ML21342A192
| ML21342A192 | |
| Person / Time | |
|---|---|
| Site: | National Bureau of Standards Reactor |
| Issue date: | 12/03/2021 |
| From: | US Dept of Commerce, National Institute of Standards & Technology (NIST) |
| To: | Document Control Desk, Office of Nuclear Reactor Regulation |
| Shared Package | |
| ML21340A006 | List: |
| References | |
| Download: ML21342A192 (19) | |
Text
Per Bob Williams:
Aluminum density 2713 kg/m3 The density of the fuel meat is 3.
Fuel meat density 3612 m/s The average density of fuel plate Fuel plate avg density 2986 kg/m3 Aluminum thermal conductivity 235 W/m-K Al2O3 thermal conductivity 12 W/m-K https://www.azom.com/propert U3O8 thermal conductivity 10 W/m-K https://sites.wustl.edu/weisense Average fuel plate thermal cond. 190 W/m-K Fuel plate gap 2.95 mm Fuel plate width 68.00 mm Channel area 0.000200 m2 Number of gaps 18 Total open area 0.003606 m2 D D2O flow rate 6400 gal/min 0.40 m3/sec Number of fuel elements 24 Flow through each element 0.016838 m3/sec Flow through each gap 0.00094 m3/sec velocity thru gap 4.669 m/s Equivalent diameter 0.00565 m th
.612 g/cc; it is about 80% Al by volume. The density of Al-6061 is 2.713 g/cc.
e material is 2.986 g/cc.
Typical Al2O3 thickness 1-10 nm - 1e-09 to 10e-09 m ee/items/thermal-conductivity-of-uo2-and-u3o8-jnm/#:~:text=The%20thermal%20conductivity%20of%20unirr
radiated,with%20temperature%20like%201%2FT.
Fluid D2O Disk of Fuel Meat D2O bulk temp. 311 K disc th. 2.95 mm Channel equiv. dia. 0.0056 mm Pressure 1 bara Aluminum specific heat capacity 0.903 J/g-K Aluminum density 2713 kg/m3 Fuel meat density 3612 kg/m3 Al2O3 thermal conductivity 12 W/m-K Watt density 1368000 W/m2 Fuel Density 3612 kg/m3 Heat Source 5.40E+09 W/m3 Fuel meat conductivity 188 W/m-K Surface D A(cyl) A(disc) A(disc) A(cyl) Vol(cyl) mm mm2 mm2 m2 m2 mm3 0.5 4.63 0.20 1.96E-07 0.0000046 0.58 1 9.27 0.79 7.85E-07 0.0000093 2.32 1.5 13.90 1.77 1.77E-06 0.0000139 5.21 2 18.54 3.14 3.14E-06 0.0000185 9.27 2.5 23.17 4.91 4.91E-06 0.0000232 14.48 3 27.80 7.07 7.07E-06 0.0000278 20.85 3.5 32.44 9.62 9.62E-06 0.0000324 28.38 4 37.07 12.57 1.26E-05 0.0000371 37.07 4.5 41.70 15.90 1.59E-05 0.0000417 46.92 5 46.34 19.63 1.96E-05 0.0000463 57.92
Mass(cyl) Temperature Density Viscosity Cp Therm.Cond. V Re Pr g K kg/m3 kg/m-s J/kg-K W/m-K m/s 0.00209 311.0 1100.78 0.000820 4233.8 0.6083 4.669 3135 5.70 0.00837 311.0 1100.78 0.000820 4233.8 0.6083 4.669 6270 5.70 0.01883 311.0 1100.78 0.000820 4233.8 0.6083 4.669 9405 5.70 0.03347 311.0 1100.78 0.000820 4233.8 0.6083 4.669 12541 5.70 0.05230 311.0 1100.78 0.000820 4233.8 0.6083 4.669 15676 5.70 0.07532 311.0 1100.78 0.000820 4233.8 0.6083 4.669 18811 5.70 0.10252 311.0 1100.78 0.000820 4233.8 0.6083 4.669 21946 5.70 0.13390 311.0 1100.78 0.000820 4233.8 0.6083 4.669 25081 5.70 0.16947 311.0 1100.78 0.000820 4233.8 0.6083 4.669 28216 5.70 0.20922 311.0 1100.78 0.000820 4233.8 0.6083 4.669 31351 5.70
fuel fuel fuel disk film disk surface Nu (cyl) h Q Delta T Delta T T-max T W/m2-K W K K K K 50.85 61863.7 3.13 0.45 10.91 322.36 321.91 73.54 44734.5 12.51 1.80 30.18 342.97 341.18 91.75 37208.3 28.15 4.04 54.42 369.46 365.42 107.67 32747.9 50.05 7.18 82.45 400.63 393.45 Two Phase!?
