ML20148G645

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Rev 1 to Minimum Pipe Submergence to Prevent Vortexing Calculation
ML20148G645
Person / Time
Site: Waterford Entergy icon.png
Issue date: 05/07/1997
From: Gilmore R
ENTERGY OPERATIONS, INC.
To:
Shared Package
ML20148G625 List:
References
EC-M95-012, EC-M95-012-R01, EC-M95-12, EC-M95-12-R1, NUDOCS 9706060074
Download: ML20148G645 (16)
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G W3F1-97-0111 4

SUPPLEMENT TO NPF-38-179

' ATTACHMENT B CSP PORTION OF-CALCULATION EC-M95-012, Rev.1 CN#1 4

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' 9706060074 970603 PDR ADOCK 05000382 p PDR.

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CALCULATION CHANGE COVER SHEET

-- ENTERGY B13.18 (Original R-Type or R-Type from Attachment Vil)

Calculation: EC-M95-012 1 1 Number Revision Change Number O Markup Calculation Change @ Finalized Format Calculation Change initiating Document: No.: N/A Rev.:

Calculation Performed Under:

@ Waterford-3 Procedures O Supplier Approved Procedures Computer Software Used:

Code Version Disk Description of Change:

Revise page 1 to correct a typographical error. Stated minumum CSP levelis revised from 1.48% to 1.53%

(Use additional pages as needed)

This Calculation Change is considered NOT to be installed until the engineer initials and dates below. If no installation / implementation is required then initial and date to indicate an as-built condition. This Calculation Change may be canceled by initiating and dating below:

Initial Date Completely Installed / implemented: _ R$4 f/6 /4 7-Partially installed / Implemented:

Change Canceled:

(list loads partially installed below)

(use additional pages as needed) Lf-/cp I have reviewed this Calculation Change in conjunction with any changes previously installed /

implemented. The impact of these changes on the subject calculation do not result in exceeding its design basis / design margin.

6. 5lY4T G f 1 Prepared By/Date Veriffd/Rev!c'?/cd 89/date Approved By/Date NOECP-011, REV. 3 Form No. 5, Rev.1

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ENGINEERING CALCULATION COVER SHEET

_ ENTERGY

- l 813.18 (Original R-Type or R-Type from Attachment Vil)

REV. NO. 1 CALCULATION NO. EC-M95-012 TITLE Minimum Pipe Submergence to Prevent Vortexing Calculation SUBJECT Vortexing in storage pools and vessels due to pump operation AFFECTED SYSTEMS CSP. EDG, CVC, Si THIS CALCULATION SUPERSEDES N/A N/A COMPUTER SOFTWARE USED DISK l CODE VERSION CALCULATION CLASSIFICATION:

l O Non-Quality Related @ Safety Related C Quality Related: Important to Safety CALCULATION PERFORMED UNDER: I

@ Waterford 3 Procedures O Supplier Approved Quality Procedures CALCULATION STATUS: C

//', f gg Es--Final - List Pending Calculation (s) and/or Calculation Changes incorporated

,2 4,g X Fs>4Ai WAF 11 26 96 O Void O Superseded - New Calc. No.

@ Pending (Not Currently Installed) initial Date O Partially Installed initial Date O Completely Installed initial Date O Canceled Preparet By: M -[ENGINEER -

Date: _ fo/z,/ec Verified /RevieweciBy: MM ,

Date: ///r/ft O Date: / '//9 /,

Approved By: ,

- SUPERVISOR NOECP-011 Rev. 2 larnLMe5Mme 1)

l Waterford 3 Design Engineering Calc. No. EC-M95-092 General Computational Sheet TABLE OF CONTENTS 1.0 Purpose .......... ... .............................................................................1

2. 0 C o n cl u s i o n . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

3 . 0 R e fe re n ce s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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4. 0 I n put C rite ria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - ~ . . . - - . . - ~ . . - . . - - - - . . . . . . . 3
5. 0 As s umptio n s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6. 0 M ethod of An al ysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . .. . . . . . . . . . . . . . . . . . . . .

6.1 D efinition of Variable s . . . . . . . . . . . . .. .. . . . . . . . . . . . ... . . . . .. . . . . . . . . . . . . . . . . . . . . . . .

