameter,
=
48.92 cm (19.26 in.).
C8
=
- constant, (Table 6-5)
C9
=
- constant, (Table 6-5)
C10
=
constant, (Table 6-5)
ReL
=
Reynolds number (Table 6-5)
DAC M801940-0002 000 00 Page 27 of 123 The Reynolds number in Equation 7 is calculated by Equation 8:
=
(Eq. 8) where V
=
gas velocity,
=
10 m/s (393.71 in./s).
L
=
drum lid diameter,
=
48.92 cm (19.26 in.).
=
kinematic viscosity.
Table 6-5. Coefficients for forced convection correlations Coefficient Reynolds number range a Value a C8 ReL < 500000 ReL > 500000 0.664 0.037 C9 ReL < 500000 ReL > 500000 1/2 4/5 C10 ReL < 500000 ReL > 500000 0
871 a Fundamentals of Heat and Mass Transfer (Incropera 1996).
Because the container is in a horizontal orientation, Eq. 7 does not apply to the curved surface of the drum shell. Instead, the sides of the drum are modeled as a horizontal cylinder using Equation 9 during the fire (for ReDPr > 0.2) (Incropera 1996):
h = ( k D )
[
0.3 + 0.62ReD 1
2Pr 1
3 (1 + ( 0.4 Pr )
2 3) 1 4
[1 + (
ReD 282000) 5 8
]
4 5
]
(Eq. 9) where D
=
drum body diameter,
=
46.66 cm (18.37 in.).
Figure 6-6 shows equations that apply to the top, bottom, and side of the drum surfaces for the fire portion of the HAC analysis.
DAC M801940-0002 000 00 Page 28 of 123 Fig. 6-6. Forced convection coefficient equation application for HAC fire.
The package is still in a horizontal orientation during the HAC cooldown. However, the convection coefficient used becomes free. The sides of the drum are modeled as a horizontal cylinder during the HAC cooldown using the following free convection correlation in Equation 10 (10-5 < Ra < 1012)
(Incropera 1996):
= (
)
[
0.60 +
0.387 1
6 (1 + [0.559
]
9 16) 8 27
]
2 (Eq. 10)
DAC M801940-0002 000 00 Page 29 of 123 The top and bottom of the package use Equation 6 during the HAC cooldown. Figure 6-7 shows equations that apply to the top, bottom, and side of the drum surfaces for the cooldown portion of the HAC analysis.
Fig. 6-7. Free convection coefficient equation application for HAC cooldown.
The calculated free and forced convection film coefficients used in the thermal analyses of the ES-3100 are presented graphically in Figs. 6-8 through 6-10. Appendix B shows the spreadsheets used for calculating the coefficients.
= (
)
[
0.60 +
0.387 1
6 (1 + [0.559
]
9 16) 8 27
]
2
DAC M801940-0002 000 00 Page 30 of 123 Fig. 6-8. Free convection coefficients applied to the drum surfaces during NCT and steady-state conditions.
0 2
4 6
8 10 12 0
100 200 300 400 500 600 700 800 900 1000 1100 Free convection Ccefficient [W/(m²°C)]
Film temperature (°C)
Drum Top, NCT Drum Side, NCT Drum Top, SS 55 °C Drum Side, SS 55 °C
DAC M801940-0002 000 00 Page 31 of 123 Fig. 6-9. Forced convection coefficients applied to the drum surfaces during HAC fire.
15 17 19 21 23 25 27 0
100 200 300 400 500 600 700 800 900 1000 1100 Forced convection coefficient [W/(m²°C)]
Film temperature (°C)
Drum Top and Bottom, HAC fire Drum Side, HAC fire
DAC M801940-0002 000 00 Page 32 of 123 Fig. 6-10. Free convection coefficients applied to the drum surfaces during HAC cooldown.
6.6.1.3 Insolation Applying insolation to the package exterior is required for NCT in accordance with 10 CFR 71.71(c)(1).
The total insolation for a 12 h period is listed by form and location of surface in Table 6-6.
Table 6-6. Insolation applied to package surfaces Form and location of surface Total insolation for a 12 h period a
[(g cal)/cm²]
Flat surfaces transported horizontally Base Other surfaces 0
800 Flat surfaces not transported horizontally 200 Curved surfaces 400 a 10 CFR 71.71(c)(1).
The total insolation values specified in the previous table are for a 12 h period. For analytical purposes, these energy fluxes are divided over a 12 h period to obtain power fluxes. A conversion factor of 4.1868 J per calorie is used. The incident solar heat fluxes (q"solar, i) used in the analyses for NCT and cooldown following the HAC fire are as follows:
0 1
2 3
4 5
6 7
8 0
100 200 300 400 500 600 700 800 900 1000 1100 Free convection coefficient [W/(m²°C)]
Film temperature (°C)
Drum Top and Bottom, HAC cooldown Drum Side, HAC cooldown
DAC M801940-0002 000 00 Page 33 of 123 During NCT, the drum is in an upright (vertical) orientation; therefore, the following heat fluxes are applied to the external surfaces of the drum to represent insolation:
Top qsolar, i
= 775.33 W/m2 (Eq. 11)
Sides qsolar, i
= 387.67 W/m2 (Eq. 12)
Bottom qsolar, i
= 0 W/m2 (Eq. 13)
During the HAC 30 min fire and subsequent cooldown period, the drum is assumed to be in a horizontal orientation; therefore, the following heat fluxes are applied to the external surfaces of the drum to represent insolation:
Top qsolar, i
= 193.83 W/m2 (Eq. 14)
Sides qsolar, i
= 387.67 W/m2 (Eq. 15)
Bottom qsolar, i
= 193.83 W/m2 (Eq. 16)
The insolation is applied as a square-wave function, where it alternates on and off in 12 h periods. An analytical study has been performed on a similar package that investigated three methods of applying the insolation (Anderson 1995). The three methods consisted of (1) performing a steady-state analysis assuming the insolation is applied continuously by distributing the heat flux evenly throughout a 24 h period, (2) performing a transient analysis assuming the insolation is represented by a step function where it is applied and then not applied in 12 h periods, and (3) performing a transient analysis where the incident insolation is represented by a sinusoidal function that varies throughout the day. The results of the study indicate that the method used in applying the insolation has a significant effect on the temperatures of the outermost portions of the package. However, since the total insolation over any 24 h period is the same for all cases, internal package temperatures are relatively unaffected by the way in which the insolation is applied. Since internal CV O-ring temperatures are of primary concern in this DAC, the step function method for applying the insolation is suitable.
6.6.2 Heat Transfer across Gaps in the Package Heat transfer across all gaps in the package is modeled by a combination of radiant exchange and conduction. Free convection heat transfer is not included across the gaps in the model. Scoping studies performed for a similar package indicate that the heat transfer due to free convection in relatively small gaps is approximately a factor of six times less than the heat transfer due to radiant exchange (Anderson 1995). These calculations assumed a temperature difference of 9°F across the gap. Based on these previous calculations, the effect of neglecting the free convection in the gap regions is minimal.
Radiant exchange is simulated by dividing open areas within the cross-sectional 2-D ANSYS model into separate surface-to-surface enclosures that are separate from each other. Each surface, represented by a line edge, is assigned an emissivity value that correlates to its material of construction. Each enclosure type is defined as perfect. The emissivity values used in the analysis for all internal radiating surfaces in the model are presented in Table 6-2. Conduction is simulated by modeling hypothetical parts that fill in the gaps. These parts are assigned air material properties shown in Table 6-2.
DAC M801940-0002 000 00 Page 34 of 123 6.6.3 Content Heat Load In order to simulate the decay heat generated by the ES-3100 content, a uniform heat flux is applied to the edges representing the inner surface of the CV in the ANSYS model. Creo Parametric is used to measure the inner surface area of the CV at 0.341404 m2. Content heat loads of 0 and 5 W are investigated in this DAC. The uniform heat flux (q"source) for a given content heat load is calculated using the following equation:
qsource
= Q/0.341404 m2, (Eq. 17) where Q
=
content heat load (W).
For a content heat load of 5 W, the resulting heat flux is 14.65 W/m2.
Section 7:
Results Figure 7-1 shows the locations of reported temperatures. Node B is located on the outer wall of the drum near the midpoint. Node L is located at the top of the neutron absorber, where it meets the stainless steel liner. Node O is located on the outside of the middle of the drum lid. Node T is located on the inside of the middle of the CV bottom. Node V is located on the inside of the CV wall near the midpoint of the drum. Node W is located on the inner O-ring groove. These nodes were specifically monitored during the NCT transient analysis.
Tables 7-1 and 7-2 summarize the locations and temperatures of the nodes for steady state conditions at 38°C and 55°C. The results for 0 W cases are not included because all temperatures equal the ambient temperature of 38°C. Table 7-3 shows the locations and maximum temperatures of the nodes during NCT analysis. This table reports the maximum temperatures at any given time and these maximum temperatures do not correspond with the temperature gradient input for the HAC fire.
The temperature gradient at the time of the maximum O-ring temperature is used as the input for the HAC fire. Figures 7-2 through 7-19 show the temperature histories of Nodes B, L, O, T, V, and W for the NCT cases. These figures confirm that quasi steady-state conditions are achieved. In particular, the maximum temperature of the CV O-ring at Node W varies less than 0.84°C after achieving the quasi steady-state. Figures 7-20 and 7-21 show the temperature gradient across the package at the time of the maximum O-ring temperature for the 0 and 5 W content heat loads. These occur in the (LSH, HTC, HD, 277HD)-case and the (LSH, HTC, HD, 277LD)-case for the 0 and 5 W content heat loads, respectively.
Nodes L, T, V, and W were monitored for the HAC analysis. Tables 7-4 through 7-12 summarize the locations and maximum temperatures of the nodes for all of the property combinations during HAC.
Tables 7-13 and 7-14 show the temperature differences of the cases with the maximum and minimum O-ring temperature compared to the baseline of 0 W without any insolation. Figures 7-22 through 7-24 show the temperature histories of Nodes L, T, V, and W for the (LSH, HTC, HD, 277LD)-HAC cases with and without insolation. Figures 7-25 and 7-26 show the temperature gradient across the package at the time of maximum O-ring temperature for the 0 and 5 W content heat loads. Both of these maximum temperatures occur in the (LSH, HTC, HD, 277LD)-cases.
DAC M801940-0002 000 00 Page 35 of 123 Fig. 7-1. ES-3100 nodal temperature locations of interest.
DAC M801940-0002 000 00 Page 36 of 123 7.1 Steady State Table 7-1. Steady state temperatures (5 W and 38°C ambient conditions)
Node ID Location
- ASH, HTC, HD, 277HD
- ASH, HTC, HD, 277LD
- ASH, LTC, LD, 277HD
- ASH, LTC, LD, 277LD
- HSH, LTC, LD, 277HD
- HSH, LTC, LD, 277LD
- LSH, HTC, HD, 277HD