122.13 29718.4 78.20 11.22 113.57 435.79 424.57 Nu correlation 135.58 27491.4 112.60 16.16 147.32 474.48 458.32 not valid!
148.25 25766.9 153.26 21.99 183.37 516.37 494.37 160.32 24381.5 200.18 28.72 221.48 561.20 532.48 171.90 23237.5 253.36 36.35 261.43 608.78 572.43 183.06 22272.5 312.78 44.88 303.06 658.94 614.06
Fluid D2O Bead of Fuel Mea D2O bulk temp. 311 K disc th. 2.95 mm Channel equiv. dia. 0.0056 mm Pressure 1 bara Aluminum specific heat capacity 0.903 J/g-K Aluminum density 2713 kg/m3 Fuel meat density 3612 kg/m3 Al2O3 thermal conductivity 12 W/m-K Watt density 1368000 W/m2 Fuel density 3612 kg/m3 Heat Source 5.40E+09 W/m3 Viscosity (bulk) 8.20E-04 kg/m-s Viscosity (surface) 3.29E-04 kg/m-s Thermal conductivity 1.88E+02 W/m-K Surface D A Area Vol Vol mm mm2 m2 mm3 m3 0.5 0.785398 7.85398E-07 0.065448 6.54482E-11 1 3.141593 3.14159E-06 0.523586 5.23586E-10 1.5 7.068583 7.06858E-06 1.767102 1.7671E-09 2 12.56637 1.25664E-05 4.188685 4.18869E-09 2.5 19.63495 1.9635E-05 8.181026 8.18103E-09 3 28.27433 2.82743E-05 14.13681 1.41368E-08 3.5 38.48451 3.84845E-05 22.44874 2.24487E-08 4 50.26548 5.02655E-05 33.50948 3.35095E-08 4.5 63.61725 6.36173E-05 47.71175 4.77117E-08 5 78.53982 7.85398E-05 65.44821 6.54482E-08
t Mass Temperature Density Viscosity Cp Therm.Cond. V Re g K kg/m3 kg/m-s J/kg-K W/m-K m/s 0.000236399 311 1100.78 0.000820 4233.8 0.6083 4.669 3135 0.001891191 311 1100.78 0.000820 4233.8 0.6083 4.669 6270 0.006382771 311 1100.78 0.000820 4233.8 0.6083 4.669 9405 0.015129532 311 1100.78 0.000820 4233.8 0.6083 4.669 12541 0.029549867 311 1100.78 0.000820 4233.8 0.6083 4.669 15676 0.05106217 311 1100.78 0.000820 4233.8 0.6083 4.669 18811 0.081084835 311 1100.78 0.000820 4233.8 0.6083 4.669 21946 0.121036256 311 1100.78 0.000820 4233.8 0.6083 4.669 25081 0.172334825 311 1100.78 0.000820 4233.8 0.6083 4.669 28216 0.236398937 311 1100.78 0.000820 4233.8 0.6083 4.669 31351
fuel fuel film fuel surface Pr Nu (cyl) h Q Delta T Delta T T-max T W/m2-K W K K K K 5.70 90.84 110526.3 3.53E-01 0.30 4.07 315.37 315.07 5.70 133.26 81062.98 2.827363 1.20 11.10 323.30 322.10 5.70 167.16 67791.11 9.542349 2.69 19.91 333.61 330.91 5.70 196.53 59777.12 22.6189 4.79 30.11 345.90 341.11 5.70 222.95 54250.32 44.17754 7.48 41.47 359.95 352.47 5.70 247.24 50134.03 76.33879 10.77 53.85 375.63 364.85 5.70 269.89 46909.85 121.2232 14.66 67.15 392.81 378.15 5.70 291.24 44292.89 180.9512 19.15 81.28 411.42 392.28 5.70 311.51 42111.67 257.6434 24.24 96.17 431.41 407.17 5.70 330.87 40255.93 353.4203 29.92 111.78 452.70 422.78
Two phase?!
