ML12060A324

IP-CALC-10-00121, Revision 1, Backup Spent Fuel Pool Cooling System (Bsfpcs) Heat Removal Capability.

ML12060A324
Person / Time
Site:	Indian Point
Issue date:	02/06/2012
From:	Entergy Nuclear Operations
To:	Office of Nuclear Reactor Regulation
References
NL-12-029 IP-CALC-10-00121, Rev 1
Download: ML12060A324 (67)

Text

Enclosure 1 To NL-12-029 IP-CALC-10-00121 BACKUP SPENT FUEL POOL COOLING SYSTEM (BSFPCS) HEAT REMOVAL CAPABILITY ENTERGY NUCLEAR OPERATIONS, INC.

INDIAN POINT NUCLEAR GENERATING UNIT NO. 3 DOCKET NO. 50-286

ATTACHMENT 9.2 ENGINEERING CALCULATION CO'VER PAGE Sheet 1 of 66 Ml ANO-1 [: ANO-2 Li GGNS [I IP-2 ED IP-3 El PLP M JAF El PNPS L]RBS M VY El W3 El NP-GGNS-3 EM NP-RBS-3 -

CALCULATION EC # 34105 Page 1 of 66 COVER PAGE-Design Basis Calc. E-] YES E] NO [] CALCULATION i-1EC Markup Calculation No: IP-CALC-10-00121 Revision: 1

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Editorial Removal Capability Dl YES ENO System(s): BSFPC, SFPC Review Org (Department):

Design Engineering - Mechanical Safety Class: ComponentlEquipment/Structure Type/Number:

- Safety I Quality Related II Augmented Quality Program

[ Non-Safety Related Document Type: Calculation Keywords (Description/Topical Codes):

Backup Spent Fuel Pool Cooling System BSFPC REVIEWS N me/Signature/Date Name/Signature/Date Name/Signature/Date K.Afieri JJ. Bubniak , t. .Myers f'Reonsible Engineer Design Verifier 8 uperv'isilApptovhl

_ LReviewer

[]Comments Attached El Comments Attached EN-DC-126 REV 4

ATAHMENT6 9.3 CALCULATION REFERENCE SHEET Sheet 2 of 66 CALCULATION CALCULATION NO: IP-CALC-10-00121 REFERENCE SHEET REVISION: 1 I. EC Markups Incorporated (N/A to NP calculations) 1.34105 I1. Relationships: Sht Rev Input Output Impact Tracking Doc Doc Y/N No.

1. 0 EJ III. CROSS

REFERENCES:

1. APV Plate HeatExchanger Data Sheet E2449

2. Wang, L., Bengt Sunden, and R.M. Manglik. Plate Heat Exchangers:Design, Applications, and Performance.

3. IP3-DBD-308, Attachment A

4. Cengel, Yunus A. Heat and Mass Transfer:A PracticalApproach. 3rd ed.

5. EVAPCO AT 12-724B Performance Curve IV. SOFTWARE USED: None

Title:

N/A Version/Release: Disk/CD No.

V. DISK/CDS INCLUDED: None

Title:

N/A Version/Release Disk/CD No.

VI. OTHER CHANGES:

EN-DC-126 REV 4

ATTACHMENT 9.4 RECORD OF REVISION Sheet 3 of 66 Revision Record of Revision, Initial issue.

0 Revision 1 of IP-CALC-10-00121 developed additional heat removal curves for the BSFPCS for Spent Fuel Pool Bulk Temperatures of 160 OF, 170 OF, 175 OF, and 180 °F over a wet bulb temperature (WBT) range of 40 °F to 75 OF.

i EN-DC-126 REV 4

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 4 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 4.0 Table of Contents 1.0 Calculation Cover Page .................................................................................... 1 2.0 Calculation Reference Page ................................................................................. 2 3.0 Record of Revision .............................................................................................. 3 4.0 Table of Contents ................................................................................................. 4 5 .0 Purpose ................................................................................................................ 5 6.0 Conclusion ........................................................................................................... 5 7.0 Input and Design Criteria ..................................................................................... 6 8.0 Assumptions ........................................................................................................ T 9.0 M ethod of Analysis .............................................................................................. 7 10.0 Calculations ........................................................................................................ 9 11.0 References ................................................................................................... 57 12.0 Attachments ................................................................................................. 58 12.1 LM TD M ethod (1 Page) ................................................................................. 58 12.2 APV Plate Heat Exchanger Data Sheet E2449 (1 Page) ............................. 59 12.3 EVAPCO AT 12-724B Performance Curve (1 Page) .................................. 6.0 12.4 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 150 'F (1 Page) ...................................................................................... 61 12.5 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 160 'F (1 Page) ...................................................................................... 62 12.6 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 170 'F (1 Page) ...................................................................................... 63 12.7 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 175 'F (1 Page) ...................................................................................... 64 12.8 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 180 'F (1 Page) ...................................................................................... 65 12.9 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 190 'F (1 Page) ...................................................................................... 66

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 5 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 5.0 Purpose In response to SOER 09-01, Recommendation 9, Minimizing potential for boiling on loss of Spent Fuel Pool (SFP) cooling during full core off-load; system capability curves need to be developed to better understand and use the decay heat removal capabilities of the Unit 3 Backup Spent Fuel Pool Cooling System (BSFPCS) as requested in CR-IP2-2009-03464 CA #23. As a result, Revision 0 of this calculation developed two BSFPCS heat removal curves for Spent Fuel Pool Bulk Temperatures of 150 IF and 190 IF over a wet bulb temperature (WBT) range of 40 IF to 75 IF.

It is also desired to determine the heat removal capability of the BSFPCS heat exchanger using a variety of Spent Fuel Pool Bulk temperatures over the same WBT range of 40 IF to 75 IF. To accomplish this, Revision 1 of this calculation developed additional heat removal curves for the BSFPCS for Spent Fuel Pool Bulk Temperatures of 160 IF, 170 IF, 175 IF, and 180 IF over a wet bulb temperature (WBT) range of 40 IF to 75 IF.