- LSH, HTC, HD, 277LD Kaolite LD, 277LD x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 37.99 37.99 38.05 38.04 38.05 38.05 37.99 37.99 37.98 B
23.33 54.61 38.30 38.30 38.26 38.25 38.26 38.26 38.30 38.30 38.31 C
18.76 94.96 38.95 38.95 39.43 39.38 39.40 39.41 38.95 38.95 38.84 D
7.92 11.16 42.19 42.19 44.53 44.47 44.51 44.51 42.19 42.19 41.55 E
7.92 54.62 42.11 42.11 44.21 44.15 44.20 44.20 42.11 42.11 41.54 F
0.00 11.16 42.66 42.66 45.01 44.95 44.99 44.99 42.66 42.66 42.03 G
11.00 94.91 39.88 39.88 40.76 40.67 40.71 40.72 39.88 39.88 39.68 H
11.07 54.61 41.85 41.85 43.96 43.90 43.94 43.95 41.85 41.85 41.27 I
11.00 11.15 41.91 41.91 44.26 44.21 44.24 44.24 41.91 41.91 41.28 J
23.77
-0.27 38.51 38.51 38.53 38.53 38.53 38.53 38.51 38.51 38.49 K
0.00 0.55 39.32 39.32 39.42 39.41 39.42 39.42 39.32 39.32 39.27 L
8.32 88.84 40.83 40.83 42.16 41.99 42.05 42.06 40.83 40.83 40.53 M
0.00 108.64 38.25 38.25 38.26 38.25 38.26 38.26 38.25 38.25 38.26 N
0.00 95.21 40.71 40.71 41.76 41.68 41.74 41.74 40.71 40.71 40.45 O
0.00 109.11 38.02 38.02 38.04 38.04 38.04 38.04 38.02 38.02 38.03 P
18.72 108.47 38.03 38.03 38.11 38.10 38.10 38.10 38.03 38.03 38.01 Q
9.53 93.97 42.27 42.27 43.45 43.34 43.41 43.41 42.27 42.27 42.01 R
9.44 90.25 42.32 42.32 43.52 43.40 43.47 43.47 42.32 42.32 42.07 S
0.00 11.83 43.89 43.89 46.19 46.13 46.18 46.17 43.89 43.89 43.27 T
0.00 12.47 43.89 43.89 46.20 46.13 46.18 46.18 43.89 43.89 43.28 U
6.10 12.61 43.89 43.89 46.19 46.13 46.17 46.17 43.89 43.89 43.27 V
6.43 54.63 45.82 45.82 47.79 47.73 47.78 47.78 45.82 45.82 45.30 W
6.75 91.08 42.37 42.37 43.56 43.45 43.51 43.52 42.37 42.37 42.11 X
0.00 91.21 42.36 42.36 43.55 43.44 43.51 43.51 42.36 42.36 42.11 Y
0.00 94.02 42.34 42.34 43.53 43.41 43.48 43.49 42.34 42.34 42.08
DAC M801940-0002 000 00 Page 37 of 123 Table 7-2. Steady state temperatures (5 W and 55°C ambient conditions)
Node ID Location
- ASH, HTC, HD, 277HD
- ASH, HTC, HD, 277LD
- ASH, LTC, LD, 277HD
- ASH, LTC, LD, 277LD
- HSH, LTC, LD, 277HD
- HSH, LTC, LD, 277LD
- LSH, HTC, HD, 277HD
- LSH, HTC, HD, 277LD Kaolite LD, 277LD x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 55.17 55.17 55.21 55.21 55.22 55.21 55.17 55.17 55.16 B
23.33 54.61 55.45 55.45 55.40 55.40 55.41 55.40 55.45 55.45 55.46 C
18.76 94.96 56.05 56.05 56.39 56.38 56.45 56.37 56.05 56.05 55.95 D
7.92 11.16 59.25 59.25 61.32 61.32 61.45 61.35 59.25 59.25 58.67 E
7.92 54.62 59.20 59.20 61.05 61.04 61.16 61.03 59.20 59.20 58.67 F
0.00 11.16 59.70 59.70 61.75 61.74 61.89 61.78 59.70 59.70 59.11 G
11.00 94.91 56.92 56.92 57.55 57.54 57.65 57.51 56.92 56.92 56.74 H
11.07 54.61 58.92 58.92 60.78 60.78 60.89 60.77 58.92 58.92 58.38 I
11.00 11.15 58.98 58.98 61.06 61.06 61.19 61.09 58.98 58.98 58.40 J
23.77
-0.27 55.65 55.65 55.65 55.65 55.67 55.66 55.65 55.65 55.64 K
0.00 0.55 56.44 56.44 56.49 56.49 56.52 56.49 56.44 56.44 56.39 L
8.32 88.84 57.80 57.80 58.77 58.74 58.90 58.69 57.80 57.80 57.54 M
0.00 108.64 55.41 55.41 55.39 55.39 55.40 55.38 55.41 55.41 55.41 N
0.00 95.21 57.70 57.70 58.46 58.46 58.59 58.40 57.70 57.70 57.45 O
0.00 109.11 55.21 55.21 55.20 55.20 55.21 55.20 55.21 55.21 55.21 P
18.72 108.47 55.21 55.21 55.26 55.26 55.27 55.25 55.21 55.21 55.19 Q
9.53 93.97 59.13 59.13 59.97 59.96 60.13 59.90 59.13 59.13 58.88 R
9.44 90.25 59.19 59.19 60.04 60.03 60.19 59.96 59.19 59.19 58.93 S
0.00 11.83 60.89 60.89 62.88 62.87 63.03 62.91 60.89 60.89 60.32 T
0.00 12.47 60.89 60.89 62.88 62.88 63.04 62.91 60.89 60.89 60.32 U
6.10 12.61 60.88 60.88 62.87 62.86 63.02 62.90 60.88 60.88 60.31 V
6.43 54.63 62.61 62.61 64.30 64.30 64.44 64.29 62.61 62.61 62.12 W
6.75 91.08 59.23 59.23 60.08 60.07 60.23 60.00 59.23 59.23 58.97 X
0.00 91.21 59.23 59.23 60.07 60.06 60.22 59.99 59.23 59.23 58.97 Y
0.00 94.02 59.21 59.21 60.04 60.04 60.20 59.97 59.21 59.21 58.95
DAC M801940-0002 000 00 Page 38 of 123 7.2 NCT Quasi Steady State Table 7-3. NCT maximum quasi steady state temperatures Node ID Location
- ASH, HTC, HD, 277HD
- ASH, HTC, HD, 277LD
- ASH, LTC, LD, 277HD
- ASH, LTC, LD, 277LD
- HSH, LTC, LD, 277HD
- HSH, LTC, LD, 277LD
- LSH, HTC, HD, 277HD
- LSH, HTC, HD, 277LD Kaolite LD, 277LD 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 109.23 109.42 109.21 109.42 109.59 109.83 109.57 109.85 109.04 109.33 109.06 109.31 109.56 109.73 109.54 109.75 109.41 109.58 B
23.33 54.61 90.88 91.28 90.89 91.30 91.53 91.88 91.54 91.91 91.01 91.39 91.02 91.38 91.36 91.71 91.37 91.76 91.19 91.57 C
18.76 94.96 98.70 99.94 98.55 99.98 99.16 100.89 98.97 101.01 96.41 98.41 96.46 98.27 100.44 101.55 100.35 101.66 100.12 101.22 D
7.92 11.16 72.30 76.86 72.53 77.09 69.90 76.61 70.05 77.00 68.05 75.13 68.27 75.20 74.55 78.61 74.63 78.79 75.38 79.02 E
7.92 54.62 75.76 80.55 76.03 80.84 72.88 79.64 73.18 80.18 71.15 78.40 71.42 78.50 78.07 82.38 78.27 82.77 79.30 83.24 F
0.00 11.16 71.87 76.91 72.09 77.17 69.62 76.80 69.77 77.20 67.75 75.39 67.97 75.46 74.08 78.63 74.16 78.80 74.84 78.94 G
11.00 94.91 90.98 93.28 90.85 93.34 90.13 93.31 89.94 93.58 86.59 90.26 86.79 90.07 93.52 95.52 93.40 95.74 93.67 95.56 H
11.07 54.61 75.95 80.35 76.25 80.61 72.95 79.34 73.25 79.90 71.19 78.05 71.48 78.14 78.29 82.25 78.50 82.58 79.52 83.14 I
11.00 11.15 72.51 76.78 72.75 77.00 70.03 76.44 70.18 76.84 68.15 74.90 68.36 74.97 74.75 78.58 74.85 78.70 75.60 78.99 J
23.77
-0.27 75.82 76.18 75.82 76.18 75.35 75.68 75.34 75.70 74.63 74.99 74.64 74.99 76.29 76.59 76.28 76.62 76.52 76.84 K
0.00 0.55 64.40 65.36 64.41 65.37 62.69 63.61 62.69 63.65 61.27 62.26 61.30 62.24 65.44 66.26 65.42 66.33 66.23 67.08 L
8.32 88.84 82.97 86.35 83.06 86.50 80.89 85.73 80.95 86.15 77.75 83.10 78.06 83.00 85.57 88.72 85.60 88.79 86.18 89.09 M
0.00 108.64 114.74 115.14 114.67 115.13 116.41 116.86 116.37 116.88 114.79 115.28 114.79 115.23 115.64 116.01 115.59 116.04 115.03 115.42 N
0.00 95.21 88.49 91.56 88.42 91.62 86.47 90.84 86.27 91.21 82.78 87.72 83.04 87.48 91.00 94.09 90.92 94.09 91.29 94.29 O
0.00 109.11 118.70 118.92 118.67 118.91 119.53 119.77 119.50 119.78 118.70 118.96 118.70 118.93 119.17 119.37 119.15 119.38 118.86 119.08 P
18.72 108.47 111.74 111.97 111.71 111.98 112.25 112.56 112.22 112.58 111.56 111.92 111.58 111.90 112.15 112.37 112.13 112.39 111.94 112.16 Q
9.53 93.97 82.49 87.28 82.48 87.36 80.84 86.93 80.70 87.24 77.82 84.62 78.08 84.42 85.04 89.39 84.92 89.54 85.45 89.49 R
9.44 90.25 82.39 87.23 82.41 87.31 80.74 86.90 80.61 87.22 77.73 84.60 77.98 84.40 84.93 89.33 84.84 89.51 85.36 89.46 S
0.00 11.83 72.15 78.46 72.38 78.75 69.79 78.25 69.93 78.63 67.95 76.94 68.19 77.01 74.41 80.14 74.51 80.34 75.24 80.51 T
0.00 12.47 72.15 78.46 72.38 78.76 69.79 78.26 69.93 78.64 67.95 76.95 68.19 77.01 74.41 80.14 74.51 80.35 75.24 80.52 U
6.10 12.61 72.19 78.50 72.42 78.78 69.80 78.27 69.94 78.65 67.97 76.96 68.21 77.03 74.45 80.17 74.56 80.38 75.29 80.56 V
6.43 54.63 75.20 83.73 75.41 84.00 72.65 83.01 72.87 83.46 70.97 81.80 71.20 81.88 77.53 85.39 77.68 85.69 78.54 86.04 W
6.75 91.08 82.36 87.24 82.39 87.34 80.72 86.92 80.59 87.24 77.71 84.62 77.96 84.43 84.90 89.34 84.82 89.53 85.34 89.49 X
0.00 91.21 82.44 87.30 82.47 87.42 80.80 86.99 80.66 87.31 77.78 84.68 78.05 84.50 84.99 89.40 84.90 89.60 85.42 89.56 Y
0.00 94.02 82.46 87.30 82.49 87.41 80.83 86.99 80.69 87.31 77.81 84.68 78.07 84.49 85.01 89.40 84.92 89.60 85.44 89.56
DAC M801940-0002 000 00 Page 39 of 123 Fig. 7-2. Transient temperatures for NCT [(ASH, HTC, HD, 277HD)-case and 0 W].
35 45 55 65 75 85 95 105 115 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 40 of 123 Fig. 7-3. Transient temperatures for NCT [(ASH, HTC, HD, 277HD)-case and 5 W].
38 48 58 68 78 88 98 108 118 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 41 of 123 Fig. 7-4. Transient temperatures for NCT [(ASH, HTC, HD, 277LD)-case and 0 W].
37 47 57 67 77 87 97 107 117 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 42 of 123 Fig. 7-5. Transient temperatures for NCT [(ASH, HTC, HD, 277LD)-case and 5 W].
39 49 59 69 79 89 99 109 119 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (hrs) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
DAC M801940-0002 000 00 Page 43 of 123 Fig. 7-6. Transient temperatures for NCT [(ASH, LTC, LD, 277HD)-case and 0 W].
37 47 57 67 77 87 97 107 117 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 44 of 123 Fig. 7-7. Transient temperatures for NCT [(ASH, LTC, LD, 277HD)-case and 5 W].
38 48 58 68 78 88 98 108 118 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 45 of 123 Fig. 7-8. Transient temperatures for NCT [(ASH, LTC, LD, 277LD)-case and 0 W].
37 47 57 67 77 87 97 107 117 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 46 of 123 Fig. 7-9. Transient temperatures for NCT [(ASH, LTC, LD, 277LD)-case and 5 W].
39 49 59 69 79 89 99 109 119 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 47 of 123 Fig. 7-10. Transient temperatures for NCT [(HSH, LTC, LD, 277HD)-case and 0 W].
37 47 57 67 77 87 97 107 117 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 48 of 123 Fig. 7-11. Transient temperatures for NCT [(HSH, LTC, LD, 277HD)-case and 5 W].
39 49 59 69 79 89 99 109 119 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 49 of 123 Fig. 7-12. Transient temperatures for NCT [(HSH, LTC, LD, 277LD)-case and 0 W].
37 47 57 67 77 87 97 107 117 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 50 of 123 Fig. 7-13. Transient temperatures for NCT [(HSH, LTC, LD, 277LD)-case and 5 W].
39 49 59 69 79 89 99 109 119 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 51 of 123 Fig. 7-14. Transient temperatures for NCT [(LSH, HTC, HD, 277HD)-case and 0 W].
37 47 57 67 77 87 97 107 117 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 52 of 123 Fig. 7-15. Transient temperatures for NCT [(LSH, HTC, HD, 277HD)-case and 5 W].
38 48 58 68 78 88 98 108 118 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 53 of 123 Fig. 7-16. Transient temperatures for NCT [(LSH, HTC, HD, 277LD)-case and 0 W].
37 47 57 67 77 87 97 107 117 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 54 of 123 Fig. 7-17. Transient temperatures for NCT [(LSH, HTC, HD, 277LD)-case and 5 W].
38 48 58 68 78 88 98 108 118 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 55 of 123 Fig. 7-18. Transient temperatures for NCT [(Kaolite LD, 277LD)-case and 0 W].
35 45 55 65 75 85 95 105 115 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Drum Lid)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 56 of 123 Fig. 7-19. Transient temperatures for NCT [(Kaolite LD, 277LD)-case and 5 W].
35 45 55 65 75 85 95 105 115 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Drum Lid)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 57 of 123 Fig. 7-20. Temperature gradient for NCT at time of maximum O-ring temperature
[(LSH, HTC, HD, 277HD)-case and 0 W].
DAC M801940-0002 000 00 Page 58 of 123 Fig. 7-21. Temperature gradient for NCT at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 5 W].
