A34600, Hydrodynamic Mass & Acceleration Drag Vol of Vermont Yankee ECCS Strainers

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Hydrodynamic Mass & Acceleration Drag Vol of Vermont Yankee ECCS Strainers
ML20236T718
Person / Time
Site: Vermont Yankee Entergy icon.png
Issue date: 03/13/1998
From: Katzke E
DUKE ENGINEERING & SERVICES
To:
Shared Package
ML20236T711 List:
References
TR-A34600-02, TR-A34600-02-R01, TR-A34600-2, TR-A34600-2-R1, NUDOCS 9807280350
Download: ML20236T718 (10)
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TECHNICAL DOCUMENT COVER SHEET PAGE 1 OF 1 I

REVISION 0 l

' . . '} DOCUMENT NUMBER: TR-A34600-02 l REV: 1 DOCUMENT TITLE: Hydrodynamic Mass and Acceleration Drag Volume of Vermont Yankee ECCS Strainers PROJECT NAME: ECCS Suction Strainer Replacement WID NUMBER- A34600 CLIENT: Vermont Yankee Nuclear Power Corporation l

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SOFTWARE USAGE l

  • Pre-Use (Retain usagefrom prior revisions, (soll applicable)

Software Name Version Hardware Platform / Description of Functions, Features, Modules. l Operating System Libraries, Modeling Techniques '

o lI Verification 1

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  • Review Software Capabilities, Review Open Error Notices, Ensure fad =tiation Test C 1+d. and Access Ced Satisfied; per DPR-3.5.

DESIGN VERIFICATION ME'IBOD: DESIGN REVIEW CRITERIA SOFTWARE REVIEW CRITERIA O!IDesign Review EE E EE ""

E D Design input Correctly Selected O 2 Software Capabilities Reviewed O Alternate Calculation D E Assumptions Adequate / Reasonable D 15 OpenErrorNoticesReviewed O d Assumptions Noted for Verification Q d SoftwareUsedCorrectly 0 Qualification Testing g a AppropriateDesipMethods o a Software Results Documented ll( D DesigninputsIncorporatedin Design O E Key Program Features Recorded M O Reasonable Outputfortheinputs O M InterfacingOrganizations Specified Preparer crifier

/ l Approver l,

Signature Y& ___

hh gy,ppph Printed Name 6VAbl KAT2.6 Itnih c . HA/6m>%> Mdee**/d.!$

Date 3l/ 3h 0 ~bb%l'I0 3h3f?0 9807280350 980723 PDR ADOCK 05000271 Page l of fO P PDR

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Report No. TR-A34600-02 7-

.,1 Revision 1 March 13,1998 1

1 Revision Control Sheet

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! Revision Description l 0 InitialIssue l I Revised to incorporate new drawing revisions and comments due to an internal

TQR. Results of this revision will not affect any other documents.

L Pages Revised: 1-10 1

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, Report No. TR-A34600-02

! Revision 1 March 13.1998 -

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1 Table of Contents l l

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l 1. 0 Purpose . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . .. .............. 3

! 2. 0 Introd u ction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....... 3 3.0 Determination of Acceleration Drag Volume and Added Mass . . . . . . . . . . . . . . . . . . . . . 4 3.1. Definitions and Design Input . . . . . . . . . . . . . . . . ....................... 4 3.2 Calculation of Acceleration Drag Volume . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . 6 l 3.2.1 K factors to account for strainer geometry . . . . . . . . . . . . . . . . . . . . . . 6 j 3.2.2 Calculation ofstrainer acceleration drag volume . . . . . . . . . . . . . . . . . . 8 l

3.3 Calculation of Hydrodynamic Added Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 i

4. 0 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 i 1

5.0 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 O

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6 Repod No. TR-A34600-02 Resision 1 March 13,1998 1.0 PURPOSE

[#)

h purpose of this report is to document the methodology used for calculating the acce!cration drag volume and associated hydrodynamic added mass for the Vermont Yankee ECCS suction strainers.

The Residual Heat Removal (RHR) and Core Spray (CS) strainer configurations are shown in Ref

[5].

2.0 INTRODUCrlON The acceleration drag volumes for the ECCS suction stramers are calculated based on using standard cluations and applying factors to account for differences from the standard case. There are separate squations for the lateral and axial directions due to the different geometry in each direction.