6.0 Conclusion Wet Bulb Secondary Loop Qsfp SFP Temperature [IF] Inlet Temperature [Btu/hr] Temperature [IF]

[OF]

40 73.7 27,482,000 150 45 76.1 26,618,000 150 50 78.0 25,933,000 150 55 80.2 25,141,000 150 60 82.2 24,421,000 150 65 84.7 23,520,000 150 70 87.0 22,692,000 150 75 88.8 22,044,000 150 40 73.7 31,048,000 160 45 76.1 30,220,000 160 50 78.0 29,535,000 160 55 80.2 28,743,000 160 60 82.2 28,023,000 160 65 84.7 27,122,000 160 70 87.0 26,294,000 160 75 88.8 25,645,000 160 40 73.7 34,650,000 170 45 76.1 33,821,000 170 50 78.0 33,137,000 170

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 6 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 55 80.2 32,345,000 170 60 82.2 31,624,000 170 65 84.7 30,724,000 170 70 87.0 29,895,000 170 75 88.8 29,247,000 170 40 73.7 36,451,000 175 45 76.1 35,622,000 175 50 78.0 34,938,000 175 55 80.2 34,146,000 175 60 82.2 33,425,000 175 65 84.7 32,525,000 175 70 87.0 31,696,000 175 75 88.8 31,048,000 175 40 73.7 38,252,000 180 45 76.1 37,423,000 180 50 78.0 36,739,000 180 55 80.2 35,946,000 180 60 82.2 35,226,000 180 65 84.7 34,326,000 180 70 87.0 33,497,000 180 75 88.8 32,849,000 180 40 73.7 41,889,000 190 45 76.1 41,025,000 190 50 78.0 40,341,000 190 55 80.2 39,548,000 190 60 82.2 38,828,000 190 65 84.7 37,927,000 190 70 87.0 37,099,000 190 75 88.8 36,451,000 190 See Attachments for Heat Removal Capability Curves 7.0 Input and Design Criteria 7.1 Cooling Tower

• Flow Rate:

= 1,250,000 lbm/hr [Reference 11. 1]

7.2 Plate Heat Transfer

• Heat Transfer Area: 2 A = 686.5 ft [Reference 11. 1]

" Specific Heat Capacity:

Cp = 1.00 Btu/lb-°F [Reference 11. 1]

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 7 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling Systeir (BSFPCS) Heat Removal Capability

• Flow Rate:

MP = 750,000 lbm/hr [Reference 11. 1]

• Heat Transfer Coefficient:

U = 859.6 Btu/lt2-h-°F [Reference 11.1]

Note: The design U value for the plate heat exchanger is assumed constant for this calculation due to the single-phase flow of the System [Reference 11.2].

Note: These inputs were obtained from the technical specification sheet for the plate heat exchanger, the cooling tower performance curve and the design basis document for the Backup Spent Fuel Pool Cooling System (BSFPCS).

• SFP Bulk Temperatures (Primary Side Inlet):

Tp,in =150 OF [Reference 11.3]

190 OF Additional SFP Bulk to be evaluated are 160 °F, 170 OF, 175 °F, and 180 OF.

8.0 Assumptions None 9.0 Method of Analysis 9.1 Background The plate heat exchanger consists of two loops, the Primary (hot) which is cooled by the Secondary (cold). The heat removal capability of the System is the amount of heat that is transferred from the primary loop to the secondary loop of the heat exchanger. The Primary (hot) loop consists of the SFP, two pumps, the plate heat exchanger, and two filters. The Secondary (cold) loop consists of two cooling towers, two pumps and the plate heat exchanger. Both cooling towers are operated simultaneously at 50% flow capacity. This allows for the cooling towers to be analyzed as one unit. Following confirmation from the vendor, the performance curve was generated for a flow rate of 2,500 gpm, which is equivalent to the overall flow rate of the system.

Both loops are in equilibrium. Therefore, an energy balance on both loops is performed to determine the heat removal capability of the plate heat exchanger. The heat transfer rate for a steady-flow system is Q = m x cp x AT [Reference 11.4]. Since the temperature difference of the loop is unknown, the heat load is also unknown. In order to determine the temperature difference, a heat load is selected. Then, using the selected heat load, an energy balance is performed on both loops and verified using Q = U x A x A TLMTD. This heat rate equation is used to analyze any type of heat exchanger. The temperature difference between the hot and cold fluids varies along the heat exchanger; therefore it is necessary to use a log

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 8 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability mean temperature difference ATLMTD. The log mean temperature difference is defined as:

=AT,-AT 2 [Reference 11.4]

ATnLAT-

[AT2)

In the case of this plate heat exchanger, A Ti = Tp,. - T.,,.., and A T 2 = Tp,,ot

-T8 ,i,, [Attachment 1].

Note: The formula above is shown in Section 10.0 with the primary and secondary terms rearranged in the numerator.

9.2 Methodology 9.2.1 For a chosen wet bulb temperature, use the cooling tower performance curve [Reference 11.5, Attachment 12.3] to determine the secondary water inlet temperature, T',in.

9.2.2 Select a SFP heat load (Qsfp,).

9.2.3 Calculate secondary side AT, using Qsfp = ms x cp x AT,.

9.2.4 Calculate secondary side outlet water temperature (T,,out) based on AT, = Ts 8 out- Ts,in.

9.2.5 Calculate primary side ATp using Qsfp = mp x cp x ATp 9.2.6 Calculate primary side outlet water temperature (Tp,out) based on ATp = Tp~in - TP'out using a Tp,in value of 150 'F, 160 'F, 170 'F, 175°F, 180 'F, and 190 'F.

9.2.7 Calculate the LMTD based on the determined temperatures 9.2.8 Compare the value with the LMTD determined from the formula 9.2.8.1 q = U x A x LMTD.

9.2.9 If the two LMTD values are less than I1%apart, the selected heat load is acceptable. If not, choose another heat load and perform the above steps until the LMTD values converge.

9.2.10 Repeat steps for other wet bulb temperatures.

9.2.11 Plot the Results.

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 9 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 10.0 Calculations Design Inputs:

Tpin:= 150 Area := 686.5 U:= 859.6 cp := 1 mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=40 Tsin:=73.7 9.2.2 Selected SFP Heat Load:

Qsfp := 27.48210 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs := 2 dTs = 21.986 ms'Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 95.686 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp .:s- dT mlp.cp P = 36.643 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 113.357 9.2.7 The Log Mean Temperature Difference is calculated:

LMTD 1 :[(Tpin

=

LMTD1~ -~.(Tpin Tpout) - _Tsout)1LMD=4.0 (Tsout - Tsin)] LMTD1 46.602

-(Too,- Tsio)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 .- LMTD 2 = 46.571 U-Area 9.2.9 The values are compared and the percent difference of the two values is determined:

-(LMTD1 - LMTD 2 ) 1 PercentDifference :=- LMT 2 ].-100 r = LMTD 2 H PercentDifference = 0.068 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 10 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Coolng System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:= 160 Area:= 686.5 U:= 859.6 c :=1 mI := 750000 m:= 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=40 Tsin:=73.7 9.2.2 Selected SFP Heat Load:

Qsfp := 31.048106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs := !dTs = 24.838 mscp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 98.538 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

.Qsfp dTp .= P dT = 41.397 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 118.603 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin- Tpout) - (Tsout - Tsin)]

LMTD 1 := [ n* T (Tsut

- T__U0

- 1 ) LMTD1 = 52.75 Pp{(t -Tsout)]

9.2.8 Rearranging the equation Q = U x Ax LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD2 .- LMTD 2 = 52.613 U-Area 9.2.9 The values are compared and the percent difference of the two values is determined:

[-LMTD 1 - LMTD 2 ) 1 PercentDifference :=- - 1--MTD0

.100 r = LMTD 2 H PercentDifference = 0.259 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 11 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin :=170 Area := 686.5 U:= 859.6 cp := 1 nm := 750000 nm := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=40 Tsin :=73.7 9.2.2 Selected SFP Heat Load:

Qsfp := 34.65106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

f Qsf*

dTs := m dTs, = 27.72 s'Cip 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 101.42 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .:= P dTp = 46.2 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 123.8 9.2.7 The Log Mean Temperature Difference is calculated:

LI (Tpin - Tpout)-

(TT-Tsu) NOWt- Tsin)] LMTD,=58.857

- Tsin)- IL(Tout 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTDp LMTD2 U.-

U.Area LMTD 2 = 58.717 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference :=

(LMTD1I -

LM 2 LMTD 2 ) 1000 r = LMTD2 H PercentDifference = 0.238 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 12 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooing System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin :=175 Area:= 686.5 U:= 859.6 Cp =1 n := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=40 Tsin:=73.7 9.2.2 Selected SFP Heat Load:

Qsfp := 36.451106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := Q

• dTs =29.161 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 102.861 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dT sf- dT = 48.601 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout :=Tpin- dTp Tpout = 126.399 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 l{(Tpin- Tsout)] LMTD 1 =61.911 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 .- LMTD2 = 61.769 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference :=

PercentDifference = 0.23 L( LM22 LMTD2

].[0 0

]

Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 13 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 180 Area := 686.5 U:= 859.6 cp := 1 np:= 750000 m:= 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=40 Tsin :=73.7 9.2.2 Selected SFP Heat Load:

Qsfp := 38.252106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTS-s.- dTs =30.602 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 104.302 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dT p := - dT = 51.003 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 128.997 9.2.7 The Log Mean Temperature Difference is calculated:

LMD: (TPin - Tpout) - (Tsout - Tsin)]

LMTD [ - (Tpin- Tsou._t LMTD 1 = 64.965

[(pout - Tsin) 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2:= U. UeArea LMTD 2 = 64.821 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference (LMTD1 - LMTD2) 100

-( LMTD2 I.

PercentDifference = 0.222 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 14 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin :=190 Area :=686.5 U:= 859.6 cP:= 1 np:=750000 ms:=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=40 Tsin:=73.7 9.2.2 Selected SFP Heat Load:

Qsfp :=41.889106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dT :=s

.- dTs = 33.511 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 107.211 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp d~p

.- dT = 55.852 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 134.148 9.2.7 The Log Mean Temperature Difference is calculated:

(Pon - Tpout) - (Tsout - Tsin)]

LMTD 1 [- .Tpin - (Tsout, ,SU )] LMTD1 = 71.034 pouTsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 := LMTD 2 = 70.984 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

LMTD 1 - LMTD2 )-1 PercentDifference := 2 1.100 PercentDifference = 0.07 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 15 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 150 Area :=686.5 U:= 859.6 c 1 m:=I= 750000 ms:= 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=45 Tsin:=76.1 9.2.2 Selected SFP Heat Load:

Qsfp := 26.618106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs :=2 dTs = 21.294 ms'Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 97.394 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp .= dTp = 35.491 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 114.509 9.2.7 The Log Mean Temperature Difference is calculated:

P(pin - Tpout) - (Tsout - Tsin)]

LMTD 1 [- - (Tpin__ Tsu.t *-

1.S_)_ LMTD1 = 45.136 n(Tpout- Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2:.- U-Area LMTD 2 = 45.106 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference - L( LMTD - LMTD2 )1 LMTD 2 LMTD1 2)]

j' 100 PercentDifference'= 0.066 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 16 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 160 Area:= 686.5 U:= 859.6 c =1 n:=

p 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:= 4 5 Tsin :=76.1 9.2.2 Selected SFP Heat Load:

Qsfp := 30.220106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

• Qsfp dTs := 3sp dTs = 24.176 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 100.276 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp . -- dTp = 40.293 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 119.707 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 [: .- -(Tpin/t

- Tsou )1 LMTD 1 = 51.244 nTpout- Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD2 U.Area LMTD 2 =51.21 9.2.9 The values are compared and the percent difference of the two values is determined:

LMTD - LMTD 2)1 PercentDifference "-(

= LMTD 2 -J 1.100 PercentDifterence = 0.065 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 17 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 170 Area:= 686.5 U:= 859.6 cp := I mp := 750000 m: 1250000 9.2.1 Determination of Secondary Inlet Temperature 45 Twbt:= Tsin :=76.1 9.2.2 Selected SFP Heat Load:

Qsfp := 33.821106 9.2.3 Using the equation Q = m x cp z dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs := dTs = 27.057 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 103.157 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp :s dT = 45.095 mp.Cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 124.905 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 [ n (Tpin - _Tsout) - LMTD 1 = 57.352 npout- Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 := LMTD 2 = 57.313 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

(LMTD 1 - LMTD 2) 1 PercentDifference := I

-- LTD22 100 r = LMTD 2 H PercentDifference = 0.069 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 18 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 175 Area:= 686.5 U:= 859.6 c =1 np := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:= 4 5 Tsin :=76.1 9.2.2 Selected SFP Heat Load:

Qsfp := 35.622106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

• Qsf-p dTs .= dTs = 28.498 ms'-Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 104.598 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .S dTp = 47.496 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 127.504 9.2.7 The Log Mean Temperature Difference is calculated:

LMD (TPin - Tpout) - (Tsout - Tsin)]

LMTD" I(Tpin - Tsout,- LMTD1 = 60.406 n(Tpout - Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTDp LMTD2 .- U.Area e LMTD 2 = 60.364 9.2.9 The values are compared and the percent difference of the two values is determined:

-(LMTD 1 - LMTD 2 )]

PercentDifference : .100 r = LMTD 2 H PercentDifference =0.069 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. I Page: 19 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=180 Area:= 686.5 U:=859.6 cp:=l mp:=750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:= 4 5 Tsin :=76.1 9.2.2 Selected SFP Heat Load:

Qsfp := 37.423106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := dTs = 29.938 ms'-Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 106.038 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp .:=- dT = 49.897 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 130.103 9.2.7 The Log Mean Temperature Difference is calculated:

[(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 [ i(Tpin - Tsout) - LMTDI,= 63.46 Ppout - sin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 .- LMTD2 = 63.416 U. Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference

=L( LMTD 2 ' o100 PercentDifference = 0.069 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 20 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:= 190 Area := 686.5 U:= 859.6 cp := 1 mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:= 4 5 Tsin := 76.1 9.2.2 Selected SFP Heat Load:

Qsfp :=41.025106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := dTs = 32.82 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 108.92 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp := dTp = 54.7 mp-Cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout :=Tpin- dTp Tpout = 135.3 9.2.7 The Log Mean Temperature Difference is calculated:

EPon - Tpout) - (Tsout - Tsin)]

LMTD 1 [- -(T p i n - Tsout)]-]r*l LMTD 1 = 69.567 (Tpout - T-in)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 .- LMTD 2 = 69.52 U-Area 9.2.9 The values are compared and the percent difference of the two values is determined:

- LMTD, - LMTD ) 10 PercentDifference := _L 100

-L LMTD 2 j PercentDifference = 0.068 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 21 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:= 150 Area := 686.5 U:= 859.6 cp := 1 mp :=750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=50 Tsin:=78 9.2.7 Selected SFP Heat Load:

Qsfp := 25.933106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs .- dTs = 20.746 ms'Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 98.746 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfb dTp := 2--' dT = 34.577 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 115.423 9.2.7 The Log Mean Temperature Difference is calculated:

P(pin - Tpout)-. (Tsout - Tsin)"]

LMTD 1 "(Tpin - Tsout ,] LMTD1 = 43.976

{(Tpout- Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsip LMTD 2 .- LMTD2 = 43.946 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference :=

L(- LMTD 2

[100 O

Selected Heat Load is Acceptable PercentDifference = 0.07

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 22 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Oesign Inputs:

Tpin := 160 Area := 686.5 U:= 859.6 cp := 1 MP := 750000 nis := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=50 Tsin:=78 9.2.2 Selected SFP Heat Load:

Qsfp := 29.535106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs:= - dTs = 23.628 ms'Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

T so ut := dTs + Tsin Tsout = 101.628 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp s-mp.cp dT = 39.38 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 120.62 9.2.7 The Log Mean Temperature Difference is calculated:

LMTD (Tpin - Tpout)-in (Tsout-Tsout Tsin)] LMTD = 50.084 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 .- U. LMTD 2 = 50.05 Area 9.2.9 The values are compared and the percent difference of the two values is determined:

- LMTD1 - LMTD 2 )].

PercentDifference "-

L( LMTD 2 J 100 PercentDifference = 0.069 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 23 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=170 Area:= 686.5 U:=859.6 cp := I m: 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=50 Tsin:=78 9.2.2 Selected SFP Heat Load:

Qsfp := 33.137106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs := Q~ dTs = 26.51 fls 'Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 104.51 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp :.-- dT = 44.183 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 125.817 9.2.7 The Log Mean Temperature Difference is calculated:

[(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 In (Tpin - Tsout) LMTD 1 = 56.191 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 .- LMTD 2 = 56.153 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference := - 100

= -LMTD 2 ]

PercentDifference = 0.068 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 24 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:= 175 Area := 686.5 U:= 859.6 c =1 n:=

p 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=50 Tsin :=78 9.2.2 Selected SFP Heat Load:

Qsfp := 34.938106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

.Qsfp dTs := 2-- dTs = 27.95 ms'~Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 105.95 9.2.5 Usirg the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp := - dT = 46.584 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout :=Tpin- dTp Tpout = 128.416 9.2.7 The Log Mean Temperature Difference is calculated:

LMD: (Tpin - Tpout) - (Tsout - Tsin)]

LMTD p - (Tpin--Tsout-)] LMTD1 = 59.245 npout - Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qstb LMTD 2 := LMTD2 = 59.205 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

(LMTD LMTD)1 PercentDifference := -L( L 1

2 J*-LMTD2_I 100 PercentDifference = 0.067 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-09121 Rev. 1 Page: 25 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:= 180 Area:=686.5 U:=859.6 cp:= mp:=750000 ms:=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=50 Tsin:=78 9.2.2 Selected SFP Heat Load:

Qsfp := 36"739106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := Qsp dTs = 29.391 9.2.4 Using the secondary temperature difference ( dTs = Tsout - Tsin) the outlet temperature can be determined.

T Tsout := dTs + Tsin sout = 107.391 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp :=

. dT = 48.985 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 131.015 9.2.7 The Log Mean Temperature Difference is calculated:

(Tpin- - (TsOWt- Tsin)-

LMTD 1 In (Tpin - Tsout ) LMTD 1 = 62.299 nP(pout - Tsin)-

9.2.8 Rearranging the equation Q = U x Ax LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 U.- e U.Area LMTD 2 = 62.257 9.2.9 The values are compared and the percent difference of the two values is determined:

-LmTD, L - LMTD 2)]1I 100 PercentDifference L(/ LMTD 2 j PercentDifference = 0.067 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 26 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=190 Area:= 686.5 U:= 859.6 cp:= 1  :=750000 ns :=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=50 Tsin:=78 9.2.2 Selected SFP Heat Load:

Qsfp := 40.34 106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := P dTs = 32.273 ms.'Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 110.273 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsf$

dTp .-- f dT = 53.788 mp.cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 136.212 9.2.7 The Log Mean Temperature Difference is calculated:

[(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 (Tpin - Tso u t ) ] LMTD 1 = 68.407 r*_(Tpout - Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 := LMTD 2 = 68.361 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

LMTD1 -LT 2 )]

PercentDifference :: - T100 r = LMTD 2 H PercentDifference =0.066 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-001211 Rev. 1 Page: 27 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 150 Area := 686.5 U:= 859.6 cp :=1 np := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=55 Tsin:=80.2 9.2.2 Selected SFP Heat Load:

Qsfp := 25.141106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs:?.T- dTs = 20.113 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 100.313 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .- dT = 33.521 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 116.479 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) -(Tsout - Tsin)]

LMTD 1 In (Tpi{n-Tsout]_ LMTD1 = 42.632 n-(T Pout - Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 UArea LMTD 2 = 42.604 9.2.9 The values are compared and the percent difference of the two values is determined:

-(LMTD 1 - LMTD 2 )1 PercentDifference := -T-2 .100 PercentDifterence = 0.067 Selected Heat Load is Acceptable

Calculation No. IP-CALC-1O-00121 Rev. P age: 28 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 160 Area := 686.5 U:= 859.6 c := 1 mp := 750000 mns:= 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:= 55 Tsin := 80.2 9.2.2 Selected SFP Heat Load:

Qsfp := 28.743106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs  :=-2 dTs = 22.994 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 103.194 9.2.5 Using the equation Q = m.x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp .:= dT = 38.324 mp.cp P 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp " Tpout = 121.676 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 [ n (Tpin - Tsout)- LMTD = 48.74

- Tsin) s(Tout 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD2 "U.Area LMTD 2 = 48.707 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference :="-(LMTD -- LMTD21].100

"-( LMTD 2 j PercentDifference = 0.066 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. P age: 29 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 170 Area:= 686.5 U:=859.6 cp := 1 mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet,Temperature Twbt:=55 Tsin :=80.2 9.2.2 Selected SFP Heat Load:

Qsfp := 32.345106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs -t dTs = 25.876 ms.Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 106.076 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .:=Q dTp = 43.127 mp-Cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout :=Tpin- dTp Tpout = 126.873 9.2.7 The Log Mean Temperature Difference is calculated:

[(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 I (Tpin -. Tsout LMTD1 = 54.847 nP(pout - Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 .- LMTD 2 = 54.811 U. Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference :=

L( LMTD2 LMTD- LMTD2)] 100 j

PercentDifference = 0.066 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 30 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=175 Area:= 686.5 U:=859.6 cp:=1 n :=750000 ms :=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:= 55 Tsin := 80.2 9.2.2 Selected SFP Heat Load:

Qsfp := 34.146106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs .- dTs = 27.317 ms.Cp 9.2.4 Using the secondary temperature difference ( dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 107.517 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp QP dTp = 45.528 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 129.472 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1  := (Tpin Tsout)1 LMTD 1 = 57.901 nP(pout - Tsin) 1 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 U.- e LMTD 2 = 57.863 U. Area 9.2.9 The values are compared and the percent difference of the two values is determined:

r LMTD 1 - LMTD 2)1 PercentDifference :=

L( I-- TD22 LMTD 2

..I.100 PercentDifference = 0.065 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 31 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Peol Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:= 180 Area :=686.5 U:= 859.6 cp:= np:= 750000 ms:=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt := 55 Tsin := 80.2 9.2.2 Selected SFP Heat Load:

Qsfp := 3 5.946106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs .= -- dTs = 28.757 m cs'p 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 108.957 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp :=

. dTp = 47.928 mp.cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 132.072 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)-]

LMTD 1 .= 1(Tpin_Tsout). LMTD 1 = 60.956 nP(pout - smn) 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 .- LMTD 2 = 60.914 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference L( LMTD1 - LMTD2)* 100 LMTD 2 I.

PercentDifference = 0.07 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 32 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 190 Area := 686.5 U := 859.6 cp := 1 m: 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt := 55 Tsin := 80.2 9.2.2 Selected SFP Heat Load:

Qsfp := 39.54810 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dT sfp- dTs = 31.638 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 111.838 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp :=

. dT = 52.731 m~p,,p 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout Tpin - dTp Tpout = 137.269 9.2.7 The Log Mean Temperature Difference is calculated:

P(pin - Tpout) -- (Tsout - Tsin)]

LMTD 1 := -(Tpin - Tsout) ] LMTD 1 = 67.064 nP(pout - Tsin) 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 .- LMTD 2 = 67.017 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

(LMTD - LMTD2 )1 PercentDifference := LMTD1 2) 100 PercentDifference = 0.069 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 33 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:= 150 Area := 686.5 U:= 859.6 cp := 1 mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=60 Tsin:=82.2 9.2.2 Selected SFP Heat Load:

Qsfp :=24.42106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsip dTs := dTs = 19.537 ms.Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 101.737 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dT p := dTp = 32.561 nmp. Cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 117.439 9.2.7 The Log Mean Temperature Difference is calculated:

LMTD 1 := [( Tpint) - NOu- T)] LMTD 1 = 41.41

{(Tpout- Tsin)j]

9.2.8 Rearranging the equation Q = U x Ax LMTD, the Log Mean Temperature Difference is calculated:

Osfp LMTD 2 := LMTD 2 = 4 1.383 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

1 L(

(LMTFD 1 - LMTD 2)

PercentDifference :=L* -1TD22 ].100 LMTD2 J PercentDifference = 0.064 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 34 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 160 Area:= 686.5 U:=859.6 cp := 1 mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:= 60 Tsin := 82.2 9.2.2 Selected SFP Heat Load:

Qsfp := 28.023106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs := Qs dTs = 22.418 ms. -Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 104.618 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp s- dTp = 37.364 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 122.636 9.2.7 The Log Mean Temperature Difference is calculated:

LMTD 1 : [(Tpin -I(Tp Tpout) --_(Tsout Tsout) - Tsin)] LMTD1 = 47.518 P(pout -- Tin 9.2.8 Rearranging the equation Q = U x Ax LMTD, the Log Mean Temperature Difference is calculated:

Qsf*

LMTD2: .- U-Area LMTD 2 = 47.487 9.2.9 The values are compared and the percent difference of the two values is determined:

L(/LMTD PercentDifference :=LMTD1 - L-MTD21] 100 2 '

PercentDifference = 0.064 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. I Page: 35 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 170 Area:= 686.5 U:= 859.6 c =1 np := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Tempera-lure 60 82 2 Twbt:= Tsin:= .

9.2.2 Selected SFP Heat Load:

Qsfp := 31.624106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTSQsf

.- dTs = 25.299 ms'Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 107.499 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .:= Q dTp = 42.165 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 127.835 9.2.7 The Log Mean Temperature Difference is calculated:

E(Tpin - Tpout) - (Tsout - Tsin)-]

LMTD 1 [( -, = 53.626 nP(pout - Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 .- LMTD 2 = 53.59 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference L(/-(LMTDLMTD- LMTD2) "100 2

PercentDifference = 0.069 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 36 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin :=175 Area := 686.5 U:= 859.6 c := 1 mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=60 Tsin:=82.2 9.2.2 Selected SFP Heat Load:

Qsfp := 33.425106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs :=- dTs = 26.74 9.2.4 Using the secondary temperature difference ( dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 108.94 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp .-= P dT = 44.567 nlP~cp P 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout§:= Tpin- dTp Tpout = 130.433 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)-]

LMTD 1 [- -lr (Tpin-T - t T-i )]T LMTD1 = 56.68 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 .- LMTD2 = 56.641 U-Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference :=

PercentDifference = 0.068 K LMTD 2 j 100 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 37 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=180 Area:=686.5 U:=859.6 cp:= mp:=750000 ms :=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=60 Tsin:=82.2 9.2.2 Selected SFP Heat Load:

Qsfp := 35.226106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs .- dTs = 28.181 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 110.381 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp .:= dTp = 46.968 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 133.032 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 In (Tpin - TsOut)- LMTD 1 = 59.734 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 .- LMTD2 = 59.693 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference

[(/LMTD - L LMTD 2 J1-MTD2) 100 PercentDifference = 0.068 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 38 of 66

!ndian Point Unit 3

Title:

Backup Spent Fuel Pooh Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 190 Area := 686.5 U:= 859.6 cp := 1 mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt := 60 Tsin := 82.2 9.2.2 Selected SFP Heat Load:

Qsfp := 38.828106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := dTs = 31.062 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 113.262 9.2.5 Using the equation Q = m x cp x aT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dT p := Q dT = 51.771 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout :=Tpin -dTp Tpout = 138.229 9.2.7 The Log Mean Temperature Difference is calculated:

LMTDLM  := [(Tpin -IF-1 TD1 Tpout)_n -_-(Tsout (Tpi._ - Tsin)]