DAC M801940-0002 000 00 Page 59 of 123 7.3 HAC Cooldown Table 7-4. HAC cooldown maximum temperatures (ASH, HTC, HD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 789.56 790.14 790.15 789.64 790.15 790.16 B
23.33 54.61 790.96 791.41 791.42 791.00 791.44 791.45 C
18.76 94.96 292.52 321.39 322.29 294.11 322.64 324.25 D
7.92 11.16 100.12 125.08 129.58 104.03 129.25 133.76 E
7.92 54.62 87.71 114.48 121.28 91.64 119.02 125.82 F
0 11.16 98.81 123.65 128.13 103.13 128.14 132.70 G
11 94.91 171.22 204.47 209.61 173.45 206.81 212.24 H
11.07 54.61 87.72 114.95 120.84 91.33 118.96 124.94 I
11 11.15 102.28 127.47 131.66 105.93 131.35 135.57 J
23.77
-0.27 799.70 799.76 799.77 799.71 799.76 799.77 K
0 0.55 789.42 789.90 789.91 789.47 789.95 789.95 L
8.32 88.84 106.18 137.33 142.24 109.15 140.65 145.61 M
0 108.64 713.01 721.15 721.15 713.91 721.30 721.30 N
0 95.21 128.31 162.17 167.60 131.13 165.33 170.88 O
0 109.11 784.06 785.87 785.88 784.26 785.90 785.90 P
18.72 108.47 758.61 761.06 761.06 758.92 761.10 761.11 Q
9.53 93.97 101.21 132.95 138.80 105.60 136.98 143.20 R
9.44 90.25 101.05 132.67 138.63 105.48 136.81 143.07 S
0 11.83 95.69 120.38 125.82 100.94 125.92 131.48 T
0 12.47 95.68 120.37 125.81 100.94 125.92 131.48 U
6.1 12.61 95.58 120.30 125.74 100.81 125.82 131.38 V
6.43 54.63 89.35 115.99 123.38 96.25 123.32 130.51 W
6.75 91.08 101.01 132.57 138.57 105.47 136.78 143.06 X
0 91.21 101.11 132.68 138.75 105.58 136.95 143.24 Y
0 94.02 101.16 132.76 138.80 105.61 137.00 143.27 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 60 of 123 Table 7-5. HAC cooldown maximum temperatures (ASH, HTC, HD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 789.56 790.07 790.08 789.64 790.09 790.10 B
23.33 54.61 790.96 791.35 791.36 791.00 791.40 791.41 C
18.76 94.96 292.52 318.69 320.11 294.12 320.34 321.70 D
7.92 11.16 101.80 125.64 130.32 105.63 130.14 134.73 E
7.92 54.62 89.65 115.34 122.20 93.69 120.09 126.92 F
0 11.16 100.45 124.18 128.85 104.69 129.02 133.61 G
11 94.91 171.47 202.43 207.87 173.61 205.15 210.71 H
11.07 54.61 89.70 115.73 121.80 93.35 120.08 126.09 I
11 11.15 103.96 128.04 132.35 107.57 132.24 136.52 J
23.77
-0.27 799.70 799.75 799.76 799.71 799.76 799.76 K
0 0.55 789.42 789.88 789.88 789.47 789.93 789.94 L
8.32 88.84 107.57 137.36 142.37 110.50 140.98 146.02 M
0 108.64 713.01 720.37 720.37 713.91 720.67 720.67 N
0 95.21 128.57 160.63 166.20 131.41 164.12 169.77 O
0 109.11 784.06 785.74 785.74 784.26 785.79 785.80 P
18.72 108.47 758.61 760.81 760.81 758.92 760.90 760.90 Q
9.53 93.97 102.07 132.26 138.48 106.37 137.01 143.21 R
9.44 90.25 101.93 132.04 138.33 106.27 136.82 143.10 S
0 11.83 97.38 120.96 126.67 102.71 126.86 132.46 T
0 12.47 97.38 120.95 126.67 102.71 126.86 132.46 U
6.1 12.61 97.28 120.89 126.60 102.60 126.77 132.37 V
6.43 54.63 91.07 116.73 124.19 98.12 124.14 131.49 W
6.75 91.08 101.88 131.95 138.28 106.25 136.78 143.08 X
0 91.21 101.97 132.06 138.43 106.34 136.90 143.25 Y
0 94.02 102.01 132.14 138.48 106.37 136.95 143.28 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 61 of 123 Table 7-6. HAC cooldown maximum temperatures (ASH, LTC, LD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 790.72 791.25 791.26 790.86 791.28 791.29 B
23.33 54.61 793.90 794.16 794.17 793.93 794.19 794.20 C
18.76 94.96 307.63 335.10 335.79 310.90 337.31 338.01 D
7.92 11.16 80.28 105.35 109.14 86.38 111.85 115.57 E
7.92 54.62 74.43 100.93 108.40 80.59 107.86 115.09 F
0 11.16 79.53 104.59 108.46 86.04 111.49 115.28 G
11 94.91 171.76 204.85 208.44 175.36 208.39 212.03 H
11.07 54.61 74.08 100.59 108.01 79.89 107.09 114.31 I
11 11.15 81.22 106.50 110.00 87.10 112.76 116.23 J
23.77
-0.27 800.03 800.07 800.08 800.04 800.08 800.08 K
0 0.55 792.92 793.23 793.23 792.99 793.27 793.27 L
8.32 88.84 95.00 126.51 130.34 99.47 131.49 135.25 M
0 108.64 742.70 747.78 747.78 743.98 748.09 748.09 N
0 95.21 119.74 153.65 157.69 123.86 158.17 162.26 O
0 109.11 789.56 790.78 790.78 789.96 790.86 790.87 P
18.72 108.47 762.67 764.97 764.97 763.32 765.10 765.10 Q
9.53 93.97 92.95 124.80 129.55 98.60 130.65 135.48 R
9.44 90.25 92.70 124.51 129.27 98.41 130.35 135.25 S
0 11.83 78.10 102.94 107.78 85.80 111.20 115.77 T
0 12.47 78.10 102.94 107.78 85.81 111.20 115.77 U
6.1 12.61 78.04 102.88 107.74 85.73 111.14 115.73 V
6.43 54.63 76.47 103.05 109.92 85.70 112.69 119.22 W
6.75 91.08 92.62 124.43 129.19 98.38 130.28 135.21 X
0 91.21 92.82 124.68 129.45 98.55 130.48 135.46 Y
0 94.02 92.87 124.76 129.52 98.59 130.55 135.51 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 62 of 123 Table 7-7. HAC cooldown maximum temperatures (ASH, LTC, LD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 790.72 791.26 791.27 790.86 791.27 791.28 B
23.33 54.61 793.90 794.17 794.18 793.93 794.19 794.20 C
18.76 94.96 307.63 335.30 336.00 310.82 336.89 337.58 D
7.92 11.16 81.64 106.70 110.66 87.71 113.07 117.06 E
7.92 54.62 75.88 102.74 110.01 82.14 109.17 116.61 F
0 11.16 80.87 105.93 109.98 87.36 112.65 116.68 G
11 94.91 171.90 205.29 208.76 175.44 208.54 211.99 H
11.07 54.61 75.58 102.43 109.60 81.45 108.48 115.82 I
11 11.15 82.57 107.89 111.51 88.42 114.04 117.70 J
23.77
-0.27 800.03 800.07 800.08 800.04 800.08 800.08 K
0 0.55 792.92 793.23 793.24 792.99 793.27 793.27 L
8.32 88.84 96.23 127.75 131.63 100.65 132.71 136.48 M
0 108.64 742.70 747.92 747.92 743.98 748.00 748.00 N
0 95.21 119.89 153.74 157.96 123.97 158.18 162.37 O
0 109.11 789.56 790.83 790.83 789.96 790.84 790.85 P
18.72 108.47 762.67 765.00 765.01 763.32 765.05 765.05 Q
9.53 93.97 93.67 125.47 130.37 99.27 131.27 136.20 R
9.44 90.25 93.49 125.14 130.11 99.09 131.03 136.00 S
0 11.83 79.46 104.49 109.34 87.18 112.30 117.18 T
0 12.47 79.46 104.48 109.34 87.19 112.30 117.19 U
6.1 12.61 79.40 104.43 109.31 87.12 112.24 117.15 V
6.43 54.63 77.75 104.77 111.54 87.11 113.77 120.73 W
6.75 91.08 93.44 125.03 130.03 99.07 130.99 135.96 X
0 91.21 93.62 125.22 130.26 99.24 131.20 136.20 Y
0 94.02 93.67 125.31 130.33 99.26 131.26 136.24 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 63 of 123 Table 7-8. HAC cooldown maximum temperatures (HSH, LTC, LD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 786.39 786.80 786.81 786.37 786.82 786.83 B
23.33 54.61 788.12 788.50 788.51 788.18 788.52 788.53 C
18.76 94.96 245.61 269.71 270.98 246.13 271.55 272.77 D
7.92 11.16 71.90 95.93 102.13 78.18 101.93 108.71 E
7.92 54.62 69.54 95.06 103.78 75.94 101.22 110.79 F
0 11.16 71.50 95.50 101.74 78.25 101.88 108.79 G
11 94.91 130.60 161.42 163.91 132.92 164.94 167.33 H
11.07 54.61 69.33 94.81 103.60 75.40 100.81 110.23 I
11 11.15 72.35 96.45 102.44 78.34 102.18 108.69 J
23.77
-0.27 797.94 798.01 798.02 797.95 798.02 798.02 K
0 0.55 787.04 787.45 787.46 787.11 787.49 787.50 L
8.32 88.84 82.26 111.39 116.13 86.57 116.34 121.30 M
0 108.64 698.42 701.59 701.59 697.02 701.74 701.74 N
0 95.21 94.76 125.64 129.31 98.42 130.34 133.90 O
0 109.11 782.00 782.09 782.09 781.31 782.11 782.12 P
18.72 108.47 749.83 750.97 750.98 749.46 751.04 751.05 Q
9.53 93.97 82.31 111.73 116.62 87.83 117.52 122.81 R
9.44 90.25 82.16 111.49 116.43 87.73 117.35 122.68 S
0 11.83 70.84 94.96 101.79 78.83 102.24 110.08 T
0 12.47 70.84 94.96 101.79 78.83 102.25 110.08 U
6.1 12.61 70.80 94.92 101.80 78.79 102.21 110.07 V
6.43 54.63 70.72 96.38 104.43 80.25 105.15 114.09 W
6.75 91.08 82.12 111.43 116.38 87.73 117.33 122.67 X
0 91.21 82.28 111.63 116.57 87.88 117.52 122.86 Y
0 94.02 82.32 111.69 116.63 87.90 117.56 122.89 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 64 of 123 Table 7-9. HAC cooldown maximum temperatures (HSH, LTC, LD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 786.39 786.77 786.78 786.37 786.80 786.81 B
23.33 54.61 788.12 788.48 788.49 788.18 788.51 788.52 C
18.76 94.96 245.61 268.74 269.99 246.12 270.87 272.11 D
7.92 11.16 72.86 96.56 102.88 78.87 102.46 109.37 E
7.92 54.62 70.65 95.86 104.62 76.88 102.06 111.53 F
0 11.16 72.49 96.13 102.49 78.91 102.38 109.45 G
11 94.91 130.69 161.13 163.38 133.01 164.47 166.91 H
11.07 54.61 70.46 95.63 104.44 76.35 101.58 110.97 I
11 11.15 73.31 97.07 103.19 79.07 102.71 109.34 J
23.77
-0.27 797.94 798.01 798.01 797.95 798.01 798.02 K
0 0.55 787.04 787.44 787.45 787.11 787.49 787.49 L
8.32 88.84 83.00 111.81 116.62 87.31 116.70 121.72 M
0 108.64 698.41 701.32 701.32 697.02 701.58 701.58 N
0 95.21 94.93 125.45 129.04 98.64 130.04 133.68 O
0 109.11 782.00 782.04 782.04 781.31 782.08 782.09 P
18.72 108.47 749.83 750.87 750.88 749.46 750.99 750.99 Q
9.53 93.97 82.82 111.94 116.89 88.33 117.63 123.03 R
9.44 90.25 82.68 111.72 116.71 88.24 117.47 122.91 S
0 11.83 71.87 95.59 102.57 79.48 102.99 110.76 T
0 12.47 71.87 95.59 102.58 79.48 102.99 110.77 U
6.1 12.61 71.83 95.56 102.58 79.44 102.97 110.76 V
6.43 54.63 71.81 97.08 105.27 81.10 105.81 114.82 W
6.75 91.08 82.64 111.65 116.67 88.24 117.44 122.90 X
0 91.21 82.79 111.83 116.84 88.38 117.62 123.08 Y
0 94.02 82.83 111.89 116.89 88.40 117.65 123.10 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 65 of 123 Table 7-10. HAC cooldown maximum temperatures (LSH, HTC, HD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 791.80 792.16 792.17 791.82 792.23 792.24 B
23.33 54.61 794.41 794.69 794.70 794.43 794.75 794.76 C
18.76 94.96 352.26 375.21 375.64 353.24 379.17 379.50 D
7.92 11.16 112.86 139.48 141.97 116.68 144.19 146.61 E
7.92 54.62 91.96 120.86 125.30 96.02 125.85 130.22 F
0 11.16 110.15 136.81 139.17 114.34 141.85 144.21 G
11 94.91 219.04 248.33 251.29 220.19 252.49 255.21 H
11.07 54.61 92.79 122.50 125.38 96.41 127.09 129.88 I
11 11.15 118.01 145.13 147.20 121.51 149.62 151.64 J
23.77
-0.27 800.42 800.45 800.45 800.42 800.45 800.46 K
0 0.55 792.84 793.19 793.19 792.87 793.25 793.25 L
8.32 88.84 120.00 151.52 155.22 122.84 155.71 159.34 M
0 108.64 744.87 748.02 748.02 745.25 748.72 748.72 N
0 95.21 160.33 192.16 195.96 162.66 196.55 200.17 O
0 109.11 790.27 790.69 790.70 790.40 790.82 790.82 P
18.72 108.47 767.06 768.26 768.27 767.19 768.54 768.55 Q
9.53 93.97 109.75 142.73 147.68 113.78 148.02 152.85 R
9.44 90.25 109.54 142.36 147.45 113.64 147.69 152.65 S
0 11.83 103.79 129.91 133.84 109.20 135.99 139.90 T
0 12.47 103.78 129.90 133.84 109.20 135.99 139.90 U
6.1 12.61 103.63 129.75 133.70 109.03 135.82 139.74 V
6.43 54.63 93.53 121.93 128.06 100.60 129.67 135.54 W
6.75 91.08 109.47 142.22 147.37 113.62 147.59 152.61 X
0 91.21 109.58 142.31 147.55 113.76 147.66 152.80 Y
0 94.02 109.64 142.38 147.62 113.79 147.74 152.84 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 66 of 123 Table 7-11. HAC cooldown maximum temperatures (LSH, HTC, HD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 791.80 792.16 792.17 791.79 792.19 792.21 B
23.33 54.61 794.41 794.70 794.71 794.43 794.73 794.75 C
18.76 94.96 352.28 375.36 375.75 352.81 377.50 377.88 D
7.92 11.16 115.14 141.66 144.23 118.93 145.82 148.33 E
7.92 54.62 94.59 123.30 127.71 98.59 127.78 132.18 F
0 11.16 112.19 138.76 141.24 116.39 143.29 145.74 G
11 94.91 218.78 248.80 251.77 220.33 251.62 254.69 H
11.07 54.61 95.49 124.98 127.93 99.11 129.09 131.95 I
11 11.15 120.25 147.32 149.46 123.78 151.23 153.33 J
23.77
-0.27 800.42 800.45 800.45 800.42 800.45 800.45 K
0 0.55 792.84 793.19 793.20 792.87 793.24 793.24 L
8.32 88.84 122.12 153.48 157.19 124.85 156.98 160.71 M
0 108.64 744.87 748.07 748.07 744.84 748.39 748.39 N
0 95.21 160.29 192.43 196.21 162.72 195.85 199.65 O
0 109.11 790.27 790.70 790.71 790.29 790.76 790.76 P
18.72 108.47 767.06 768.28 768.29 767.05 768.40 768.41 Q
9.53 93.97 110.93 143.89 148.81 114.88 148.26 153.40 R
9.44 90.25 110.74 143.52 148.61 114.75 147.96 153.22 S
0 11.83 106.06 131.94 136.10 111.40 137.60 141.65 T
0 12.47 106.05 131.93 136.09 111.40 137.60 141.65 U
6.1 12.61 105.91 131.84 135.97 111.25 137.44 141.51 V
6.43 54.63 95.84 123.96 130.29 102.79 131.31 137.30 W
6.75 91.08 110.68 143.38 148.53 114.74 147.87 153.18 X
0 91.21 110.77 143.53 148.69 114.85 148.01 153.36 Y
0 94.02 110.83 143.59 148.75 114.88 148.05 153.40 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 67 of 123 Table 7-12. HAC cooldown maximum temperatures (Kaolite LD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 790.31 790.93 790.94 790.38 790.96 790.97 B
23.33 54.61 792.56 792.90 792.91 792.59 792.92 792.93 C