6.2 Listing of Equations for Cases Without Rotation......................... ....... 5 6.3 Methodology for Asymmetric Flow in the RWSP with Rotation .......... 5 7.0 C alculation Computation ... . . . . . . . . . . . . . .. . .. .. . . . . .. ... ..... ........ ... . ... . . . . . . . . .. . . . . . . . . . . . . . . 8 7.1 Condensate Storage Pool (CSP)...................... . .... ..... ................. ... 8 7.2 Boric Acid Makeup (BAM) Tanks........ ................... . ....................10 7.3 Emergency Diesel Generator (EDG) Oil Storage Tanks ... .... . . . ..12 7.4 Emergency Diesel Generator (EDG) Oil Feed Tanks......... .. ...... . ..13 ,

l 7.5 Refueling Water Storage Pool (RWSP)...... .... .... ............ . ... . .......15 7.6 Volume C ontrol Tank (VCT) . . .. .. . ... .. ...... ..... .. . . ..... .. ... . . . .. .. . . ... . .. . .... .. 19 ;

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Waterford 3 Design Engineering Calc. No. EC-M96 012 General Computational Sheet l RECORD OF REVISION l REVISION '

CHANGE DESCRIPTION OF EFFECTIVE PAGES NUMBER REVISION / CHANGE DATE AFFECTED 0 Initial Release 12-1-95 1-6 1 Revised calculation using a method 12-15-96 1-20 provided in EC-M-96-014 Rev. O and included the BAM Tanks, EDG Oil Storage and Feed Tanks, RWSP and ,

VCT. Since the calculation was l revised in its entirety, no revision bars are used.  !

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Waterf:rd 3 Design Engineering C:Ic. No. EC-M95-012 General Computational Sheet 1.0 PURPOSE The purpose of this calculation is to determine the minimum liquid level in the Condensate Storage Pool, Boric Acid Makeup Tanks, Emergency Diesel Generator Storage and Feed Tanks, Refueling Water Storage Pool and Volume l Control Tank to prevent air entrainment, due to vortexing during pump operation,  ;

into the suction piping of the associated pumps. l This calculation can be used as input for determining the correct low level alarms l for each of these storage pools or tanks.

1 2.0 CONCT.US10N j The minimum liquid level and corresponding liquid level percentage in the evaluated storage pools and tanks to prevent vortexing into the pump suction is  ;

provided in the following table. All liquid levels are referenced from the 0%

j indicator level (5).

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' Storage Tank Minimum Minimum l Uqpid Level Uguld Level %

Condensate Storage Pool 0.32 ft 1.53 %

Boric Acid Make-up Tanks -1.49 ft <0%

EDG Storage Tank 0.11 ft 0.24 %

EDG Feed Tank -0.91 ft <0%

Refueling Water Storage Pool 1.14 ft 5.70%

Volume Control Tank -1.20 ft <0%

The minimum required level in the Condensate Storage Pool to prevent vortexing into the Emergency Feedwater Pumps is 1.53%. The remaining water volume, below the 1.53% level, should not be considered for uninterrupted flow into the CHI steam generators.

The Emergency Diesel Oil Storage Tank is susceptible to vortexing. However, the centerline of the pump is located 1.25 ft below the 0% tank level which will allow the Diesel Oil Transfer Pump to maintain its prime. Since the pump discharges to the Diesel Oil Feed Tanks and not directly to the diesel engine, the air that may be entrained in the fuel will be vented from the fuel in the feed tank and not affect the operation of the Emergency Diesel Generator.

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i Waterford 3 Design Engineering Calc. No. EC-M95-012 1 General Cornputational Sheet l i

The Refueling Water Storage Pool was evaluated for both symmetric flow (both i trains operating) and asymmetric flow (only one train operating) at pump runout conditions for the Containment Spray, HPSI and LPSI pumps. The analysis.

revealed that-even at- the highest flowrates (pump runout) vortexing under 4 asymmetric flow conditions will not occur above the top _ of the suction strainers.

Therefore, any flow rotation induced by asymmetric flow in the RWSP will not cause vortexing to occur at a level higher than the level for symmetric flow.

Operation of the BAM Tanks,- the EDG Feed Tank and Volume Control Tank is j unaffected by vortexing because the minimum liquid level is below the 0% level of each of the tanks.