Tsou.._t )]M LMTDD1 ==665.842

.4 n(Tpout- Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 .- LMTD 2 = 65.797 U-Area 9.2.9 The values are compared and the percent difference of the two values is determined:

(LMrD1 - LMTD2 )1 PercentDifference (LMTD1 2)] 100 PercentDifference = 0.067 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 39 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=150 Area:=686.5 U:=859.6 cp:= Iap:= 750000 ms :=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=65 Tsin:=84.7 9.2.2 Selected SFP Heat Load:

Qsfp := 23.52106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsi*

d~s

.- dTs = 18.816 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 103.516 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dT p := P dT = 31.36 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 118.64 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 , n(Tpin TTi )] LMTD 1 = 39.884 Ppout -Tsmn)]

9.2.8 Rearranging the equation Q = U x Ax LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 := U LMTD 2 = 39.857 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

LMTD, - LMTD 2 ) 1 PercentDifference := -- -100 e LMTD

= 2 PercentDifference =0.068 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 40 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 160 Area := 686.5 U:= 859.6 cp := 1 np := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt := 65 Tsin := 84.7 9.2.2 Selected SFP Heat Load:

Qsfp := 27.122106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs:.- P dTs = 21.698 rns.c 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 106.398 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp := Q dT = 36.163 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 123.837 9.2.7 The Log Mean Temperature Difference is calculated:

E(Tpin - Tpout) - (Tsout -Tsin)

LMTD 1 .- 1{(TpinTscut/_ LMTD 1 = 45.991 n(Tpout - Tsin)-

9.2.8 Rearranging the equation Q = U x Ax LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD2:= UArea LMTD 2 = 45.961 9.2.9 The values are compared and the percent difference of the two values is determined:

-[

PercentDifference :=-[(LMTD1 LMTD

- LMTD 2 J 2 ).* 100 PercentDifference = 0.067 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 41 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:= 170 Area := 686.5 U:= 859.6 cp := 1 m:= 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=65 Tsin:=84.7 9.2.2 Selected SFP Heat Load:

Qsfp := 30.724106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dT -s P dTs = 24.579 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 109.279 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp d~p.- dT = 40.965 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tigou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 129.035 9.2.7 The Log Mean Temperature Difference is calculated:

E(Tpin- Tpout)- (Tsout- Tsin)-

LMTD 1 :: 1 Tsout).. LMTD 1 = 52.099 rP(pout - Tsin) 1 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 .- LMTD2 52.064 U-Area 9.2.9 The values are compared and the percent difference of the two values is determined:

L(

PercentDifference :=: LMTD1- LMTD2)1 100 LMTD 2 '

PercentDifference = 0.066 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 42 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 175 Area:= 686.5 U:= 859.6 c =1 n:=

p 750000 nm := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=65 Tsin:=84.7 9.2.2 Selected SFP Heat Load:

Qsfp := 32.525106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs .- dTs = 26.02 ms'-Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 110.72 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qstb dTp .:= dT = 43.367 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTP Tpout = 131.633 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)-]

LMTD 1 [ -

-(Tpin - Tsout )] LMTD 1 = 55.153

{(Tpout - Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 - LMTD 2 = 55.116 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

1 L(

[-LMTD 1 - LMTD 2 )

PercentDifference :=L- T-2 . I-100 LMTD2 I-PercentDifference = 0.066 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 43 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=180 Area:=686.5 U:=859.6 Cp :=I n:=750000 nm:=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=65 Tsin:=84.7 9.2.2 Selected SFP Heat Load:

6 Qsfp := 34.32610 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs .- dTs = 27.461 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 112.161 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp :=- dT = 45.768 mp-Cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 134.232 9.2.7 The Log Mean Temperature Difference is calculated:

E(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 = 1(Tpin _-Tsout). LMTD 1 = 58.207 rP(pout - Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2U U. Aa Area LMTD 2 = 58.168 9.2.9 The values are compared and the percent difference of the two values is determined:

F(LMTD, - LMTD 2 )

Percent=1rence 100

[:/ LMTD 2 "

PercentDifference = 0.066 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 44 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 190 Area:= 686.5 U:= 859.6 c : 1 np:= 750000 ms:=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=65 Tsin:=84.7 9.2.2 Selected SFP Heat Load:

Qsfp := 37.927106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs := dTs = 30.342 ns'C p 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 115.042 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp := 2-sL dT = 50.569 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 139.431 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 := . Tsout)1 LMTDt = 64.315 rP(pout - Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 := U.ra LMTD 2 = 64.27 U-Area 9.2.9 The values are compared and the percent difference of the two values is determined:

L(LMTD, - LMTD )1 PercentDifference :=-LMTD LMTD 2 _]

2) 100 PercentDifference = 0.07 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-90121 Rev. 1 Page: 45 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=150 Area:= 686.5 U:=859.6 cp:=1 nm:=750000 msn:=1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=70 Tsin :=87 9.2.2 Selected SFP Heat Load:

Qsfp :=22.692106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dT 2s.-f dTs = 18.154 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 105.154 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp .:=- dT = 30.256 m~p.Cp P 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 119.744 9.2.7 The Log Mean Temperature Difference is calculated:

P(pin - Tpout) - (Tsout - Tsin)]

LMTD 1 - (Tpin - Tsout - ) LMTD 1 = 38.479

-(Tpout - Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 := LMTD 2 = 38.453 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

LMTD1 -LMTD 2 ) 1 PercentDifference :=L" T 2)] 100 PercentDifference = 0.065 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 46 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin - 160 Area:= 686.5 U:= 859.6 cp := I mp := 750000 ms := 1250000 9.2.A Determination of Secondary Inlet Temperature Twbt:= 7 0 Tsin:=87 9.2.2 Selected SFP Heat Load:

Qsfp := 26.294106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := Qs dTs = 21.035 9.2.4 Using the secondary temperature difference ( dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 108.035 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp .- Ls dT = 35.059 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 124.941 9.2.7 The Log Mean Temperature Difference is calculated:

LMTD : [(Tpin - F(Tpin (Tsout - Tsin)]

Tpout) -- Tsout)] LMTD 1 = 44.586 "n(Tpout- Tsin)-

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 .- U. Areare LMTD 2 = 44.557 9.2.9 The values are compared and the percent difference of the two values is determined:

[-LMTD 1 - LMTD 2)-1 PercentDifference :L MTI2 -].100 r = LMTD 2 H PercentDifference =0.064 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-0121 Rev. 1 Page: 47 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=170 Area:=686.5 U:=859.6 cp:= mp:=750000 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=70 Tsin:= 87 9.2.2 Selected SFP Heat Load:

Qsfp := 29.895106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs .- fP dTs = 23.916

• ms'Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 110.916 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dT .- dTp = 39.86 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 130.14 9.2.7 The Log Mean Temperature Difference is calculated:

[(Tpin - Tpout) - (Tsout - Tsin)]

LMTD1 "- (Tpin - Tsout)- LMTD1 = 50.695 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsip LMTD2 "U.Area LMTD 2 = 50.66 9.2.9 The values are compared and the percent difference of the two values is determined:

[L PercentDifference :=- (LT-LMTD 2 T)100 PercentDifference = 0.07 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 48 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Coolng System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 175 Area := 686.5 U:= 859.6 c =1 n:=

p 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=70 Tsin:=87 9.2.2 Selected SFP Heat Load:

Qsfp := 31.696106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs . dTs = 25.357 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 112.357 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .- dT = 42.261

...A*Cpý 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 132.739 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 := i{Tin Tsm21 LMTD 1 = 53.749 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 UArea LMTD 2 = 53.712 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference PercentDifference =

-=

L(LMTD LMTD - LMTD 2 )1 0.069 LMTD 2

22) 100 j

Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 49 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design inputs:

Tpin :=180 Area := 686.5 U:= 859.6 c := 1 mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=70 Tsin:=87 9.2.2 Selected SFP Heat Load:

Qsfp := 33.4971-06 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := dTs = 26.798 mns. Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 113.798 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .: dT = 44.663 mp.cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 135.337 9.2.7 The Log Mean Temperature Difference is calculated:

(Tpin- Tpout) - (Tsout - Tsin)]

LMTD 1  : (Tpi.n_Tso,] LMTD1 = 56.802

-(Tpout - Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD2 .- U.Area e LMTD 2 = 56.763 9.2.9 The values are compared and the percent difference of the two values is determined:

LMTD - LMTD2 )1 PercentDifference :: LMT 2 "100 PercentDifference = 0.069 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rexv. 1 Page: 50 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 190 Area := 686.5 U:= 859.6 cp := 1 nm:= 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt:=70 Tsin:=87 9.2.2 Selected SFP Heat Load:

Qsfp := 37.099106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsfp dTs := -t dTs = 29.679 nis-9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 116.679 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Osfp dTp . -2 dT = 49.465 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 140.535 9.2.7 The Log Mean Temperature Difference is calculated:

I(Tpin - Tpout) - (Tsout - Tsin)]

LMTD 1 n- (Tpin__-[

- -TT--in 1 LMTD 1 = 62.91

-(pout -Ti) 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 .- LMTD 2 = 62.867 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

LMTD, - LMTD )1 PercentDifference := _ LMTD 2 ].100 PercentDifference = 0.068 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 51 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin:=150 Area:= 686.5 U:= 859.6 cp:= 1 np := 750000 ms :=1250000 9.2.1 Determination of Secondary Inlet Temperature 75 Twbt:= Tsin := 88.8 9.2.2 Selected SFP Heat Load:

Qsfp := 22.044106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

.Qsfp dTs := Q - dTs = 17.635 nis.- cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout := dTs + Tsin Tsout = 106.435 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .:= dT = 29.392 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin -dTp Tpout = 120.608 9.2.7 The Log Mean Temperature Difference is calculated:

[(Tpin - Tpout) - (Tsout - Tsin)]

LMTDI := Ir- (Tn- Tsout)_ln ] LMTD1 = 37.379 L (TPOut - Tsin)J 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD 2 .- LMTD 2 = 37.355 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference ::= - LM 12.100 r = LMTD2 H PercentDifference =0.062 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 52 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin :=160 Area := 686.5 U:=859.6 cp :=1 mI := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature 75 Twbt := Tsin := 88.8 9.2.2 Selected SFP Heat Load:

Qsfp := 25.645106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dTs := dTs = 20.516 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 109.316 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp .- dTp = 34.193 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout :=Tpin- dTp Tpout = 125.807 9.2.7 The Log Mean Temperature Difference is calculated:

LMD: (TPin - Tpout) - (Tsout - Tsin)"]

LMTDI(Tpin - Tsout)- LMTD 1 = 43.487 pout -: Ts--in) 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 U.- e U-Area LMTD 2 = 43.458 9.2.9 The values are compared and the percent difference of the two values is determined:

-LMTD - LMTD 2)1 PercentDifference := 100 r =LMTD 2 H PercentDifference =0.069 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 53 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 170 Area := 686.5 U:= 859.6 cp := 1 mp := 750000 mn := 1250000 9.2.1 Determination of Secondary Inlet Temperature 75 Twbt := Tsin := 88.8 9.2.2 Selected SFP Heat Load:

Qsfp := 29.247106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qsf*

dTs .- dTs = 23.398 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 112.198 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dTp . s- dTp = 38.996 inp *cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 131.004 9.2.7 The Log Mean Temperature Difference is calculated:

[(Tpin - Tpout) - (Tsout - Tsin)]

LMTD1 In (Tpin Tsout)- LMTD 1 =49.595 rP(Tpout - Tsin)j 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

Qsfp LMTD2 U.Area LMTD 2 = 49.561 9.2.9 The values are compared and the percent difference of the two values is determined:

PercentDifference =-

[(LLMTD 2 2 *100 J

PercentDifference = 0.068 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 54 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 175 Area := 686.5 U:= 859.6 C=1 mp := 750000 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt := 7 5 Tsin := 88.8 9.2.2 Selected SFP Heat Load:

Qsfp := 31.048106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dT:Qsp dTs = 24.838 ns- cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

T s o ut := dTs + Tsin Tsout = 113.638 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

dT p := 2dT = 41.397 mp-cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 133.603 9.2.7 The Log Mean Temperature Difference is calculated:

LMTDLMTD1 Tpout) LMTD = 52.649

= (Tpin - [--(Tpin' -- Tsout (Tsout)],L

- Tsin)] T 1=5 .4 1 -sin)].

(Tpout 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 .- Area LMTD 2 = 52.613 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

- LMTD )1 PercentDifference :=

L( LMtD

- LMTD, LMTD2)] 100 2 j PercentDifference = 0.067 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-60121 Rev. 1 Page: 55 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Dr.sign Inputs:

Tpin := 180 Area:= 686.5 U:= 859.6 c =1 n:=

p 750000 nm := 1250000 9.2.1 Determination of Secondary Wnlet Temperature Twbt :=75 Tsin:=88.8 9.2.2 Selected SFP Heat Load:

Qsfp := 32.849106 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

Qslb dTs - dTs = 26.279 ms'Cp 9.2.4 Using the secondary temperature difference ( dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 115.079 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp dTp . 2-L dT = 43.799 mp.cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin- dTp Tpout = 136.201 9.2.7 The Log Mean Temperature Difference is calculated:

LMTD 1 I(Tpin - Tpout)

(Tpin.-- (Tsout.