18.76 94.96 313.66 341.64 342.95 315.03 342.80 344.11 D
7.92 11.16 107.05 132.97 137.18 110.31 136.38 140.58 E
7.92 54.62 89.44 118.58 124.83 92.99 122.36 128.62 F
0 11.16 104.52 130.54 134.93 108.31 134.36 138.73 G
11 94.91 191.33 222.05 226.36 193.25 223.98 228.28 H
11.07 54.61 90.15 120.07 124.90 93.35 123.45 128.24 I
11 11.15 110.62 136.35 140.42 113.69 139.49 143.54 J
23.77
-0.27 799.83 799.87 799.87 799.83 799.87 799.88 K
0 0.55 791.29 791.71 791.72 791.34 791.75 791.75 L
8.32 88.84 114.33 146.02 151.10 116.96 148.84 153.89 M
0 108.64 730.87 737.03 737.03 731.29 737.07 737.07 N
0 95.21 143.06 175.23 179.64 145.31 177.87 182.27 O
0 109.11 787.50 788.65 788.66 787.58 788.60 788.61 P
18.72 108.47 761.49 763.80 763.80 761.70 763.82 763.82 Q
9.53 93.97 105.24 138.50 145.29 109.18 142.69 149.25 R
9.44 90.25 105.08 138.26 145.07 108.99 142.48 149.07 S
0 11.83 99.52 125.64 131.44 104.44 130.55 136.32 T
0 12.47 99.51 125.63 131.43 104.43 130.55 136.32 U
6.1 12.61 99.40 125.56 131.33 104.30 130.46 136.21 V
6.43 54.63 90.48 119.30 127.15 97.16 125.77 133.55 W
6.75 91.08 105.04 138.21 145.02 108.95 142.46 149.05 X
0 91.21 105.20 138.41 145.21 109.04 142.67 149.26 Y
0 94.02 105.25 138.49 145.28 109.09 142.73 149.30 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 68 of 123 Table 7-13. HAC temperature differences from baseline (LSH, HTC, HD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 0.36 0.38
-0.01 0.40 0.41 B
23.33 54.61 0.29 0.30 0.02 0.33 0.34 C
18.76 94.96 23.08 23.47 0.53 25.22 25.60 D
7.92 11.16 26.52 29.09 3.79 30.68 33.19 E
7.92 54.62 28.70 33.11 3.99 33.18 37.59 F
0 11.16 26.57 29.06 4.20 31.11 33.55 G
11 94.91 30.02 32.99 1.55 32.84 35.92 H
11.07 54.61 29.48 32.44 3.62 33.60 36.46 I
11 11.15 27.07 29.21 3.53 30.99 33.09 J
23.77
-0.27 0.03 0.03 0.00 0.03 0.04 K
0 0.55 0.35 0.36 0.03 0.39 0.40 L
8.32 88.84 31.36 35.08 2.74 34.86 38.59 M
0 108.64 3.20 3.20
-0.03 3.52 3.52 N
0 95.21 32.14 35.92 2.44 35.56 39.36 O
0 109.11 0.43 0.44 0.02 0.49 0.49 P
18.72 108.47 1.22 1.22
-0.01 1.34 1.35 Q
9.53 93.97 32.96 37.88 3.95 37.33 42.46 R
9.44 90.25 32.78 37.87 4.01 37.22 42.48 S
0 11.83 25.88 30.04 5.34 31.54 35.60 T
0 12.47 25.88 30.04 5.35 31.55 35.60 U
6.1 12.61 25.93 30.06 5.34 31.53 35.60 V
6.43 54.63 28.13 34.45 6.96 35.47 41.46 W
6.75 91.08 32.70 37.86 4.06 37.19 42.51 X
0 91.21 32.76 37.92 4.08 37.23 42.59 Y
0 94.02 32.77 37.92 4.05 37.22 42.57 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 69 of 123 Table 7-14. HAC temperature differences from baseline (HSH, LTC, LD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(cm) y (cm)
Temperature (°C)
A 23.33 108.39 0.41 0.42
-0.02 0.43 0.44 B
23.33 54.61 0.38 0.39 0.06 0.40 0.41 C
18.76 94.96 24.11 25.37 0.52 25.94 27.16 D
7.92 11.16 24.03 30.23 6.28 30.03 36.81 E
7.92 54.62 25.52 34.24 6.40 31.68 41.25 F
0 11.16 24.00 30.25 6.76 30.38 37.30 G
11 94.91 30.81 33.30 2.32 34.34 36.73 H
11.07 54.61 25.48 34.27 6.07 31.48 40.90 I
11 11.15 24.10 30.10 5.99 29.83 36.34 J
23.77
-0.27 0.07 0.08 0.01 0.08 0.08 K
0 0.55 0.41 0.41 0.06 0.45 0.46 L
8.32 88.84 29.13 33.88 4.32 34.08 39.05 M
0 108.64 3.18 3.18
-1.40 3.32 3.32 N
0 95.21 30.88 34.55 3.66 35.59 39.14 O
0 109.11 0.09 0.09
-0.69 0.11 0.12 P
18.72 108.47 1.15 1.15
-0.37 1.22 1.22 Q
9.53 93.97 29.42 34.32 5.52 35.22 40.51 R
9.44 90.25 29.34 34.28 5.58 35.20 40.53 S
0 11.83 24.11 30.95 7.99 31.40 39.23 T
0 12.47 24.11 30.95 7.99 31.41 39.24 U
6.1 12.61 24.12 31.00 7.98 31.41 39.27 V
6.43 54.63 25.66 33.71 9.53 34.43 43.37 W
6.75 91.08 29.31 34.26 5.61 35.21 40.55 X
0 91.21 29.34 34.29 5.60 35.23 40.57 Y
0 94.02 29.37 34.30 5.58 35.23 40.56 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 70 of 123 Fig. 7-22. Transient temperatures for HAC Cooldown with no insolation
[(LSH, HTC, HD, 277LD)-case and 5 W].
38 48 58 68 78 88 98 108 118 128 0
5 10 15 20 25 30 35 40 45 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
O-ring (Node W)
DAC M801940-0002 000 00 Page 71 of 123 Fig. 7-23. Transient temperatures for HAC Cooldown with insolation before the fire
[(LSH, HTC, HD, 277LD)-case and 5 W].
38 58 78 98 118 138 158 0
5 10 15 20 25 30 35 40 45 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
O-ring (Node W)
DAC M801940-0002 000 00 Page 72 of 123 Fig. 7-24. Transient temperatures for HAC Cooldown with insolation before and after the fire
[(LSH, HTC, HD, 277LD)-case and 5 W].
50 70 90 110 130 150 170 0
5 10 15 20 25 30 35 40 45 Temperature (°C)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
O-ring (Node W)
DAC M801940-0002 000 00 Page 73 of 123 Fig. 7-25. Temperature gradient for HAC at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 0 W].
DAC M801940-0002 000 00 Page 74 of 123 Fig. 7-26. Temperature gradient for HAC at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 5 W].
DAC M801940-0002 000 00 Page 75 of 123 Section 8:
Conclusions 8.1 Steady-state In accordance with 10 CFR 71.43(g), the maximum temperature of all accessible surfaces of a package will not exceed 50°C (122°F) in a nonexclusive use shipment or 85°C (185°F) in an exclusive use shipment when exposed to 38°C (100°F) ambient temperature in still air and no insolation. This is equivalent to steady-state conditions. From Fig. 7-1, Nodes A, B, O, and P represent the accessible surfaces. As shown in Table 7-1, Node B results in the highest steady state temperature and reaches a maximum temperature of 38.30°C (100.94°F) for all of the Packcrete property combinations. In comparison, the Kaolite case reaches a temperature of 38.31°C (100.1°F) at Node B. The maximum temperatures calculated for the accessible surfaces of the package for all property combinations are below the temperature limits for both nonexclusive use and exclusive use.
From Table 7-2, Node B results in the highest steady-state temperature for the additional analyses with ambient conditions at 55°C (131°F) in still air and in the shade in accordance with IAEA requirements.
In these analyses, Node B reaches a maximum of 55.45°C (131.81°F) across all of the Packcrete property combinations, and the maximum temperature of the Kaolite case reached 55.46°C 8.2 NCT The CV of the ES-3100 is sealed using ethylene propylene diene monomer O-rings (Sect. 2, package design drawings) that are rated for 1000 h of continuous service at 150°C (302°F) in order to maintain containment (Parker O-Ring Handbook). The CV O-rings are not specifically modeled; however, the O-ring temperature may be estimated as being equal to the temperature of the nodes in CV flange region.
From Fig. 7-1, Node W represents the CV O-ring. The maximum temperature at this node for 0 W content heat load occurred in the (LSH, HTC, HD, 277HD)-property combination with 84.9°C (184.82°F). The maximum temperature at this node for 5 W content heat load occurred in the (LSH, HTC, HD, 277LD)-property combination with 89.53°C (193.16°F). In comparison, the Kaolite case resulted in maximum temperatures at Node W of 85.34°C (185.6°F) and 89.49°C (193.1°F) for the 0 W and 5 W cases, respectively. These calculated maximum temperatures for the CV O-rings are below the allowable temperature.
8.3 HAC For HAC with insolation before and after the fire, the maximum O-ring temperature of 148.53°C (299.3°F) at Node W for the 0 W content heat load occurred during the (LSH, HTC, HD, 277LD)-
property combination. The maximum O-ring temperature of 153.18°C (307.7°F) at Node W for the 5 W content heat load also occurred during the (LSH, HTC, HD, 277LD)-property combination. This exceeds the 150°C limit for the CV O-rings and requires further evaluation in the Safety Analysis Report for Packaging. In comparison, the Kaolite cases experienced temperatures of 145.02°C (293.04°F) and 149.05°C (300.3°F) for the 0 W and 5 W, respectively.
DAC M801940-0002 000 00 Page 76 of 123 Appendix A: Kaolite Specific Heat FAX Communication
DAC M801940-0002 000 00 Page 77 of 123 Appendix B: Convection Coefficient Calculation Spreadsheets The spreadsheets used for calculating the coefficients for normal conditions of transport (NCT) are shown in Figs. B-1 and B-2.
Fig. B-1. Free convection coefficients for drum top during NCT and steady-state conditions.
Drum Top, NCT Ambient Temp, Tamb 100 F
310.93 K
Drum lid diameter 19.26 in Characteristic Length, L 4.815 in 0.1223 m
Ra < 107 Ra > 107 C1 0.54 0.15 C2 0.25 0.3333 Film Temperature, (K)
Kinematic Visc (m2/s)
Thermal Conductivity k (W/mK)
Pr Required Drum Temp, (K)
T (K)
RaL h (W/m2K) h (Btu/sin2°F)
Film Temp (°F)
Film Temp (°C) 300 1.589E-05 0.0263 0.707 289.07
-21.86 3.661E+06 5.0794 1.7257E-06 80.33 26.85 350 2.092E-05 0.0300 0.700 389.07 78.14 6.409E+06 6.6646 2.2642E-06 170.33 76.85 400 2.641E-05 0.0338 0.690 489.07 178.14 7.907E+06 7.9136 2.6886E-06 260.33 126.85 450 3.239E-05 0.0373 0.686 589.07 278.14 7.253E+06 8.5468 2.9037E-06 350.33 176.85 500 3.879E-05 0.0407 0.684 689.07 378.14 6.170E+06 8.9562 3.0428E-06 440.33 226.85 550 4.557E-05 0.0439 0.683 789.07 478.14 5.131E+06 9.2253 3.1342E-06 530.33 276.85 600 5.269E-05 0.0469 0.685 889.07 578.14 4.267E+06 9.4114 3.1974E-06 620.33 326.85 650 6.021E-05 0.0497 0.690 989.07 678.14 3.564E+06 9.5343 3.2392E-06 710.33 376.85 700 6.810E-05 0.0524 0.695 1089.07 778.14 2.990E+06 9.6205 3.2685E-06 800.33 426.85 750 7.637E-05 0.0549 0.702 1189.07 878.14 2.529E+06 9.6666 3.2841E-06 890.33 476.85 800 8.493E-05 0.0573 0.709 1289.07 978.14 2.157E+06 9.6954 3.2939E-06 980.33 526.85 850 9.380E-05 0.0596 0.716 1389.07 1078.14 1.852E+06 9.7082 3.2983E-06 1070.33 576.85 900 1.029E-04 0.0620 0.720 1489.07 1178.14 1.597E+06 9.7322 3.3064E-06 1160.33 626.85 950 1.122E-04 0.0643 0.723 1589.07 1278.14 1.387E+06 9.7424 3.3099E-06 1250.33 676.85 1000 1.219E-04 0.0667 0.726 1689.07 1378.14 1.208E+06 9.7642 3.3173E-06 1340.33 726.85 1100 1.418E-04 0.0715 0.728 1889.07 1578.14 9.322E+05 9.8094 3.3326E-06 1520.33 826.85 1200 1.629E-04 0.0763 0.728 2089.07 1778.14 7.295E+05 9.8457 3.3450E-06 1700.33 926.85 1300 1.851E-04 0.0820 0.719 2289.07 1978.14 5.730E+05 9.9615 3.3843E-06 1880.33 1026.85
DAC M801940-0002 000 00 Page 78 of 123 Fig. B-2. Free convection coefficients for drum side during NCT and steady-state conditions.
Drum Side, NCT Ambient Temp, Tamb 100 F
310.93 K
Drum Height 43.32 in Characteristic Length, L 43.32 in 1.1003 m
Ra < 109 Ra > 109 C3 0.68 0.825 C4 0.67 0.387 C5 0.25 0.1667 C6 0.4444 0.2963 C7 1
2 Film Temperature, (K)
Kinematic Visc (m2/s)
Thermal Conductivity k (W/mK)
Pr Required Drum Temp, (K)
T (K)
RaL h (W/m2K) h (Btu/sin2°F)
Film Temp (°F)
Film Temp (°C) 300 1.589E-05 0.0263 0.707 289.07
-21.86 2.666E+09 3.9785 1.3517E-06 80.33 26.85 350 2.092E-05 0.0300 0.700 389.07 78.14 4.667E+09 5.3998 1.8345E-06 170.33 76.85 400 2.641E-05 0.0338 0.690 489.07 178.14 5.758E+09 6.4854 2.2034E-06 260.33 126.85 450 3.239E-05 0.0373 0.686 589.07 278.14 5.282E+09 6.9598 2.3645E-06 350.33 176.85 500 3.879E-05 0.0407 0.684 689.07 378.14 4.493E+09 7.2152 2.4513E-06 440.33 226.85 550 4.557E-05 0.0439 0.683 789.07 478.14 3.737E+09 7.3442 2.4951E-06 530.33 276.85 600 5.269E-05 0.0469 0.685 889.07 578.14 3.107E+09 7.4092 2.5172E-06 620.33 326.85 650 6.021E-05 0.0497 0.690 989.07 678.14 2.595E+09 7.4300 2.5243E-06 710.33 376.85 700 6.810E-05 0.0524 0.695 1089.07 778.14 2.177E+09 7.4240 2.5222E-06 800.33 426.85 750 7.637E-05 0.0549 0.702 1189.07 878.14 1.842E+09 7.3942 2.5121E-06 890.33 476.85 800 8.493E-05 0.0573 0.709 1289.07 978.14 1.571E+09 7.3554 2.4989E-06 980.33 526.85 850 9.380E-05 0.0596 0.716 1389.07 1078.14 1.349E+09 7.3082 2.4829E-06 1070.33 576.85 900 1.029E-04 0.0620 0.720 1489.07 1178.14 1.163E+09 7.2677 2.4691E-06 1160.33 626.85 950 1.122E-04 0.0643 0.723 1589.07 1278.14 1.010E+09 7.2191 2.4526E-06 1250.33 676.85 1000 1.219E-04 0.0667 0.726 1689.07 1378.14 8.800E+08 5.4235 1.8426E-06 1340.33 726.85 1100 1.418E-04 0.0715 0.728 1889.07 1578.14 6.788E+08 5.4531 1.8526E-06 1520.33 826.85 1200 1.629E-04 0.0763 0.728 2089.07 1778.14 5.313E+08 5.4761 1.8604E-06 1700.33 926.85 1300 1.851E-04 0.0820 0.719 2289.07 1978.14 4.173E+08 5.5359 1.8807E-06 1880.33 1026.85
DAC M801940-0002 000 00 Page 79 of 123 Fig. B-3. Free convection coefficients for drum top during 55°C (131°F) ambient steady-state conditions.