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3.0 REFERENCES

i 1. Waterford 3 SES Condition Report 95-0657 1 2. - Goulds Pump Manual Third Edition 1.

3. Crane Technical Paper 410, Flow of Fluids Through Valves, Fittings & Pipe
4. Waterford 3 Manual 459000184, CEN-152 Rev. 3, Combustion Engineering Emergency Procedure Guidelines Figure 8-3 5.- Waterford 3 Engineering Calc. EC-M84-001 Rev. 6, Tank Volume vs. Level i
6. Waterford 3 Engineering Calc. EC-M96-014 Rev. O, Minimum Height for Fluid Levelin RWSP Without Vortexing 1
7. Waterford 3 DBD-003 Rev. O, Emergency Feedwater System j 2

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8. Waterford 3 SES Drawing 1564-G-905 Rev. 5 i
9. Waterford 3 SES Drawing 1564-G-906 Rev. 3
10. Waterford 3 SES Drawing 1564-G-907 Rev. 9
11. Waterford 3 SES Flow Diagram 1564-G-160 Sh. 6 of 6 Rev. 6
12. Waterford 3 SES Isometric Diagram 4305-6636 Rev. 9
13. Waterford 3 Technical Manual 457000313 Rev.11
14. Waterford 3 Technical Manual 457000149 Rev.16 2

l Calc. No. EC-M95-012 Waterford 3 Design Engineering General Computational Sheet

15. Waterford 3 SES Station Information Management System i
16. Waterford 3 SES Drawing 1564-427 Rev. 5, Boric Acid Makeup Tank
17. Waterford 3 SES Drawing 1564-280 Rev. 4, Volume Control Tank 18, Ebasco Spec. 1564.725A Rev. 6, Misc. Field Erected Water Storage Tanks 4
19. Waterford 3 SES isometric Drawing 4305-9525 Rev. 2 1
20. Waterford 3 SES 1564-2525 Rev. 2, Diesel Oil Storage Tank .

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21. Waterford 3 SES 1564-4559 Rev. 3, Diesel Oil Feed Tank
22. Waterford 3 SES Letter W3J83-0324 dated August 9,1983
23. Waterford 3 Letter PSA-89-255, Decay Heat Power Curves 1979 and 1973 ANS Standard ,

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24. Waterford 3 Engineering Calc. EC-S96-005 Rev. O, Cycle 10 Power Uprate Safety Analysis Groundrules l
25. ASME Steam Tables Fifth Edition i

l 4.0 INPUT CRITERIA The results of calculation EC-S89-003 [4] are interpreted to determine the '

required f'owrate into the steam generators at the time the Condensate Storage Pool is nearing a low level. The interpreted required flowrate is the rate at which water is pumped into the steam generator which results in an increasing steam generator level. The pump capabilities are provided in the Design Basis Document [7).

Vessel dimensions are located on the referenced tank drawings and engineering calculations. The source for these inputs is referenced within the calculation.

Waterford 3 engineering calculation, EC-M96-014 Minimum Height for Fluid Level in RWSP Without Vortexing [6), provides the methodology, initially developed by Combustion Engineering, for determining the height at which vortex formation begins for flow with no rotation. Since there are no disturbances (i.e. structural columns) in the flow stream of any of these vessels, except to the RWSP, rotation does not have to be considered when determining vortex formation.

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' Waterford 3 Design Engineering Calc. No. EC-M95-012 Geneini Computational Sheet 5.0 ASSUMPTIONS A. The shape of the vessel does not affect the required minimum pipe submergence.

l B. The flow is irrotational: viscous effects and other sources of relative rotation 1 are absent.

C. Flow is quasi-steady - flow is established and the free surface is maintained at a constant depth.

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6.0 METHOD OF ANALYSIS  :

This analysis uses standard engineering conversions to determine the fluid velocity into suction piping. The predictive model used in engineering calculation EC-M96-014 [6] uses a sink-flow model for cases of no rotation to determine the critical height at which the flow above the drain extends into the drain almost i instantaneously. .