Tsout)T - Tsin)] LMTD 1 = 55.703 9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD2 U.-Area e LMTD 2 = 55.665 U-9.2.9 The values are compared and the percent difference of the two values is determined:

L(

PercentDifference '-LMTD1 - LMTD2:

LMTD 2 J 100 PercentDifference = 0.067 Selected Heat Load is Acceptable

Calculation No. IF-CALC-10-00121 Rev. 1 Page: 56 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability Design Inputs:

Tpin := 190 Area :=686.5 U:= 859.6 Cp := I mp := 750000 ms := 1250000 9.2.1 Determination of Secondary Inlet Temperature Twbt :=75 Tsin:=88.8 9.2.2 Selected SFP Heat Load:

Qsfp :=36.4510 9.2.3 Using the equation Q = m x cp x dT, the secondary side temperature difference is determined by rearranging the equation.

dT s.-t dTs = 29.161 ns.Cp 9.2.4 Using the secondary temperature difference (dTs = Tsout - Tsin) the outlet temperature can be determined.

Tsout :=dTs + Tsin Tsout = 117.961 9.2.5 Using the equation Q = m x cp x dT, the primary side temperature difference is determined by rearranging the equation.

Qsfp" dTp .2-L dTpP = 48.601 nmp.Cp 9.2.6 Using the primary temperature difference ( dTp = Tpin - Tpou) the outlet temperature can be determined.

Tpout := Tpin - dTp Tpout = 141.399 9.2.7 The Log Mean Temperature Difference is calculated:

P(pin - Tpout) - (Tsout - Tsin)]

LMTD 1 := [ (Tpin - Tsout)1 LMTD 1 = 61.81 n(Tpout- Tsin)]

9.2.8 Rearranging the equation Q = U x A x LMTD, the Log Mean Temperature Difference is calculated:

LMTD 2 .- LMTD 2 = 61.769 U.Area 9.2.9 The values are compared and the percent difference of the two values is determined:

LM4TD 1 - LMTD )1 TLMTD22)

PercentDifference =

L(0LMTD 2 j" 100 PercentDifference = 0.066 Selected Heat Load is Acceptable

Calculation No. IP-CALC-10-00121 Rtv. 1 Page: 57 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 11.0 References 11.1 APV Plate Heat Exchanger Data Sheet E2449 11.2 Wang, L., Bengt Sunden, and R.M. Manglik. Plate Heat Exchangers:

Design, Applications, and Performance.

11.3 IP3-DBD-308, Attachment A 11.4 Cengel, Yunus A. Heat and Mass Transfer: A PracticalApproach. 3rd ed.

11.5 EVAPCO AT 12-724B Performance Curve

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 58 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.0 Attachments 12.1 LMTD Method (1 Page)

The temperature difference between the two streams will vary widely. This is why the log-mean temperature difference is used. Here is how the log-mean temperature difference works:

Tp,in C.

E Tp,out Ts,in Tsout Q, Heat Movement So, for a heat exchanger as described above, we calculate the LMTD as follows:

Ts,in Tp,in Secondary Primary (Cold) Inlet (Hot) Inlet Tp,out Ts,out Primary Secondary (Hot) Outlet (Cold) Outlet ATLMT ATGAT hAT,-T 2 (AT2)

Where, AT,=Tp,,f- Ts,o A T 2 = Tpo,-Ts

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 59 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.2 APV Plate Heat Exchanger Data Sheet E2449 (1 Page)

Dif~ ~ ~Cftaikf 0!

flrrý Plato fa EhabAg~r SjeCgiaaf t Totali 0ýPlaestvawrnuft 'ThzaW AjatC4 Hot& Sidi, P16 ,Arx e4wz~at% '

plate6 KMciial.........O7-ur StAi*16i Seazoo MZSZ 2.6 Dtmneor (EtSL mi 0*0'0'a o Abi60O Deii1)

Te~t(2(2 0' OWiIe Floe Remaks. MOD~t R9ý MS102 TRAMS SIZE 2 Cofltrcr1ONS. 1~ ýS;,

53,- 130* ANSI, aS TAP-aOtM FLANGED

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 60 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.3 EVAPCO AT 12-724B Performance Curve (1 Page)

ý'EVAPCO. AT,12-724B Perfomanice Curve

.serial Number 992742 New York Power Authority,

...I:: Desl~rt Conditdis* - * *

• O IE* I.

95 ~,1168.8de'gFH'otwater /2Ogm U-E: l

• =

85: =

90

.. .. L*

E '_ .  :::!.=-  ! T . .

40 45. 50. .55. 60 ,65 70 :75 M.et Bulb Temp "degF)

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 61 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.4 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 150 'F (1 Page)

Heat Removal Capability vs. Wet Bulb Temperature

- Linear (SFP Bulk Temp of 150 F) 2.8E+07 2.7E+07 2.6E+07 2.5E+07 2.4E+07 2.3E+07 2.2E+07 2.1 E+07 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 Wet Bulb Temperature [F]

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 62 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.5 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 160 'F (1 Page)

Heat Removal Capability vs. Wet Bulb Temperature Linear (SFP Bulk Temp of 160 F) 3.2E+07 3.1 E+07 "

3.OE+07

• 2.9E+07

" 2.8E+07 2.7E+07 2.6E+07 -

2.5E+07 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 Wet Bulb Temperature [F]

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 63 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.6 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 170 'F (1 Page)

Heat Removal Capability vs. Wet Bulb Temperature Linear (SFP Bulk Temp of 170 F) 3.5E+07 3.4E+07 3.3E+07 0 3.2E+07 3.1E+07 '

3.1E+07 2.9E+07 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 Wet Bulb Temperature [F]

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 64 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.7 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 175 'F (1 Page)

Heat Removal Capability vs. Wet Bulb Temperature Linear (SFP Bulk Temp of 175 F) 3.7E+07 3.6E+07 3.5E+07 I.-

"3 3.4E+07 1 3.3E+07 3.2E+07 3.1E+07 3.OE+07 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 Wet Bulb Temperature [F]

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 65 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.8 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 180 'F (1 Page)

Heat Removal Capability vs. Wet Bulb Temperature

-- Linear (SFP Bulk Temp of 180 F) 3.9E+07 3.8E+07 3.7E+07

• 3.6E+07

• 3.5E+07 CD 3.4E+07-3.3E+07 -

3.2E+07 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 Wet Bulb Temperature [F]

Calculation No. IP-CALC-10-00121 Rev. 1 Page: 66 of 66 Indian Point Unit 3

Title:

Backup Spent Fuel Pool Cooling System (BSFPCS) Heat Removal Capability 12.9 Heat Removal Capability vs. Wet Bulb Temperature for SFP Bulk Temperature of 190 'F (1 Page)

Heat Removal Capability vs. Wet Bulb Temperature Linear (SFP Bulk Temp of 190 F) 4.2E+07 4.1E+07 4.OE+07 D 3.9E+07 3.8E+07 3.7E+07 3.6E+07 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 Wet Bulb Temperature [F]