Drum Top, NCT Ambient Temp, Tamb 131 F
328.15 K
Drum lid diameter 19.26 in Characteristic Length, L 4.815 in 0.1223 m
Ra < 107 Ra > 107 C1 0.54 0.15 C2 0.25 0.3333 Film Temperature, (K)
Kinematic Visc (m2/s)
Thermal Conductivity k (W/mK)
Pr Required Drum Temp, (K)
T (K)
RaL h (W/m2K) h (Btu/sin2°F)
Film Temp (°F)
Film Temp (°C) 300 1.589E-05 0.0263 0.707 271.85
-56.30 9.430E+06 6.4350 2.1862E-06 80.33 26.85 350 2.092E-05 0.0300 0.700 371.85 43.70 3.584E+06 5.7633 1.9580E-06 170.33 76.85 400 2.641E-05 0.0338 0.690 471.85 143.70 6.378E+06 7.4998 2.5480E-06 260.33 126.85 450 3.239E-05 0.0373 0.686 571.85 243.70 6.355E+06 8.2689 2.8093E-06 350.33 176.85 500 3.879E-05 0.0407 0.684 671.85 343.70 5.608E+06 8.7449 2.9710E-06 440.33 226.85 550 4.557E-05 0.0439 0.683 771.85 443.70 4.762E+06 9.0545 3.0762E-06 530.33 276.85 600 5.269E-05 0.0469 0.685 871.85 543.70 4.012E+06 9.2680 3.1487E-06 620.33 326.85 650 6.021E-05 0.0497 0.690 971.85 643.70 3.383E+06 9.4109 3.1973E-06 710.33 376.85 700 6.810E-05 0.0524 0.695 1071.85 743.70 2.857E+06 9.5122 3.2317E-06 800.33 426.85 750 7.637E-05 0.0549 0.702 1171.85 843.70 2.430E+06 9.5704 3.2514E-06 890.33 476.85 800 8.493E-05 0.0573 0.709 1271.85 943.70 2.081E+06 9.6089 3.2645E-06 980.33 526.85 850 9.380E-05 0.0596 0.716 1371.85 1043.70 1.793E+06 9.6298 3.2716E-06 1070.33 576.85 900 1.029E-04 0.0620 0.720 1471.85 1143.70 1.551E+06 9.6602 3.2820E-06 1160.33 626.85 950 1.122E-04 0.0643 0.723 1571.85 1243.70 1.349E+06 9.6761 3.2874E-06 1250.33 676.85 1000 1.219E-04 0.0667 0.726 1671.85 1343.70 1.178E+06 9.7026 3.2964E-06 1340.33 726.85 1100 1.418E-04 0.0715 0.728 1871.85 1543.70 9.118E+05 9.7554 3.3143E-06 1520.33 826.85 1200 1.629E-04 0.0763 0.728 2071.85 1743.70 7.154E+05 9.7977 3.3287E-06 1700.33 926.85 1300 1.851E-04 0.0820 0.719 2271.85 1943.70 5.631E+05 9.9179 3.3695E-06 1880.33 1026.85
DAC M801940-0002 000 00 Page 80 of 123 Fig. B-4. Free convection coefficients for drum top during 55°C (131°F) ambient steady-state conditions.
Drum Side, NCT Ambient Temp, Tamb 131 F
328.15 K
Drum Height 43.32 in Characteristic Length, L 43.32 in 1.1003 m
Ra < 109 Ra > 109 C3 0.68 0.825 C4 0.67 0.387 C5 0.25 0.1667 C6 0.4444 0.2963 C7 1
2 Film Temperature, (K)
Kinematic Visc (m2/s)
Thermal Conductivity k (W/mK)
Pr Required Drum Temp, (K)
T (K)
RaL h (W/m2K) h (Btu/sin2°F)
Film Temp (°F)
Film Temp (°C) 300 1.589E-05 0.0263 0.707 271.85
-56.30 6.867E+09 5.3526 1.8185E-06 80.33 26.85 350 2.092E-05 0.0300 0.700 371.85 43.70 2.610E+09 4.5020 1.5295E-06 170.33 76.85 400 2.641E-05 0.0338 0.690 471.85 143.70 4.645E+09 6.0622 2.0596E-06 260.33 126.85 450 3.239E-05 0.0373 0.686 571.85 243.70 4.628E+09 6.6769 2.2684E-06 350.33 176.85 500 3.879E-05 0.0407 0.684 671.85 343.70 4.084E+09 7.0024 2.3790E-06 440.33 226.85 550 4.557E-05 0.0439 0.683 771.85 443.70 3.468E+09 7.1744 2.4374E-06 530.33 276.85 600 5.269E-05 0.0469 0.685 871.85 543.70 2.922E+09 7.2684 2.4694E-06 620.33 326.85 650 6.021E-05 0.0497 0.690 971.85 643.70 2.463E+09 7.3102 2.4836E-06 710.33 376.85 700 6.810E-05 0.0524 0.695 1071.85 743.70 2.081E+09 7.3201 2.4869E-06 800.33 426.85 750 7.637E-05 0.0549 0.702 1171.85 843.70 1.770E+09 7.3029 2.4811E-06 890.33 476.85 800 8.493E-05 0.0573 0.709 1271.85 943.70 1.515E+09 7.2740 2.4713E-06 980.33 526.85 850 9.380E-05 0.0596 0.716 1371.85 1043.70 1.306E+09 7.2351 2.4581E-06 1070.33 576.85 900 1.029E-04 0.0620 0.720 1471.85 1143.70 1.129E+09 7.2013 2.4466E-06 1160.33 626.85 950 1.122E-04 0.0643 0.723 1571.85 1243.70 9.826E+08 5.3711 1.8248E-06 1250.33 676.85 1000 1.219E-04 0.0667 0.726 1671.85 1343.70 8.580E+08 5.3896 1.8311E-06 1340.33 726.85 1100 1.418E-04 0.0715 0.728 1871.85 1543.70 6.640E+08 5.4233 1.8425E-06 1520.33 826.85 1200 1.629E-04 0.0763 0.728 2071.85 1743.70 5.210E+08 5.4496 1.8514E-06 1700.33 926.85 1300 1.851E-04 0.0820 0.719 2271.85 1943.70 4.101E+08 5.5118 1.8726E-06 1880.33 1026.85
DAC M801940-0002 000 00 Page 81 of 123 The spreadsheets used for calculating the coefficients for hypothetical accident conditions (HAC) are shown in Figs. B-5 through B-8.
Fig. B-5. Forced convection coefficients for drum top and bottom during HAC fire conditions.
Drum Top and Bottom, HAC Drum lid diameter 19.26 in Characteristic Length, L 19.26 in 0.4892 m
Gas Velocity 393.71 in/s 10.000234 m/s Re < 5x105 Re > 5x105 C8 0.664 0.037 C9 1/2 4/5 C10 0
871 Film Temperature, (K)
Kinematic Visc (m2/s)
Thermal Conductivity k (W/mK)
Pr ReL h (W/m2K) h (Btu/sin2°F) Film Temp (°F)
Film Temp (°C) 300 1.589E-05 0.0263 0.707 3.079E+05 17.645 5.9948E-06 80.33 26.85 350 2.092E-05 0.0300 0.700 2.339E+05 17.484 5.9399E-06 170.33 76.85 400 2.641E-05 0.0338 0.690 1.852E+05 17.448 5.9278E-06 260.33 126.85 450 3.239E-05 0.0373 0.686 1.510E+05 17.353 5.8955E-06 350.33 176.85 500 3.879E-05 0.0407 0.684 1.261E+05 17.285 5.8726E-06 440.33 226.85 550 4.557E-05 0.0439 0.683 1.074E+05 17.193 5.8413E-06 530.33 276.85 600 5.269E-05 0.0469 0.685 9.285E+04 17.099 5.8092E-06 620.33 326.85 650 6.021E-05 0.0497 0.690 8.125E+04 16.992 5.7727E-06 710.33 376.85 700 6.810E-05 0.0524 0.695 7.184E+04 16.885 5.7367E-06 800.33 426.85 750 7.637E-05 0.0549 0.702 6.406E+04 16.762 5.6946E-06 890.33 476.85 800 8.493E-05 0.0573 0.709 5.760E+04 16.644 5.6548E-06 980.33 526.85 850 9.380E-05 0.0596 0.716 5.216E+04 16.528 5.6151E-06 1070.33 576.85 900 1.029E-04 0.0620 0.720 4.754E+04 16.446 5.5873E-06 1160.33 626.85 950 1.122E-04 0.0643 0.723 4.360E+04 16.356 5.5569E-06 1250.33 676.85 1000 1.219E-04 0.0667 0.726 4.013E+04 16.300 5.5379E-06 1340.33 726.85 1100 1.418E-04 0.0715 0.728 3.450E+04 16.216 5.5092E-06 1520.33 826.85 1200 1.629E-04 0.0763 0.728 3.003E+04 16.145 5.4851E-06 1700.33 926.85 1300 1.851E-04 0.0820 0.719 2.643E+04 16.210 5.5072E-06 1880.33 1026.85
DAC M801940-0002 000 00 Page 82 of 123 Fig. B-6. Forced convection coefficients for drum side during HAC fire conditions.
Drum Side, HAC Drum body diameter 18.37 in Characteristic Length, D 18.37 in 0.4666 m
Gas Velocity 393.71 in/s 10.000234 m/s Film Temperature, (K)
Kinematic Visc (m2/s)
Thermal Conductivity k (W/mK)
Pr ReD h (W/m2K) h (Btu/sin2°F) Film Temp (°F)
Film Temp (°C) 300 1.589E-05 0.0263 0.707 2.937E+05 26.065 8.8555E-06 80.33 26.85 350 2.092E-05 0.0300 0.700 2.230E+05 24.148 8.2042E-06 170.33 76.85 400 2.641E-05 0.0338 0.690 1.767E+05 22.861 7.7669E-06 260.33 126.85 450 3.239E-05 0.0373 0.686 1.441E+05 21.795 7.4047E-06 350.33 176.85 500 3.879E-05 0.0407 0.684 1.203E+05 20.972 7.1251E-06 440.33 226.85 550 4.557E-05 0.0439 0.683 1.024E+05 20.268 6.8858E-06 530.33 276.85 600 5.269E-05 0.0469 0.685 8.856E+04 19.677 6.6850E-06 620.33 326.85 650 6.021E-05 0.0497 0.690 7.750E+04 19.156 6.5079E-06 710.33 376.85 700 6.810E-05 0.0524 0.695 6.852E+04 18.699 6.3528E-06 800.33 426.85 750 7.637E-05 0.0549 0.702 6.110E+04 18.276 6.2091E-06 890.33 476.85 800 8.493E-05 0.0573 0.709 5.494E+04 17.903 6.0824E-06 980.33 526.85 850 9.380E-05 0.0596 0.716 4.975E+04 17.564 5.9673E-06 1070.33 576.85 900 1.029E-04 0.0620 0.720 4.535E+04 17.287 5.8731E-06 1160.33 626.85 950 1.122E-04 0.0643 0.723 4.159E+04 17.025 5.7839E-06 1250.33 676.85 1000 1.219E-04 0.0667 0.726 3.828E+04 16.814 5.7123E-06 1340.33 726.85 1100 1.418E-04 0.0715 0.728 3.291E+04 16.464 5.5934E-06 1520.33 826.85 1200 1.629E-04 0.0763 0.728 2.864E+04 16.170 5.4935E-06 1700.33 926.85 1300 1.851E-04 0.0820 0.719 2.521E+04 16.033 5.4470E-06 1880.33 1026.85
DAC M801940-0002 000 00 Page 83 of 123 Fig. B-7. Free convection coefficients for drum top and bottom during HAC cooldown conditions.
Drum Top and Bottom, HAC, Cooldown Ambient Temp, Tamb 100 F
310.93 K
Drum lid diameter 19.26 in Characteristic Length, L 19.26 in 0.4892 m
Ra < 109 Ra > 109 C3 0.68 0.825 C4 0.67 0.387 C5 0.25 0.1667 C6 0.4444 0.2963 C7 1
2 Film Temperature, (K)
Kinematic Visc (m2/s)
Thermal Conductivity k (W/mK)
Pr Required Drum Temp, (K)
T (K)
RaL h (W/m2K) h (Btu/sin2°F)
Film Temp (°F)
Film Temp (°C) 300 1.589E-05 0.0263 0.707 289.07
-21.86 2.343E+08 3.455 1.1739E-06 80.33 26.85 350 2.092E-05 0.0300 0.700 389.07 78.14 4.102E+08 4.522 1.5364E-06 170.33 76.85 400 2.641E-05 0.0338 0.690 489.07 178.14 5.060E+08 5.359 1.8206E-06 260.33 126.85 450 3.239E-05 0.0373 0.686 589.07 278.14 4.642E+08 5.785 1.9653E-06 350.33 176.85 500 3.879E-05 0.0407 0.684 689.07 378.14 3.949E+08 6.062 2.0596E-06 440.33 226.85 550 4.557E-05 0.0439 0.683 789.07 478.14 3.284E+08 6.2461 2.1220E-06 530.33 276.85 600 5.269E-05 0.0469 0.685 889.07 578.14 2.731E+08 6.3771 2.1666E-06 620.33 326.85 650 6.021E-05 0.0497 0.690 989.07 678.14 2.281E+08 6.4687 2.1977E-06 710.33 376.85 700 6.810E-05 0.0524 0.695 1089.07 778.14 1.913E+08 6.5356 2.2204E-06 800.33 426.85 750 7.637E-05 0.0549 0.702 1189.07 878.14 1.619E+08 6.5774 2.2346E-06 890.33 476.85 800 8.493E-05 0.0573 0.709 1289.07 978.14 1.380E+08 6.6073 2.2448E-06 980.33 526.85 850 9.380E-05 0.0596 0.716 1389.07 1078.14 1.186E+08 6.6264 2.2512E-06 1070.33 576.85 900 1.029E-04 0.0620 0.720 1489.07 1178.14 1.022E+08 6.6499 2.2592E-06 1160.33 626.85 950 1.122E-04 0.0643 0.723 1589.07 1278.14 8.875E+07 6.6631 2.2637E-06 1250.33 676.85 1000 1.219E-04 0.0667 0.726 1689.07 1378.14 7.733E+07 6.6841 2.2709E-06 1340.33 726.85 1100 1.418E-04 0.0715 0.728 1889.07 1578.14 5.966E+07 6.7234 2.2842E-06 1520.33 826.85 1200 1.629E-04 0.0763 0.728 2089.07 1778.14 4.669E+07 6.7545 2.2948E-06 1700.33 926.85 1300 1.851E-04 0.0820 0.719 2289.07 1978.14 3.668E+07 6.8313 2.3209E-06 1880.33 1026.85
DAC M801940-0002 000 00 Page 84 of 123 Fig. B-8. Free convection coefficients for drum side during HAC cooldown conditions.