4 6.1 Definition of Variables v = Specific gravity (Ib/ft') >

d = Drain diameter (ft)

D = Sink diameter (2R)(ft)

D. = Column width (ft) l Fr. = Sink Froude number

= Drain Froude number l Fro g = Gravitational constant (32.2 ft/sec ) '

l Ah = Enthalpy difference between CSP and SG steam (Btullb)

H = Free surface height (ft)

H. = Critical height (ft)

k. = lnitial vortex strength k = Final vortex strength N, = Rotation number Q = Volumetric Flowrate (GPM) q = Decay heat load (Btu / min)

= Sink radius based on distance from side wall to drain center (ft) l R

U., = Average cross flow velocity (ft/sec)

U,. = Free surface cross flow velocity (ft/sec) l l

V. = Sink velocity (ft/sec)

= Drain velocity (ft/sec) i V. l W = Width of the tank (ft) '

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Waterford 3 Design Engineering Calc. No. EC-M95-012 General Computational Sheet 1

l 6.2 Listing of Equations for Cases Without Rotation '

In order to calculate the sink velocity, %, Equation 1 is used.

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V'= 2 (1) x(448.83)R i The sink Froude number is then calculated using Equation 2.

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' Fr, = V*'- (2)

gR The critical height is then calculated using Equation 3.

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Fr,'i 'Fr'

-0.25 a (3)

H, = R 1.25

( 2s ( 2s l 1

i 6.3 Methodology for Asymmetric Flow in the RWSP with Rotation Asymmetric flow conditions exist when only one train of safety injection is operating. . Columns located along the centerline of the RWSP will cause rotation in the water which will increase the height at which vortex formation begins. The suction strainers located above the suction piping reduce the rotation so that no affect will occur for vortexing which begins below the top of the screens. However, the suction screens will not prevent vortexing when formation starts above the top of the strainers.

1 In order to calculate the drain velocity, %, Equation 4 is used, v, = 0 (4)

(448.83)d' Once the drain velocity has been calculated, the drain Froude number is calculated using Equation 5.  !

Fr,= v (5) t

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Waterford 3 Design Engineering Calc. No. EC-M95-012 F

i General Computational Sheet b ,

i The average cross flow velocity is equal to the volumetric flowrate into the drain divided by the area across the tank at the location of the columns in the RWSP. Calculation EC-M96-014 [6] determined that vortex strength for free surface levels below 4.53 feet, should be based on the cross flow velocity at a free surface height 4.65 times the actual height. Therefore, the following equation is used to calculate the average cross flow velocity.

0 =

0 U = (7.48052)(60)(2)(4.65)H(W-2D,) (4174.13)H(W-2D,) l Since the RWSP width is 63 feet and the width across each column is 3 feet

[6), the previous equation further reduces to Equation 6.

0 (6)

U = (237,925.41)H

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I Calculation EC-M96-014 [6] also determined that the free surface cross flow l

velocity as a function of the average cross flow velocity can be expressed as 3

- Equation 7.

U,, = 0.0001133 + 0.095075(U,,) + 24.045(U,,)* - 227.955(U.,)' (7)

Combining Equations 6 and 7. yields Equation 8 for free surface velocity in terms of volumetric flowrate and free surface height.- 1 r r 2 3'

- 1.693(10) *(W (8)

(& + 4.248(10)#@

U,, = 0.0001133 + 3.996(10)" -

The initial vortex strength can then be calculated as shown in Equation 9.

k, = (3.87)(D,)(U,,) = (3.87)(3)U,, = (11.61)U,, (9) 1 Using the vortex strength factor constant, k/k., given in EC-M96-014 of 0.669, the final strength constant can be calculated by Equation 10.

k = (k/k,)(11.61)U,, = (0.669)(11.61)Ur , = (7.767)U,, (10)

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i Waterford 3 Design Gngineering Calc. No. EC-M95-012 f General Computational Sheet l

The rotation number, N,, can then be calculated using Equation 11.

N, = (448.83)kd = (3486.1)(d)(Ur,) (11)

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Calculation EC-M96-014 [6] derived the equation for critical height by I summing the equation for critical height without rotation with the equation that dominates for large rotations. The resulting equation is given in l

Equation 12.

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H,=d ~r1.25'(Fr,)o '425' ' d' '(Fr,)[+ d(5.6) <N ds

, H * ' " " Fr, (12) k 2> < 2 s t D) . . .