Nu correlation not valid
Fluid D2O D2O bulk temp. 311 K disc th. 2.95 mm Channel equiv. d 0.0056 For laminar flow Pressure 1 bara over a cylinder Aluminum specific heat capacity 0.903 J/g-K Aluminum density 2713 kg/m3 Fuel meat density 3612 kg/m3 Al2O3 thermal conductivity 12 W/m-K Maximum heat flux 1.368E+06 W/m2 Equivalent Q/vol 9.275E+08 W/m3 Al conductivity 164 W/m-K Disc obstruction heat transfer D A(cyl) A(disc) A(disc) A(cyl) mm mm2 mm2 m2 m2 3 27.80 7.07 7.07E-06 0.0000278 5 44.30 19.63 1.96E-05 0.0000443 7 62.02 38.48 3.85E-05 0.0000620 9 79.73 63.62 6.36E-05 0.0000797 11 97.45 95.03 9.50E-05 0.0000975 D 13 115.17 132.73 1.33E-04 0.0001152 13.5 119.60 143.14 1.43E-04 0.0001196 14 124.03 153.94 1.54E-04 0.0001240 14.5 128.46 165.13 1.65E-04 0.0001285 15 132.89 176.71 1.77E-04 0.0001329 15.5 137.32 188.69 1.89E-04 0.0001373 16 141.75 201.06 2.01E-04 0.0001417 16.5 146.18 213.82 2.14E-04 0.0001462 th
https://www.sfu.ca/~mbahrami/ENSC%20388/Notes/Forced%20Convection.pdf Vol(cyl) Mass(cyl) Temperature Density Viscosity Cp Therm.Cond.
m3 g K kg/m3 kg/m-s J/kg-K W/m-K 2.085E-08 0.05657 311.0 1100.78 0.000820 4233.8 0.6083 5.792E-08 0.15715 312.6 1100.20 0.000794 4232.2 0.6098 1.135E-07 0.30801 316.2 1098.76 0.000739 4228.3 0.6129 1.877E-07 0.50915 322.3 1096.10 0.000661 4221.1 0.6176 2.803E-07 0.76058 331.0 1091.74 0.000571 4209.8 0.6233 3.916E-07 1.06230 342.4 1085.15 0.000481 4194.6 0.6291 4.223E-07 1.14559 356.6 1075.76 0.000398 4176.9 0.6338 4.541E-07 1.23202 366.0 1068.85 0.000356 4167.0 0.6354 4.871E-07 1.32159 373.2 1063.29 0.000329 4161.0 0.6360 5.213E-07 1.41431 379.3 0.64 0.000013 1892.0 0.0253 5.566E-07 1.51017 385.1 0.63 0.000013 1883.2 0.0258 5.931E-07 1.60917 390.6 0.62 0.000013 1876.3 0.0262 6.308E-07 1.71131 396.2 0.62 0.000014 1870.9 0.0267
h=Nu*k/D from Qin Al disk film V Re Pr Nu (cyl) h Q Delta T Delta T m/s W/m2-K J/s K K 4.669 35415 5.70 197.03 39953.0 19.34 3.18 17.41 4.669 36557 5.51 199.27 24301.9 53.72 8.84 49.90 4.669 39196 5.10 204.28 17886.6 105.29 17.32 94.92 4.669 43712 4.52 212.42 14577.1 174.06 28.63 149.75 4.669 50402 3.86 223.60 12670.8 260.01 42.77 210.57 4.669 59519 3.21 237.54 11495.4 363.16 59.73 274.30 4.669 71252 2.62 253.84 11916.8 391.63 64.42 274.78 4.669 79227 2.33 264.13 11988.3 421.17 69.28 283.25 4.669 85327 2.15 271.66 11915.2 451.80 74.31 295.17 4.669 1322 0.96 20.86 35.2 483.49 79.53 103300.92 4.669 1279 0.95 20.48 34.1 516.26 84.92 110344.44 4.669 1239 0.95 20.13 33.0 550.11 90.48 117566.86 4.669 1201 0.95 19.79 32.0 585.02 96.23 124968.04
disk surface disk T Tmax T(Al) Qout Qnet T'(Al)
K K K J/s J/s K 328.41 331.59 314.18 3.534 15.806 314.2 360.90 369.74 319.84 9.512 44.209 319.8 405.92 423.24 328.32 19.211 86.083 328.3 460.75 489.38 339.63 33.276 140.781 339.7 521.57 564.34 353.77 52.810 207.201 353.8 585.30 645.03 370.73 79.083 284.073 370.8 585.78 650.20 375.42 91.810 299.818 375.5 594.25 663.53 380.28 103.008 318.167 380.4 606.17 680.48 385.31 113.746 338.050 385.4 103611.92 103691.45 390.53 0.372 483.119 390.8 110655.44 110740.36 395.92 0.397 515.864 396.2 117877.86 117968.34 401.48 0.423 549.682 401.8 125279.04 125375.27 407.23 0.450 584.574 407.6
Fluid D2O D2O bulk temp. 311 K disc th. 2.82 mm Channel equiv. dia. 0.0056 Pressure 1 bara Aluminum specific heat capacity 0.903 J/g-K Aluminum density 2713 kg/m3 Fuel meat density 3612 kg/m3 Al2O3 thermal conductivity 12 W/m-K Watt density 1368000 W/m2 Therm.