Drum Side, HAC, Cooldown Ambient Temp, Tamb 100 F
310.93 K
Drum body diameter 18.37 in Characteristic Length, L 18.37 in 0.4666 m
Film Temperature, (K)
Kinematic Visc (m2/s)
Thermal Conductivity k (W/mK)
Pr Required Drum Temp, (K)
T (K)
RaL h (W/m2K) h (Btu/sin2°F)
Film Temp (°F)
Film Temp (°C) 300 1.589E-05 0.0263 0.707 289.07
-21.86 2.033E+08 3.966 1.3473E-06 80.33 26.85 350 2.092E-05 0.0300 0.700 389.07 78.14 3.559E+08 5.375 1.8261E-06 170.33 76.85 400 2.641E-05 0.0338 0.690 489.07 178.14 4.391E+08 6.452 2.1920E-06 260.33 126.85 450 3.239E-05 0.0373 0.686 589.07 278.14 4.028E+08 6.925 2.3527E-06 350.33 176.85 500 3.879E-05 0.0407 0.684 689.07 378.14 3.426E+08 7.182 2.4399E-06 440.33 226.85 550 4.557E-05 0.0439 0.683 789.07 478.14 2.849E+08 7.3134 2.4847E-06 530.33 276.85 600 5.269E-05 0.0469 0.685 889.07 578.14 2.369E+08 7.3815 2.5078E-06 620.33 326.85 650 6.021E-05 0.0497 0.690 989.07 678.14 1.979E+08 7.4058 2.5160E-06 710.33 376.85 700 6.810E-05 0.0524 0.695 1089.07 778.14 1.660E+08 7.4034 2.5152E-06 800.33 426.85 750 7.637E-05 0.0549 0.702 1189.07 878.14 1.404E+08 7.3773 2.5064E-06 890.33 476.85 800 8.493E-05 0.0573 0.709 1289.07 978.14 1.198E+08 7.3420 2.4944E-06 980.33 526.85 850 9.380E-05 0.0596 0.716 1389.07 1078.14 1.029E+08 7.2983 2.4795E-06 1070.33 576.85 900 1.029E-04 0.0620 0.720 1489.07 1178.14 8.871E+07 7.2610 2.4669E-06 1160.33 626.85 950 1.122E-04 0.0643 0.723 1589.07 1278.14 7.700E+07 7.2155 2.4514E-06 1250.33 676.85 1000 1.219E-04 0.0667 0.726 1689.07 1378.14 6.710E+07 7.1809 2.4396E-06 1340.33 726.85 1100 1.418E-04 0.0715 0.728 1889.07 1578.14 5.176E+07 7.1156 2.4174E-06 1520.33 826.85 1200 1.629E-04 0.0763 0.728 2089.07 1778.14 4.051E+07 7.0490 2.3948E-06 1700.33 926.85 1300 1.851E-04 0.0820 0.719 2289.07 1978.14 3.182E+07 7.0301 2.3884E-06 1880.33 1026.85
DAC M801940-0002 000 00 Page 85 of 123 Appendix C: Results in U.S. Customary Units Tables C-1 through C-4 summarize the locations and temperatures of the nodes in U.S. customary units for steady state, normal conditions of transport (NCT), and hypothetical accident conditions (HAC).
Table C-1. Steady state temperatures (5 W and 100°F ambient conditions)
Node ID Location
- ASH, HTC, HD, 277HD
- ASH, HTC, HD, 277LD
- ASH, LTC, LD, 277HD
- ASH, LTC, LD, 277LD
- HSH, LTC, LD, 277HD
- HSH, LTC, LD, 277LD
- LSH, HTC, HD, 277HD
- LSH, HTC, HD, 277LD Kaolite LD, 277LD x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 100.38 100.38 100.49 100.47 100.49 100.49 100.38 100.38 100.36 B
9.19 21.50 100.94 100.94 100.87 100.85 100.87 100.87 100.94 100.94 100.96 C
7.39 37.39 102.11 102.11 102.97 102.88 102.92 102.94 102.11 102.11 101.91 D
3.12 4.40 107.94 107.94 112.15 112.05 112.12 112.12 107.94 107.94 106.79 E
3.12 21.50 107.80 107.80 111.58 111.47 111.56 111.56 107.80 107.80 106.77 F
0.00 4.40 108.79 108.79 113.02 112.91 112.98 112.98 108.79 108.79 107.65 G
4.33 37.37 103.78 103.78 105.37 105.21 105.28 105.30 103.78 103.78 103.42 H
4.36 21.50 107.33 107.33 111.13 111.02 111.09 111.11 107.33 107.33 106.29 I
4.33 4.39 107.44 107.44 111.67 111.58 111.63 111.63 107.44 107.44 106.30 J
9.36
-0.11 101.32 101.32 101.35 101.35 101.35 101.35 101.32 101.32 101.28 K
0.00 0.22 102.78 102.78 102.96 102.94 102.96 102.96 102.78 102.78 102.69 L
3.28 34.98 105.49 105.49 107.89 107.58 107.69 107.71 105.49 105.49 104.95 M
0.00 42.77 100.85 100.85 100.87 100.85 100.87 100.87 100.85 100.85 100.87 N
0.00 37.48 105.28 105.28 107.17 107.02 107.13 107.13 105.28 105.28 104.81 O
0.00 42.95 100.44 100.44 100.47 100.47 100.47 100.47 100.44 100.44 100.45 P
7.37 42.70 100.45 100.45 100.60 100.58 100.58 100.58 100.45 100.45 100.42 Q
3.75 37.00 108.09 108.09 110.21 110.01 110.14 110.14 108.09 108.09 107.62 R
3.72 35.53 108.18 108.18 110.34 110.12 110.25 110.25 108.18 108.18 107.73 S
0.00 4.66 111.00 111.00 115.14 115.03 115.12 115.11 111.00 111.00 109.89 T
0.00 4.91 111.00 111.00 115.16 115.03 115.12 115.12 111.00 111.00 109.90 U
2.40 4.97 111.00 111.00 115.14 115.03 115.11 115.11 111.00 111.00 109.89 V
2.53 21.51 114.48 114.48 118.02 117.91 118.00 118.00 114.48 114.48 113.54 W
2.66 35.86 108.27 108.27 110.41 110.21 110.32 110.34 108.27 108.27 107.80 X
0.00 35.91 108.25 108.25 110.39 110.19 110.32 110.32 108.25 108.25 107.80 Y
0.00 37.02 108.21 108.21 110.35 110.14 110.26 110.28 108.21 108.21 107.74
DAC M801940-0002 000 00 Page 86 of 123 Table C-2. Steady state temperatures (5 W and 131°F ambient conditions)
Node ID Location
- ASH, HTC, HD, 277HD
- ASH, HTC, HD, 277LD
- ASH, LTC, LD, 277HD
- ASH, LTC, LD, 277LD
- HSH, LTC, LD, 277HD
- HSH, LTC, LD, 277LD
- LSH, HTC, HD, 277HD
- LSH, HTC, HD, 277LD Kaolite LD, 277LD x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 131.31 131.31 131.38 131.38 131.40 131.38 131.31 131.31 131.29 B
9.19 21.50 131.81 131.81 131.72 131.72 131.74 131.72 131.81 131.81 131.83 C
7.39 37.39 132.89 132.89 133.50 133.48 133.61 133.47 132.89 132.89 132.71 D
3.12 4.40 138.65 138.65 142.38 142.38 142.61 142.43 138.65 138.65 137.61 E
3.12 21.50 138.56 138.56 141.89 141.87 142.09 141.85 138.56 138.56 137.61 F
0.00 4.40 139.46 139.46 143.15 143.13 143.40 143.20 139.46 139.46 138.40 G
4.33 37.37 134.46 134.46 135.59 135.57 135.77 135.52 134.46 134.46 134.13 H
4.36 21.50 138.06 138.06 141.40 141.40 141.60 141.39 138.06 138.06 137.08 I
4.33 4.39 138.16 138.16 141.91 141.91 142.14 141.96 138.16 138.16 137.12 J
9.36
-0.11 132.17 132.17 132.17 132.17 132.21 132.19 132.17 132.17 132.15 K
0.00 0.22 133.59 133.59 133.68 133.68 133.74 133.68 133.59 133.59 133.50 L
3.28 34.98 136.04 136.04 137.79 137.73 138.02 137.64 136.04 136.04 135.57 M
0.00 42.77 131.74 131.74 131.70 131.70 131.72 131.68 131.74 131.74 131.74 N
0.00 37.48 135.86 135.86 137.23 137.23 137.46 137.12 135.86 135.86 135.41 O
0.00 42.95 131.38 131.38 131.36 131.36 131.38 131.36 131.38 131.38 131.38 P
7.37 42.70 131.38 131.38 131.47 131.47 131.49 131.45 131.38 131.38 131.34 Q
3.75 37.00 138.43 138.43 139.95 139.93 140.23 139.82 138.43 138.43 137.98 R
3.72 35.53 138.54 138.54 140.07 140.05 140.34 139.93 138.54 138.54 138.07 S
0.00 4.66 141.60 141.60 145.18 145.17 145.45 145.24 141.60 141.60 140.58 T
0.00 4.91 141.60 141.60 145.18 145.18 145.47 145.24 141.60 141.60 140.58 U
2.40 4.97 141.58 141.58 145.17 145.15 145.44 145.22 141.58 141.58 140.56 V
2.53 21.51 144.70 144.70 147.74 147.74 147.99 147.72 144.70 144.70 143.82 W
2.66 35.86 138.61 138.61 140.14 140.13 140.41 140.00 138.61 138.61 138.15 X
0.00 35.91 138.61 138.61 140.13 140.11 140.40 139.98 138.61 138.61 138.15 Y
0.00 37.02 138.58 138.58 140.07 140.07 140.36 139.95 138.58 138.58 138.11
DAC M801940-0002 000 00 Page 87 of 123 Table C-3. NCT maximum quasi steady state temperatures Node ID Location
- ASH, HTC, HD, 277HD
- ASH, HTC, HD, 277LD
- ASH, LTC, LD, 277HD
- ASH, LTC, LD, 277LD
- HSH, LTC, LD, 277HD
- HSH, LTC, LD, 277LD
- LSH, HTC, HD, 277HD
- LSH, HTC, HD, 277LD Kaolite LD, 277LD 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W 0 W 5 W x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 228.61 228.96 228.58 228.96 229.26 229.69 229.23 229.73 228.27 228.79 228.31 228.76 229.21 229.51 229.17 229.55 228.94 229.24 B
9.19 21.50 195.58 196.30 195.60 196.34 196.75 197.38 196.77 197.44 195.82 196.50 195.84 196.48 196.45 197.08 196.47 197.17 196.14 196.83 C
7.39 37.39 209.66 211.89 209.39 211.96 210.49 213.60 210.15 213.82 205.54 209.14 205.63 208.89 212.79 214.79 212.63 214.99 212.22 214.20 D
3.12 4.40 162.14 170.35 162.55 170.76 157.82 169.90 158.09 170.60 154.49 167.23 154.89 167.36 166.19 173.50 166.33 173.82 167.68 174.24 E
3.12 21.50 168.37 176.99 168.85 177.51 163.18 175.35 163.72 176.32 160.07 173.12 160.56 173.30 172.53 180.28 172.89 180.99 174.74 181.83 F
0.00 4.40 161.37 170.44 161.76 170.91 157.32 170.24 157.59 170.96 153.95 167.70 154.35 167.83 165.34 173.53 165.49 173.84 166.71 174.09 G
4.33 37.37 195.76 199.90 195.53 200.01 194.23 199.96 193.89 200.44 187.86 194.47 188.22 194.13 200.34 203.94 200.12 204.33 200.61 204.01 H
4.36 21.50 168.71 176.63 169.25 177.10 163.31 174.81 163.85 175.82 160.14 172.49 160.66 172.65 172.92 180.05 173.30 180.64 175.14 181.65 I
4.33 4.39 162.52 170.20 162.95 170.60 158.05 169.59 158.32 170.31 154.67 166.82 155.05 166.95 166.55 173.44 166.73 173.66 168.08 174.18 J
9.36
-0.11 168.48 169.12 168.48 169.12 167.63 168.22 167.61 168.26 166.33 166.98 166.35 166.98 169.32 169.86 169.30 169.92 169.74 170.31 K
0.00 0.22 147.92 149.65 147.94 149.67 144.84 146.50 144.84 146.57 142.29 144.07 142.34 144.03 149.79 151.27 149.76 151.39 151.21 152.74 L
3.28 34.98 181.35 187.43 181.51 187.70 177.60 186.31 177.71 187.07 171.95 181.58 172.51 181.40 186.03 191.70 186.08 191.82 187.12 192.36 M
0.00 42.77 238.53 239.25 238.41 239.23 241.54 242.35 241.47 242.38 238.62 239.50 238.62 239.41 240.15 240.82 240.06 240.87 239.05 239.76 N
0.00 37.48 191.28 196.81 191.16 196.92 187.65 195.51 187.29 196.18 181.00 189.90 181.47 189.46 195.80 201.36 195.66 201.36 196.32 201.72 O
0.00 42.95 245.66 246.06 245.61 246.04 247.15 247.59 247.10 247.60 245.66 246.13 245.66 246.07 246.51 246.87 246.47 246.88 245.95 246.34 P
7.37 42.70 233.13 233.55 233.08 233.56 234.05 234.61 234.00 234.64 232.81 233.46 232.84 233.42 233.87 234.27 233.83 234.30 233.49 233.89 Q
3.75 37.00 180.48 189.10 180.46 189.25 177.51 188.47 177.26 189.03 172.08 184.32 172.54 183.96 185.07 192.90 184.86 193.17 185.81 193.08 R
3.72 35.53 180.30 189.01 180.34 189.16 177.33 188.42 177.10 189.00 171.91 184.28 172.36 183.92 184.87 192.79 184.71 193.12 185.65 193.03 S
0.00 4.66 161.87 173.23 162.28 173.75 157.62 172.85 157.87 173.53 154.31 170.49 154.74 170.62 165.94 176.25 166.12 176.61 167.43 176.92 T
0.00 4.91 161.87 173.23 162.28 173.77 157.62 172.87 157.87 173.55 154.31 170.51 154.74 170.62 165.94 176.25 166.12 176.63 167.43 176.94 U
2.40 4.97 161.94 173.30 162.36 173.80 157.64 172.89 157.89 173.57 154.35 170.53 154.78 170.65 166.01 176.31 166.21 176.68 167.52 177.01 V
2.53 21.51 167.36 182.71 167.74 183.20 162.77 181.42 163.17 182.23 159.75 179.24 160.16 179.38 171.55 185.70 171.82 186.24 173.37 186.87 W
2.66 35.86 180.25 189.03 180.30 189.21 177.30 188.46 177.06 189.03 171.88 184.32 172.33 183.97 184.82 192.81 184.68 193.15 185.61 193.08 X
0.00 35.91 180.39 189.14 180.45 189.36 177.44 188.58 177.19 189.16 172.00 184.42 172.49 184.10 184.98 192.92 184.82 193.28 185.76 193.21 Y
0.00 37.02 180.43 189.14 180.48 189.34 177.49 188.58 177.24 189.16 172.06 184.42 172.53 184.08 185.02 192.92 184.86 193.28 185.79 193.21
DAC M801940-0002 000 00 Page 88 of 123 Fig. C-1. Transient temperatures for NCT [(ASH, HTC, HD, 277HD)-case and 0 W].