Therefore, two separate equations will be developed.~

?or segments with solid cylinders (no holes), the typical lateral hydrodynamic volume of 2xR2L will be used for the acceleration drag volume calculation. In the axial direction, the acceleration drag volume is 8/3R3 for a thin solid circular disk. (Ref [1]) Note that the acceleration drag volume equals enclosed volume plus the hydrodynamic mass (attached mass) divided by the density of water (p).

A kg factor is applied to the standard acceleration drag volume equaticas (axial and lateral) to more precisely model the W of flow through a structure with holes. In order to account for flow around the ends of cylinders, a k2 factor is applied to the standard equation in the lateral direction. In addition, a k 3factor will be applied to account for the axiallength of the strainers which is not provided in the standard equations given in the GE Application Guides. )

The acceleration drag volume /adid mass calculations in this report are presented in ma'.rix form for the four different Vermont Yankee strainer geometries. b matrix elements are described below:

O- Element 1: 88" RHR Strainer Element 2: 48" RHR Strainer Element 3: 84" CS Strainers "A" and "B" l

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' Report No. TR A34600-03 Revision 1 March 13,1998 1

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l I ) 3.0 DETERMINATION OF ACCELERATION DRAG VOLUME

'# Definitions and design input All data are per Ref[2] unless otherwise noted.

j 3,2 1

' See Ref [5] for the strainer configurations.  !

ksi s 10'. psi n = 3.1416 3

klps a 10 .lbf Wgap Wdsk

1. spool W n

I o

OD ID9mP

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! Ltube _l l

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j Figure 3.1 Typical ECCS Suetion Strainer (Note: May contain a spool piece on both ends depending on the geometry) pd MaterialType: Perforated Plate: Stainless SteelType 304 Stainless Steel Type 304 Core Tube:

Stiffeners: Stainless SteelType 304 Array for strainer calculations, , , 3 ,, 3 Density of water, (at 688F per Ref (6])

7 H2O := 62.4 Outer diameter of perforated core tube, OD tuk := 24.in

'Ihickness of perforated core tube, t tuk := 0.5 in

[73.5 )

L 41 .in Length of perfora*ed . core cetion tube (stacked-disk length only),

tube := k69.5 /  ;

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l Report No. TR-A34600-02 Revision 1 March 13,1998

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^

Wdise W gap t Radia1 Stiffener l discQ l

I ODgg,,

l 1 / 1 l ODgap OD tube 1

i ' Figure 3.2 Typical Longitudmal Section Along Strainer / Core Tube Axis Showing Radial Stiffeners 1

[12) l Number of circular disks attached to the core tube, N disk ;" 7 j (10/

l Width ofeach disk plate assembly, Wdisk := 2 in l Outer diameter ofinner perforated disk plate, OD gap := 26 in (4.5) l Width of gap spacing between consecutive disks, W gap := 4.5 in (5.5 /

l Outer diameter of outer perforated disk plate, OD disk := 47 in j (24)

Length of disks alone, L disk, := W disk N disk.

Ldisk " 14 *I" .

(20/

{ 49.5 )

Length of gaps alone, gap, := W gap,-(N disk, - 1) Lgap = 27 *in

\ 49.5 )

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Report No. TR-A34600-02 Revision 1 March 13,1998

) 3.2 Calculation of Hydrodynamic Acceleration Drag Volume For segments with solid cylinders and infinite axial length, the lateral acceleration drag volume is 2xR2L. And l the axial acceleration drag volume is SSR3 for a thin circular disk. Ref [1]

Factors are applied to the standard acceleration drag volume calculations to more precisely model the 1

9~=-aan of flow through a structure with holes (k ),i flow around the ends of cylinders (k 2), and axial  !

length (k3). 1 i

l l Note that the acceleration drag volume equals enclosed volume plus the hydrodynamic mass (attached mass) divided by the density of water (p).

l-3.2.1 k factors to account for strainer geometry ka' = reduction factor for holes -

h k factor i is used to adjust the strainer drag volume to account for the fact the the strainer is perforated ,

and allows water to flow through the strainer rather than around the structure. The ki factor will be l

[ ogy.M --d based on the method shown below.  !

l Tests have been performed to establish the total inertia mass of water (added mass) that will act on a ,

i strainer when vibrating in water, (Ref [4]). b theoretical total added mass for a cylinder with no holes j L is 2.0 times the displaced water volume (=2xR2L). The tested strainer, although basically cylindrical in j shape, has holes which allow water to pass through the structure reducing the effective added mass.