Temperature Density Viscosity Flat plate heat Pressure (bar) Phase Cp (J/kg*K) Cond.
(K) (kg/m3) (kg/m-s) transfer (W/m*K) 311 1 liquid 1100.78 0.000820 4233.8 0.6083 Disc obstruction heat transfer D A(cyl) A(disc) A(disc) A(cyl) Vol(cyl) mm mm2 mm2 m2 m2 mm3 3 26.58 7.07 7.07E-06 0.0000266 19.93 5 44.30 19.63 1.96E-05 0.0000443 55.37 7 62.02 38.48 3.85E-05 0.0000620 108.53 9 79.73 63.62 6.36E-05 0.0000797 179.40 11 97.45 95.03 9.50E-05 0.0000975 267.99 D 13 115.17 132.73 1.33E-04 0.0001152 374.31 13.5 119.60 143.14 1.43E-04 0.0001196 403.65 14 124.03 153.94 1.54E-04 0.0001240 434.11 14.5 128.46 165.13 1.65E-04 0.0001285 465.67 15 132.89 176.71 1.77E-04 0.0001329 498.34 15.5 137.32 188.69 1.89E-04 0.0001373 532.11 16 141.75 201.06 2.01E-04 0.0001417 566.99 16.5 146.18 213.82 2.14E-04 0.0001462 602.99 th For laminar flow (
https://www.sfu.ca/~mbahrami/ENSC%20388/Notes/Forced%20Convection h=Nu*k/Dh A(plate) h(plate) v [m/s] Dh [m] L(plate) [m] Re Pr Nu(plate)
[m2] [W/m2-K]
4.669 0.0056 0.5588 0.0686 35415 5.70 152.32 16406.1 Mass(cyl) Temperature Density Viscosity Cp Therm.Cond. V Re g K kg/m3 kg/m-s J/kg-K W/m-K m/s 0.05408 311.0 1100.78 0.000820 4233.8 0.6083 4.669 35415 0.15022 311.0 1100.78 0.000820 4233.8 0.6083 4.669 35415 0.29443 311.0 1100.78 0.000820 4233.8 0.6083 4.669 35415 0.48671 311.0 1100.78 0.000820 4233.8 0.6083 4.669 35415 0.72707 311.0 1100.78 0.000820 4233.8 0.6083 4.669 35415 1.01549 311.0 1100.78 0.000820 4233.8 0.6083 4.669 35415 1.09511 311.0 1100.78 0.000820 4233.8 0.6083 4.669 35415 1.17773 311.0 1100.78 0.000820 4233.8 0.6083 4.669 35415 1.26335 509.3 0.47 0.000018 1887.0 0.0375 4.669 690 1.35198 904.1 0.27 0.000035 2196.2 0.0889 4.669 203 1.44362 1297.6 e: temperatu #VALUE! #VALUE! #VALUE! 4.669 #VALUE!
1.53826 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! 4.669 #VALUE!
1.63590 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! 4.669 #VALUE!
(flat plate)
(cylinder)
Watt density W delta T [K]
[W/m2]
1368000 93783 83 h=Nu*k/D Pr Nu (cyl) h Qin Delta T T(Al) Qout Qnet T'(Al)
W/m2-K J/s K K J/s J/s K 5.70 197.03 39952.8 19.34 396.03 707.03 420.530 -401.191 311.0 5.70 197.03 23971.7 53.72 396.03 707.03 420.530 -366.809 311.0 5.70 197.03 17122.6 105.29 396.03 707.03 420.530 -315.237 311.0 5.70 197.03 13317.6 174.06 396.03 707.03 420.530 -246.474 311.0 5.70 197.03 10896.2 260.01 396.03 707.03 420.530 -160.520 311.0 5.70 197.03 9219.9 363.16 396.03 707.03 420.530 -57.375 311.0 5.70 197.03 8878.4 391.63 396.03 707.03 420.530 -28.903 311.0 5.70 197.03 8561.3 421.17 396.03 707.03 420.530 0.644 707.6 0.91 14.82 38.3 451.80 396.03 905.35 2.923 448.872 1298.8 0.86 7.96 47.1 483.49 396.03 1300.10 6.197 477.294 1691.1
- VALUE! #VALUE! #VALUE! 516.26 396.03 1693.59 #VALUE! #VALUE! #VALUE!
- VALUE! #VALUE! #VALUE! 550.11 396.03 #VALUE! #VALUE! #VALUE! #VALUE!
- VALUE! #VALUE! #VALUE! 585.02 396.03 #VALUE! #VALUE! #VALUE! #VALUE!