90 110 130 150 170 190 210 230 250 270 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 89 of 123 Fig. C-2. Transient temperatures for NCT [(ASH, HTC, HD, 277HD)-case and 5 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 90 of 123 Fig. C-3. Transient temperatures for NCT [(ASH, HTC, HD, 277LD)-case and 0 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 91 of 123 Fig. C-4. Transient temperatures for NCT [(ASH, HTC, HD, 277LD)-case and 5W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 92 of 123 Fig. C-5. Transient temperatures for NCT [(ASH, LTC, LD, 277HD)-case and 0 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 93 of 123 Fig. C-6. Transient temperatures for NCT [(ASH, LTC, LD, 277HD)-case and 5 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 94 of 123 Fig. C-7. Transient temperatures for NCT [(ASH, LTC, LD, 277LD)-case and 0 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 95 of 123 Fig. C-8. Transient temperatures for NCT [(ASH, LTC, LD, 277LD)-case and 5 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 96 of 123 Fig. C-9. Transient temperatures for NCT [(HSH, LTC, LD, 277HD)-case and 0 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 97 of 123 Fig. C-10. Transient temperatures for NCT [(HSH, LTC, LD, 277HD)-case and 5 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 98 of 123 Fig. C-11. Transient temperatures for NCT [(HSH, LTC, LD, 277LD)-case and 0 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 99 of 123 Fig. C-12. Transient temperatures for NCT [(HSH, LTC, LD, 277LD)-case and 5 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 100 of 123 Fig. C-13. Transient temperatures for NCT [(LSH, HTC, HD, 277HD)-case and 0 W].
90 110 130 150 170 190 210 230 250 270 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 101 of 123 Fig. C-14. Transient temperatures for NCT [(LSH, HTC, HD, 277HD)-case and 5 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 102 of 123 Fig. C-15. Transient temperatures for NCT [(LSH, HTC, HD, 277LD)-case and 0 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 103 of 123 Fig. C-16. Transient temperatures for NCT [(LSH, HTC, HD, 277LD)-case and 5 W].
100 120 140 160 180 200 220 240 260 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Node O)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 104 of 123 Fig. C-17. Transient temperatures for NCT [(Kaolite LD, 277LD)-case and 0 W].
95 115 135 155 175 195 215 235 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Drum Lid)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 105 of 123 Fig. C-18. Transient temperatures for NCT [(Kaolite LD, 277LD)-case and 5 W].
100 120 140 160 180 200 220 240 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
Drum Lid (Drum Lid)
Drum Wall (Node B)
O-ring (Node W)
DAC M801940-0002 000 00 Page 106 of 123 Fig. C-19. Temperature gradient for NCT at time of maximum O-ring temperature
[(LSH, HTC, HD, 277HD)-case and 0 W].
DAC M801940-0002 000 00 Page 107 of 123 Fig. C-20. Temperature gradient for NCT at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 5 W].
DAC M801940-0002 000 00 Page 108 of 123 Table C-4. HAC cooldown maximum temperatures (ASH, HTC, HD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1453.21 1454.25 1454.27 1453.35 1454.27 1454.29 B
9.19 21.50 1455.73 1456.54 1456.56 1455.80 1456.59 1456.61 C
7.39 37.39 558.54 610.50 612.12 561.40 612.75 615.65 D
3.12 4.40 212.22 257.14 265.24 219.25 264.65 272.77 E
3.12 21.50 189.88 238.06 250.30 196.95 246.24 258.48 F
0.00 4.40 209.86 254.57 262.63 217.63 262.65 270.86 G
4.33 37.37 340.20 400.05 409.30 344.21 404.26 414.03 H
4.36 21.50 189.90 238.91 249.51 196.39 246.13 256.89 I
4.33 4.39 216.10 261.45 268.99 222.67 268.43 276.03 J
9.36
-0.11 1471.46 1471.57 1471.59 1471.48 1471.57 1471.59 K
0.00 0.22 1452.96 1453.82 1453.84 1453.05 1453.91 1453.91 L
3.28 34.98 223.12 279.19 288.03 228.47 285.17 294.10 M
0.00 42.77 1315.42 1330.07 1330.07 1317.04 1330.34 1330.34 N
0.00 37.48 262.96 323.91 333.68 268.03 329.59 339.58 O
0.00 42.95 1443.31 1446.57 1446.58 1443.67 1446.62 1446.62 P
7.37 42.70 1397.50 1401.91 1401.91 1398.06 1401.98 1402.00 Q
3.75 37.00 214.18 271.31 281.84 222.08 278.56 289.76 R
3.72 35.53 213.89 270.81 281.53 221.86 278.26 289.53 S
0.00 4.66 204.24 248.68 258.48 213.69 258.66 268.66 T
0.00 4.91 204.22 248.67 258.46 213.69 258.66 268.66 U
2.40 4.97 204.04 248.54 258.33 213.46 258.48 268.48 V
2.53 21.51 192.83 240.78 254.08 205.25 253.98 266.92 W
2.66 35.86 213.82 270.63 281.43 221.85 278.20 289.51 X
0.00 35.91 214.00 270.82 281.75 222.04 278.51 289.83 Y
0.00 37.02 214.09 270.97 281.84 222.10 278.60 289.89 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 109 of 123 Table C-5. HAC cooldown maximum temperatures (ASH, HTC, HD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1453.21 1454.13 1454.14 1453.35 1454.16 1454.18 B
9.19 21.50 1455.73 1456.43 1456.45 1455.80 1456.52 1456.54 C
7.39 37.39 558.54 605.64 608.20 561.42 608.61 611.06 D
3.12 4.40 215.24 258.15 266.58 222.13 266.25 274.51 E
3.12 21.50 193.37 239.61 251.96 200.64 248.16 260.46 F
0.00 4.40 212.81 255.52 263.93 220.44 264.24 272.50 G
4.33 37.37 340.65 396.37 406.17 344.50 401.27 411.28 H
4.36 21.50 193.46 240.31 251.24 200.03 248.14 258.96 I
4.33 4.39 219.13 262.47 270.23 225.63 270.03 277.74 J
9.36
-0.11 1471.46 1471.55 1471.57 1471.48 1471.57 1471.57 K
0.00 0.22 1452.96 1453.78 1453.78 1453.05 1453.87 1453.89 L
3.28 34.98 225.63 279.25 288.27 230.90 285.76 294.84 M
0.00 42.77 1315.42 1328.67 1328.67 1317.04 1329.21 1329.21 N
0.00 37.48 263.43 321.13 331.16 268.54 327.42 337.59 O
0.00 42.95 1443.31 1446.33 1446.33 1443.67 1446.42 1446.44 P
7.37 42.70 1397.50 1401.46 1401.46 1398.06 1401.62 1401.62 Q
3.75 37.00 215.73 270.07 281.26 223.47 278.62 289.78 R
3.72 35.53 215.47 269.67 280.99 223.29 278.28 289.58 S
0.00 4.66 207.28 249.73 260.01 216.88 260.35 270.43 T
0.00 4.91 207.28 249.71 260.01 216.88 260.35 270.43 U
2.40 4.97 207.10 249.60 259.88 216.68 260.19 270.27 V
2.53 21.51 195.93 242.11 255.54 208.62 255.45 268.68 W
2.66 35.86 215.38 269.51 280.90 223.25 278.20 289.54 X
0.00 35.91 215.55 269.71 281.17 223.41 278.42 289.85 Y
0.00 37.02 215.62 269.85 281.26 223.47 278.51 289.90 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 110 of 123 Table C-6. HAC cooldown maximum temperatures (ASH, LTC, LD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1455.30 1456.25 1456.27 1455.55 1456.30 1456.32 B
9.19 21.50 1461.02 1461.49 1461.51 1461.07 1461.54 1461.56 C
7.39 37.39 585.73 635.18 636.42 591.62 639.16 640.42 D
3.12 4.40 176.50 221.63 228.45 187.48 233.33 240.03 E
3.12 21.50 165.97 213.67 227.12 177.06 226.15 239.16 F
0.00 4.40 175.15 220.26 227.23 186.87 232.68 239.50 G
4.33 37.37 341.17 400.73 407.19 347.65 407.10 413.65 H
4.36 21.50 165.34 213.06 226.42 175.80 224.76 237.76 I
4.33 4.39 178.20 223.70 230.00 188.78 234.97 241.21 J
9.36
-0.11 1472.05 1472.13 1472.14 1472.07 1472.14 1472.14 K
0.00 0.22 1459.26 1459.81 1459.81 1459.38 1459.89 1459.89 L
3.28 34.98 203.00 259.72 266.61 211.05 268.68 275.45 M
0.00 42.77 1368.86 1378.00 1378.00 1371.16 1378.56 1378.56 N
0.00 37.48 247.53 308.57 315.84 254.95 316.71 324.07 O
0.00 42.95 1453.21 1455.40 1455.40 1453.93 1455.55 1455.57 P
7.37 42.70 1404.81 1408.95 1408.95 1405.98 1409.18 1409.18 Q
3.75 37.00 199.31 256.64 265.19 209.48 267.17 275.86 R
3.72 35.53 198.86 256.12 264.69 209.14 266.63 275.45 S
0.00 4.66 172.58 217.29 226.00 186.44 232.16 240.39 T
0.00 4.91 172.58 217.29 226.00 186.46 232.16 240.39 U
2.40 4.97 172.47 217.18 225.93 186.31 232.05 240.31 V
2.53 21.51 169.65 217.49 229.86 186.26 234.84 246.60 W
2.66 35.86 198.72 255.97 264.54 209.08 266.50 275.38 X
0.00 35.91 199.08 256.42 265.01 209.39 266.86 275.83 Y
0.00 37.02 199.17 256.57 265.14 209.46 266.99 275.92 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 111 of 123 Table C-7. HAC cooldown maximum temperatures (ASH, LTC, LD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1455.30 1456.27 1456.29 1455.55 1456.29 1456.30 B
9.19 21.50 1461.02 1461.51 1461.52 1461.07 1461.54 1461.56 C
7.39 37.39 585.73 635.54 636.80 591.48 638.40 639.64 D
3.12 4.40 178.95 224.06 231.19 189.88 235.53 242.71 E
3.12 21.50 168.58 216.93 230.02 179.85 228.51 241.90 F
0.00 4.40 177.57 222.67 229.96 189.25 234.77 242.02 G
4.33 37.37 341.42 401.52 407.77 347.79 407.37 413.58 H
4.36 21.50 168.04 216.37 229.28 178.61 227.26 240.48 I
4.33 4.39 180.63 226.20 232.72 191.16 237.27 243.86 J
9.36
-0.11 1472.05 1472.13 1472.14 1472.07 1472.14 1472.14 K
0.00 0.22 1459.26 1459.81 1459.83 1459.38 1459.89 1459.89 L
3.28 34.98 205.21 261.95 268.93 213.17 270.88 277.66 M
0.00 42.77 1368.86 1378.26 1378.26 1371.16 1378.40 1378.40 N
0.00 37.48 247.80 308.73 316.33 255.15 316.72 324.27 O
0.00 42.95 1453.21 1455.49 1455.49 1453.93 1455.51 1455.53 P
7.37 42.70 1404.81 1409.00 1409.02 1405.98 1409.09 1409.09 Q
3.75 37.00 200.61 257.85 266.67 210.69 268.29 277.16 R
3.72 35.53 200.28 257.25 266.20 210.36 267.85 276.80 S
0.00 4.66 175.03 220.08 228.81 188.92 234.14 242.92 T
0.00 4.91 175.03 220.06 228.81 188.94 234.14 242.94 U
2.40 4.97 174.92 219.97 228.76 188.82 234.03 242.87 V
2.53 21.51 171.95 220.59 232.77 188.80 236.79 249.31 W
2.66 35.86 200.19 257.05 266.05 210.33 267.78 276.73 X
0.00 35.91 200.52 257.40 266.47 210.63 268.16 277.16 Y
0.00 37.02 200.61 257.56 266.59 210.67 268.27 277.23 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 112 of 123 Table C-8. HAC cooldown maximum temperatures (HSH, LTC, LD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1447.50 1448.24 1448.26 1447.47 1448.28 1448.29 B
9.19 21.50 1450.62 1451.30 1451.32 1450.72 1451.34 1451.35 C
7.39 37.39 474.10 517.48 519.76 475.03 520.79 522.99 D
3.12 4.40 161.42 204.67 215.83 172.72 215.47 227.68 E
3.12 21.50 157.17 203.11 218.80 168.69 214.20 231.42 F
0.00 4.40 160.70 203.90 215.13 172.85 215.38 227.82 G
4.33 37.37 267.08 322.56 327.04 271.26 328.89 333.19 H
4.36 21.50 156.79 202.66 218.48 167.72 213.46 230.41 I
4.33 4.39 162.23 205.61 216.39 173.01 215.92 227.64 J
9.36
-0.11 1468.29 1468.42 1468.44 1468.31 1468.44 1468.44 K
0.00 0.22 1448.67 1449.41 1449.43 1448.80 1449.48 1449.50 L
3.28 34.98 180.07 232.50 241.03 187.83 241.41 250.34 M
0.00 42.77 1289.16 1294.86 1294.86 1286.64 1295.13 1295.13 N
0.00 37.48 202.57 258.15 264.76 209.16 266.61 273.02 O
0.00 42.95 1439.60 1439.76 1439.76 1438.36 1439.80 1439.82 P
7.37 42.70 1381.69 1383.75 1383.76 1381.03 1383.87 1383.89 Q
3.75 37.00 180.16 233.11 241.92 190.09 243.54 253.06 R
3.72 35.53 179.89 232.68 241.57 189.91 243.23 252.82 S