Tests were performed on a suction strainer comparing the same shape with and without holes.' For the

! tested strainer, the total added water mass was found to be 50% (ki = 0.50) of the value obtained for the  !

same shape without holes (i.e. C. = 1.0, therefore ki = 1.00/2.0 = 0.50). The 50% value was based on i the tested strainer which had 1/8" diameter holes and 40% open area. Since the Vermont Yankee stramers l also have 1/8" diameter holes and 40% open area, this value of 0.5 is applicable.

l ' It should be noted that there are several geometrical parameters which differ between the VY strainers and -

the tested strainers (i.e. disk OD, strainer length, core tube perforation ratio, etc. Ref [2,4]). Of primary concern is the ratio of the volume inside the the outer gap cylinder to the strainer total volume. 'Ihis ratio is j 0.62 for the prototype strainer which was used in the tests, and 0.64 for the VY strainers. These ratios are l l very close in value and thus it is expected that the stramers will behave similarly. However, in order to account for other differences between the two strainers, the kg value will be conservatively increased.  !

p Conservatively use ki = 0.625: k j := 0.625 0 ,

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!* Report No. TR-A34600-02 Revision 1 March 13,1998 j ' k2= hydrodynamic mass factor considering end effects The k2factor is used to dve.uir.e the hydrodynamic mass considering end effects. For an infmitely long

. cylinder, k2=1.0. Some of the ptrainers, however, have a fmite length which allow for flow around the ends of the structure. For strainers which span two supports or have piping components at both ends, the k2factor will be taken as 1.0 and no reduction in the added mass will be used. For a strainer which is I

supported at one end and cantilevered at the other, a 2k reduction factor may be calculated using the IJD ratio as shown in Ref[3]. At Vermont Yankee, all of the strainers are supported at both ends or have components at both ends with the exception of the small RHR 48" cantilevered stramers For consistency and conservatism, no added mass reduction will be taken on these strainers and2k will be taken as 1.0 for all strainers k 2 := 1.0 Conservatively for all strrbwrs k3= factor to account for axialiength The k3factor is used to to account for the length of the strainer parallel to the axial flow. Ref[1] provides a formula to calculate hydrodynamic mass for flow perpendicular to a thin circular disc. 'Ihe strainer is l not thin, therefore, the additional hydrodynamic mass associated with the length parallel to flow needs to be determined A formula for hydrodynamic mass for flow parallel to the axis of a cylinder is not available, l therefore, the fannulas for flow parallel to the axis of a square bar are used to determme an approximation.

I For a thin rectangle, the hydrodynamic mass is given in Ref[1] as:

M = p x/4 a a2 b ( where a = 0.5790 for a = b) therefore, M = 0.454 p a3 for a thin square plate 1

For a square bar with axial flow, Reference 4 also gives the formula for hydrodynamic mass as (a%

f M=paa 2b l For a range of b = 0.8a to b = 1.6a, the mass varies from M = 0.68 to 0.72 a2 p Since the hydrodynamic mass equation for a thin circular disk does not account for the strainer length, the ratio of the hydrodynamic mass of a thin square plate to that of a square bar (both shown above) will provide the additional factor due to the strainer length. Therefore, for a typical strainer IJD ratio, k3 can be conservatively approximated as:

k3= 0.72 / 0.454 l

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Report No. TR A34600-02

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() L tube [1.564 )

Rectangular Solid

  • -ra h = 0.872 OD disk (All ratios between 0.8 and 1.6) k 1.479 /

i 0.72 .-

k k 3 = 1.586 h k factor 3

accounts for the strainer length.

3 := 0.454 3.2.2 Calculation of strainer acceleration drag volumes h acceleration drag volume in the axial (x) durection is calculated as the drag volume for a thin circular plate plus the enclosed volume. & drag volume for a thin circular plate is SSR3 (per Ref[1]) times the k gand k factors 3

to account for the holes and the length of the strainer.