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Waterford 3 Design Engineering Calc. No. EC-M95 012 I General Computational Sheet

i q i 1 7.0 CALCULATION COMPUTATION 7.1 - Condensate Storage Pool (CSP)

The required flowrate from the Condensate Storage Pool, CMUMPOL0001, into the Emergency Feedwater (EFW) Pump suction piping is calculated based on the decay heat load at the time the CSP is near empty and the heat

load from operating four Reactor Coolant Pumps (RCPs).

- The time at which the decay heat load is taken is based upon the Typical Feedwater Capacity versus Time Remaining Until Shutdown Cooling  !

i Required curve [4). The initial water available in the CSP is 170,000 gallons, L

' and the estimated upper bound CSP level for vortexing is 10% or 21,063 gallons [5]. Therefore, the Feedwater Capacity to use on the curve is approximately 149,000 gallons. The corresponding Time Remaining Until Shutdown Cooling Required is 9.2 hours2.314815e-5 days <br />5.555556e-4 hours <br />3.306878e-6 weeks <br />7.61e-7 months <br />. This calculation will conservatively use 4.5 hours5.787037e-5 days <br />0.00139 hours <br />8.267196e-6 weeks <br />1.9025e-6 months <br />.

At 4.5 hours5.787037e-5 days <br />0.00139 hours <br />8.267196e-6 weeks <br />1.9025e-6 months <br /> post-accident, the upper bound decay heat load is 0.010454% of full thermal power [23). Full thermal power per the Cycle 10 Power Uprate Safety Analysis Groundrules is 3661 MW, and the heat input by operation of

' four RCPs is 22.8 MW [24]. The total heat load at 4.5 hours5.787037e-5 days <br />0.00139 hours <br />8.267196e-6 weeks <br />1.9025e-6 months <br /> post accident, in

,i Stu/ min,is calculated as follows.

'22.8 + (3661)(0.010454)' (3,413,000) 9 ' '

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60 The volumetric Emergency Feedwater flowrate to maintain steam generator l level is calculated by- dividing the heat load by the change in enthalpy {

between the CSP water and saturated steam in the steam generator. Using  !

the EFW pump suction piping design temperature of 115*F [15), gives an initial enthalpy of 83 Btullb [25). At the lowest set main steam safety valve set pressure, including As-found tolerance, of 1102 psig [15), the saturated liquid enthalpy is 560 Btu /lb, and the latent heat of vaporization is 628 Btu /lb  ;

[25]. Therefore the EFW flowrate can be calculated as follows.

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. Q = Ah (7.48052) = ((560 - 83) + 628 (0.01618)(7.48052 The penetration for the Emergency Feedwater Pump suction piping is located

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2.5 ft from the wall of the _ CSP [9]. Therefore, the sink radius is 2.5 ft. In i

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  1. order to calculate the sink velocity, V., Equation 1 is used.

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- Waterford 3 Design Engineering Calc. No. EC-M95412

' General Computational Sheet 1

381 V* = = 0.043

.. see x(448.83)(2.5)2 The sink Froude number is calculated using Equation 2.

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= 230x10-5 4 Fr' = ((0.043)*

32.2)(2.5) l 4

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3 The critical height is calculated using Equation 3. l

  1. 230x10-5' 230x10-5' H, = (2.5) 1.25 - 0.25 = 032 ft

( 2 s ( 2 s l Therefore, the minimum water level'in the CSP to prevent vortexing into the I EFW suction piping is 3.84 inches (0.32 ft) which corresponds to a liquid level of 1.53% [5].

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W3F1-97-0111 ,

! SUPPLEMENT TO NPF-38-179 i ATTACHMENT C i VISUAL REPRESENTATION of CHANGES I l

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L Attachment C CSP Level Comparison NPF-38-179 NPF-38-179

July 17,1996 Supplement

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100 % 100 % -

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91 % Requested T.S. Value _ 93 ' *9"* '8' "* -

_. 90.87 % g 91 %

< 3.8 % CCW Makeup 4.46 % Instnunent Uncertainty h'

p-  %- .

g. l 4.96 % Instrument 'Uncenainty 5.7 % Vortex Prevention 82% Existing T.S. Value _ 82% Existing T.S. Value _

80.71% (l70,000 gal) _ M' 80.71% (170,000 gal) _

i 0% 0% ~

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