0.00 4.66 159.51 202.93 215.22 173.89 216.03 230.14 T
0.00 4.91 159.51 202.93 215.22 173.89 216.05 230.14 U
2.40 4.97 159.44 202.86 215.24 173.82 215.98 230.13 V
2.53 21.51 159.30 205.48 219.97 176.45 221.27 237.36 W
2.66 35.86 179.82 232.57 241.48 189.91 243.19 252.81 X
0.00 35.91 180.10 232.93 241.83 190.18 243.54 253.15 Y
0.00 37.02 180.18 233.04 241.93 190.22 243.61 253.20 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 113 of 123 Table C-9. HAC cooldown maximum temperatures (HSH, LTC, LD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1447.50 1448.19 1448.20 1447.47 1448.24 1448.26 B
9.19 21.50 1450.62 1451.26 1451.28 1450.72 1451.32 1451.34 C
7.39 37.39 474.10 515.73 517.98 475.02 519.57 521.80 D
3.12 4.40 163.15 205.81 217.18 173.97 216.43 228.87 E
3.12 21.50 159.17 204.55 220.32 170.38 215.71 232.75 F
0.00 4.40 162.48 205.03 216.48 174.04 216.28 229.01 G
4.33 37.37 267.24 322.03 326.08 271.42 328.05 332.44 H
4.36 21.50 158.83 204.13 219.99 169.43 214.84 231.75 I
4.33 4.39 163.96 206.73 217.74 174.33 216.88 228.81 J
9.36
-0.11 1468.29 1468.42 1468.42 1468.31 1468.42 1468.44 K
0.00 0.22 1448.67 1449.39 1449.41 1448.80 1449.48 1449.48 L
3.28 34.98 181.40 233.26 241.92 189.16 242.06 251.10 M
0.00 42.77 1289.14 1294.38 1294.38 1286.64 1294.84 1294.84 N
0.00 37.48 202.87 257.81 264.27 209.55 266.07 272.62 O
0.00 42.95 1439.60 1439.67 1439.67 1438.36 1439.74 1439.76 P
7.37 42.70 1381.69 1383.57 1383.58 1381.03 1383.78 1383.78 Q
3.75 37.00 181.08 233.49 242.40 190.99 243.73 253.45 R
3.72 35.53 180.82 233.10 242.08 190.83 243.45 253.24 S
0.00 4.66 161.37 204.06 216.63 175.06 217.38 231.37 T
0.00 4.91 161.37 204.06 216.64 175.06 217.38 231.39 U
2.40 4.97 161.29 204.01 216.64 174.99 217.35 231.37 V
2.53 21.51 161.26 206.74 221.49 177.98 222.46 238.68 W
2.66 35.86 180.75 232.97 242.01 190.83 243.39 253.22 X
0.00 35.91 181.02 233.29 242.31 191.08 243.72 253.54 Y
0.00 37.02 181.09 233.40 242.40 191.12 243.77 253.58 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 114 of 123 Table C-10. HAC cooldown maximum temperatures (LSH, HTC, HD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1457.24 1457.89 1457.91 1457.28 1458.01 1458.03 B
9.19 21.50 1461.94 1462.44 1462.46 1461.97 1462.55 1462.57 C
7.39 37.39 666.07 707.38 708.15 667.83 714.51 715.10 D
3.12 4.40 235.15 283.06 287.55 242.02 291.54 295.90 E
3.12 21.50 197.53 249.55 257.54 204.84 258.53 266.40 F
0.00 4.40 230.27 278.26 282.51 237.81 287.33 291.58 G
4.33 37.37 426.27 478.99 484.32 428.34 486.48 491.38 H
4.36 21.50 199.02 252.50 257.68 205.54 260.76 265.78 I
4.33 4.39 244.42 293.23 296.96 250.72 301.32 304.95 J
9.36
-0.11 1472.76 1472.81 1472.81 1472.76 1472.81 1472.83 K
0.00 0.22 1459.11 1459.74 1459.74 1459.17 1459.85 1459.85 L
3.28 34.98 248.00 304.74 311.40 253.11 312.28 318.81 M
0.00 42.77 1372.77 1378.44 1378.44 1373.45 1379.70 1379.70 N
0.00 37.48 320.59 377.89 384.73 324.79 385.79 392.31 O
0.00 42.95 1454.49 1455.24 1455.26 1454.72 1455.48 1455.48 P
7.37 42.70 1412.71 1414.87 1414.89 1412.94 1415.37 1415.39 Q
3.75 37.00 229.55 288.91 297.82 236.80 298.44 307.13 R
3.72 35.53 229.17 288.25 297.41 236.55 297.84 306.77 S
0.00 4.66 218.82 265.84 272.91 228.56 276.78 283.82 T
0.00 4.91 218.80 265.82 272.91 228.56 276.78 283.82 U
2.40 4.97 218.53 265.55 272.66 228.25 276.48 283.53 V
2.53 21.51 200.35 251.47 262.51 213.08 265.41 275.97 W
2.66 35.86 229.05 288.00 297.27 236.52 297.66 306.70 X
0.00 35.91 229.24 288.16 297.59 236.77 297.79 307.04 Y
0.00 37.02 229.35 288.28 297.72 236.82 297.93 307.11 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 115 of 123 Table C-11. HAC cooldown maximum temperatures (LSH, HTC, HD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1457.24 1457.89 1457.91 1457.22 1457.94 1457.98 B
9.19 21.50 1461.94 1462.46 1462.48 1461.97 1462.51 1462.55 C
7.39 37.39 666.10 707.65 708.35 667.06 711.50 712.18 D
3.12 4.40 239.25 286.99 291.61 246.07 294.48 298.99 E
3.12 21.50 202.26 253.94 261.88 209.46 262.00 269.92 F
0.00 4.40 233.94 281.77 286.23 241.50 289.92 294.33 G
4.33 37.37 425.80 479.84 485.19 428.59 484.92 490.44 H
4.36 21.50 203.88 256.96 262.27 210.40 264.36 269.51 I
4.33 4.39 248.45 297.18 301.03 254.80 304.21 307.99 J
9.36
-0.11 1472.76 1472.81 1472.81 1472.76 1472.81 1472.81 K
0.00 0.22 1459.11 1459.74 1459.76 1459.17 1459.83 1459.83 L
3.28 34.98 251.82 308.26 314.94 256.73 314.56 321.28 M
0.00 42.77 1372.77 1378.53 1378.53 1372.71 1379.10 1379.10 N
0.00 37.48 320.52 378.37 385.18 324.90 384.53 391.37 O
0.00 42.95 1454.49 1455.26 1455.28 1454.52 1455.37 1455.37 P
7.37 42.70 1412.71 1414.90 1414.92 1412.69 1415.12 1415.14 Q
3.75 37.00 231.67 291.00 299.86 238.78 298.87 308.12 R
3.72 35.53 231.33 290.34 299.50 238.55 298.33 307.80 S
0.00 4.66 222.91 269.49 276.98 232.52 279.68 286.97 T
0.00 4.91 222.89 269.47 276.96 232.52 279.68 286.97 U
2.40 4.97 222.64 269.31 276.75 232.25 279.39 286.72 V
2.53 21.51 204.51 255.13 266.52 217.02 268.36 279.14 W
2.66 35.86 231.22 290.08 299.35 238.53 298.17 307.72 X
0.00 35.91 231.39 290.35 299.64 238.73 298.42 308.05 Y
0.00 37.02 231.49 290.46 299.75 238.78 298.49 308.12 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 116 of 123 Table C-12. HAC cooldown maximum temperatures (Kaolite LD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 1454.56 455.67 1455.69 1454.68 1455.73 1455.75 B
9.19 21.50 1458.61 1459.22 1459.24 1458.66 1459.26 1459.27 C
7.39 37.39 596.59 646.95 649.31 599.05 649.04 651.40 D
3.12 4.40 224.69 271.35 278.92 230.56 277.48 285.04 E
3.12 21.50 192.99 245.44 256.69 199.38 252.25 263.52 F
0.00 4.40 220.14 266.97 274.87 226.96 273.85 281.71 G
4.33 37.37 376.39 431.69 439.45 379.85 435.16 442.90 H
4.36 21.50 194.27 248.13 256.82 200.03 254.21 262.83 I
4.33 4.39 231.12 277.43 284.76 236.64 283.08 290.37 J
9.36
-0.11 1471.69 1471.77 1471.77 1471.69 1471.77 1471.78 K
0.00 0.22 1456.32 1457.08 1457.10 1456.41 1457.15 1457.15 L
3.28 34.98 237.79 294.84 303.98 242.53 299.91 309.00 M
0.00 42.77 1347.57 1358.65 1358.65 1348.32 1358.73 1358.73 N
0.00 37.48 289.51 347.41 355.35 293.56 352.17 360.09 O
0.00 42.95 1449.50 1451.57 1451.59 1449.64 1451.48 1451.50 P
7.37 42.70 1402.68 1406.84 1406.84 1403.06 1406.88 1406.88 Q
3.75 37.00 221.43 281.30 293.52 228.52 288.84 300.65 R
3.72 35.53 221.14 280.87 293.13 228.18 288.46 300.33 S
0.00 4.66 211.14 258.15 268.59 219.99 266.99 277.38 T
0.00 4.91 211.12 258.13 268.57 219.97 266.99 277.38 U
2.40 4.97 210.92 258.01 268.39 219.74 266.83 277.18 V
2.53 21.51 194.86 246.74 260.87 206.89 258.39 272.39 W
2.66 35.86 221.07 280.78 293.04 228.11 288.43 300.29 X
0.00 35.91 221.36 281.14 293.38 228.27 288.81 300.67 Y
0.00 37.02 221.45 281.28 293.50 228.36 288.91 300.74 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 117 of 123 Table C-13. HAC temperature differences from baseline (LSH, HTC, HD, 277LD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 0.65 0.67
-0.02 0.7 0.74 B
9.19 21.50 0.52 0.54 0.03 0.57 0.61 C
7.39 37.39 41.55 42.25 0.96 45.4 46.08 D
3.12 4.40 47.74 52.36 6.82 55.23 59.74 E
3.12 21.50 51.68 59.62 7.2 59.74 67.66 F
0.00 4.40 47.83 52.29 7.56 55.98 60.39 G
4.33 37.37 54.04 59.39 2.79 59.12 64.64 H
4.36 21.50 53.08 58.39 6.52 60.48 65.63 I
4.33 4.39 48.73 52.58 6.35 55.76 59.54 J
9.36
-0.11 0.05 0.05 0
0.05 0.05 K
0.00 0.22 0.63 0.65 0.06 0.72 0.72 L
3.28 34.98 56.44 63.12 4.91 62.74 69.46 M
0.00 42.77 5.76 5.76
-0.06 6.33 6.33 N
0.00 37.48 57.85 64.66 4.38 64.01 70.85 O
0.00 42.95 0.77 0.79 0.03 0.88 0.88 P
7.37 42.70 2.19 2.21
-0.02 2.41 2.43 Q
3.75 37.00 59.33 68.19 7.11 67.2 76.45 R
3.72 35.53 59.01 68.17 7.22 67 76.47 S
0.00 4.66 46.58 54.07 9.61 56.77 64.06 T
0.00 4.91 46.58 54.07 9.63 56.79 64.08 U
2.40 4.97 46.67 54.11 9.61 56.75 64.08 V
2.53 21.51 50.62 62.01 12.51 63.85 74.63 W
2.66 35.86 58.86 68.13 7.31 66.95 76.5 X
0.00 35.91 58.96 68.25 7.34 67.03 76.66 Y
0.00 37.02 58.97 68.26 7.29 67 76.63 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 118 of 123 Table C-14. HAC temperature differences from baseline (HSH, LTC, LD, 277HD)
Node ID Location Content heat load 0 W 5 W Insolation conditions a SB - no SA - no SB - yes SA - no SB - yes SA - yes SB - no SA - no SB - yes SA - no SB - yes SA - yes x
(in.)
y (in.)
Temperature (°F)
A 9.19 42.67 0.74 0.76
-0.03 0.78 0.79 B
9.19 21.50 0.68 0.7 0.1 0.72 0.73 C
7.39 37.39 43.38 45.66 0.93 46.69 48.89 D
3.12 4.40 43.25 54.41 11.3 54.05 66.26 E
3.12 21.50 45.94 61.63 11.52 57.03 74.25 F
0.00 4.40 43.2 54.43 12.15 54.68 67.12 G
4.33 37.37 55.48 59.96 4.18 61.81 66.11 H
4.36 21.50 45.87 61.69 10.93 56.67 73.62 I
4.33 4.39 43.38 54.16 10.78 53.69 65.41 J
9.36
-0.11 0.13 0.15 0.02 0.15 0.15 K
0.00 0.22 0.74 0.76 0.13 0.81 0.83 L
3.28 34.98 52.43 60.96 7.76 61.34 70.27 M
0.00 42.77 5.7 5.7
-2.52 5.97 5.97 N
0.00 37.48 55.58 62.19 6.59 64.04 70.45 O
0.00 42.95 0.16 0.16
-1.24 0.2 0.22 P
7.37 42.70 2.06 2.07
-0.66 2.18 2.2 Q
3.75 37.00 52.95 61.76 9.93 63.38 72.9 R
3.72 35.53 52.79 61.68 10.02 63.34 72.93 S
0.00 4.66 43.42 55.71 14.38 56.52 70.63 T
0.00 4.91 43.42 55.71 14.38 56.54 70.63 U
2.40 4.97 43.42 55.8 14.38 56.54 70.69 V
2.53 21.51 46.18 60.67 17.15 61.97 78.06 W
2.66 35.86 52.75 61.66 10.09 63.37 72.99 X
0.00 35.91 52.83 61.73 10.08 63.44 73.05 Y
0.00 37.02 52.86 61.75 10.04 63.43 73.02 a Insolation conditions in accordance with Sect. 6.6.1.3.
SB = solar heat flux applied before the HAC fire.
SA = solar heat flux applied after the HAC fire.
DAC M801940-0002 000 00 Page 119 of 123 Fig. C-21. Transient temperatures for HAC Cooldown with no insolation
[(LSH, HTC, HD, 277LD)-case and 5 W].
100 120 140 160 180 200 220 240 260 0
5 10 15 20 25 30 35 40 45 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
O-ring (Node W)
DAC M801940-0002 000 00 Page 120 of 123 Fig. C-22. Transient temperatures for HAC Cooldown with insolation before the fire
[(LSH, HTC, HD, 277LD)-case and 5 W].
95 145 195 245 295 0
5 10 15 20 25 30 35 40 45 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
O-ring (Node W)
DAC M801940-0002 000 00 Page 121 of 123 Fig. C-23. Transient temperatures for HAC Cooldown with insolation before and after the fire
[(LSH, HTC, HD, 277LD)-case and 5 W].
125 145 165 185 205 225 245 265 285 305 325 0
5 10 15 20 25 30 35 40 45 Temperature (°F)
Time (h) 277-4 (Node L)
CV Bottom (Node T)
CV Wall (Node V)
O-ring (Node W)
DAC M801940-0002 000 00 Page 122 of 123 Fig. C-24. Temperature gradient for HAC at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 0 W].
DAC M801940-0002 000 00 Page 123 of 123 Fig. C-25. Temperature gradient for HAC at time of maximum O-ring temperature
[(LSH, HTC, HD, 277LD)-case and 5 W].