3 /65.973)

VOLx , := k1k 3 -

+ k j -(OD diskf'(Ldisk, + lgap,} VOLx= 45.579 ft' (63.463)

& acceleration drag volume in the lateral (y or z) direction consists of the standard 2xR2L terms, but the kg and k2 factors also apply. h k factor i is applied to account for the holes and the k2 factor is applied to account for the end effects. Since the 2k factor was a/~=s.ed to be 1.0 for the Vermont Yankee l ,  : strainers, the effective C,is 1.25.

1 IOD disk 2

/OD i 2 /49.132) j 3

IL gaps VOL z= 27.94 fl VOL7*:= ?.3k 2 k '*

I ' 'l disks + ! 2

( 2 / ( / -

l (44.112) 3.3 Calculation of Contained and Hydrodynamic. Mass

- h contained hydrodynamic mass is calculated simply by multiplying the acceleration drag volume by the density of water, j

!- f4117)

M add.x = 2844 lbf M add.g " 7 H20 VOL (3960)

/3066)

M add.z = 1743 *lbf M add.4 " 7 H20 VOL z, (2753/

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E-Report No. TR-A34600-02 Revision 1 March 13,1998 i

4.0 CONCLUSION

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[ . From the calculations sh9wn in section 3.0, the acceleration drag volume and added mass were l computed using three k factors. It was determmed using the ik and k2 factors that the effective C. is

1.25. In addition, the axial drag volume is determmed using the kg and 3k factors. The final l acceleration drag volumes and added masses are shown for all Vermont Yankee strainers below.

i /65.973)

Axial acceleration drag volume, VOLx= 45.579 ft' (63.463) l49.132)

Lateral acceleration drag volume, VOLz= 27.94 ft' ,

k 44.112) l I

f4117}

M add.x = 2844 *lbf Axial added mass, k3960)

/3066)

N, M add.z = 1743 lbf

< Lateral added mass, (2753) i 1

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5.0 REFERENCES

[1] Blevins, Robert, Fonnulas for Natural Frequency and Mode Shapes, Van Nostrand Reinhold C)mpany, Cincinnati,1979.

(2] Perfonnance Contracting Im4pu,.ial(PCI), Vermont Yankee ECCS Sure Flow Strainer Drawings, 2a. VY-ECCS-8015-1.00, "Sure Flow Strainer Project General Notes", Rev. 4.

l 2b. VY-ECCS-8015-1100, "Sure Flow Strainer - 88" RHR Strainer Module "A" Physical Design Information", Rev. 3.

2c. VY-ECCS-8015-1200, "Sure Flow Strainer - 48" RHR Suainer Module "B" Physical Design Information", Rev. 4.

2d. VY-ECCS-8015-1300, "Sure Flow Strainer - Core Spray Strainer Module "A" Physical Design l Information", Rev. 3.

2e. VY-ECCS-8015-1400, "Sure Flow Strainer - Core Spray Strainer Module "B" Physical Design )

Information", Rev. 3.

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[3] " Rules for Building and Classing Mobile Offshore Drilling Units", American Bureau of Shipping,1980. )

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l' (4] DEAS Reports, ECCS Suction Strainer Projects:

4a. TR-ECCS-GEN-01, Hydrodynamic Inertial Mass Testing of ECCS Suction Strainers, File No.

A16800.F10-001,7/2S7, Rev. 2.

4b. TR-ECCS -GEN-05, " Supplement I to Hydrodynamic Inertial Mass Testmg of ECCS Suction )

Strainers - Free Vibration Data Analysis", File No. A16800.F10-005,7/14/97, Rev.1.

~,

[5] DE&S General Assembly Drawings, " Vermont Yankee Generating Station".

Sa. A34600-STR-001, "ECCS Strainer Layout", Rev. O.

l Sb, A34600-RHR-001, " Suction Strainer For Torus Penetration X 224A", Sht.1, Rev 2, Sht. 2, Rev 1.

Sc. A34600-RHR-002, " Suction Strainer For Torus Penetration X-224B", Sht.1, Rev 2, Sht. 2, Rev 1.

5d. A34600-CS-001, " Suction Strainer For Torus Penetration X-226A", Sht.1, Rev 2, Sht. 2, Rev 1.

Sc. A34600-CS-002, " Suction Strainer For Torus Penetration X-226B", Sht.1, Rev 2, Sht. 2, Rev 1.

[6] Marks' Handbook for Mechanical Fagia-s, by Baumeister, Avallone, and Baumeister, 8th Edition, McGraw Hill.

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