Tube Rupture (Two Phase - API App-D Method)

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Tube Rupture Relief Rate Calculation (Two Phase - based on API 520 section D.2.1 A1) Input Data HP Side Vapor Mass fraction HP Side Vapor Mass Density HP Side Liquid Mass Density HP Side Latent Heat of Vaporization (hvl) HP Side Liquid Specific Heat HP Side Operating Pressure LP Side PSV Set Pressure HP Side Operating Temperature Exchanger Tube Length Exchanger Tube Inside Diameter

---lb/ft3 lb/ft3 btu/lb btu/lbR psig psig R in in

0.1000 1.33 49.54 728.3 1.17 600.00 200.00 948.80 192.00 0.7320

lb/ft3 lb/ft3 psia psia

psia ---psia in2 lb/hr in2 lb/hr

0.7306 44.7183 614.70 214.70 8.25 0.0011 0.834 512.42 Critical 512.42 0.421 81795.5 34405

lb/hr in2 lb/hr lb/hr

0.983 0.480 -0.4980 0.02470 47066.7 19797 54202

A1: Rvl = 1/ Rl - 1/Rv Ro = Xv Rv + (1-Xv) Rl HP Side Operating Pressure (Po) LP Side Design Pressure (Pb) ω (from equation D.1) set to zero ηc = Pc/P Critical Pressure (Pc) Flow Regime used Pb Tube Discharge Area Mass Flux Rate Through Tubesheet (G1) Mass Flow Rate Through Tubesheet Itration on η1 η2 delta (set to zero by changing η1) firiction factor f = 1/ (44.137+ 11.691 ln di) Mass Flow Rate Through Tube (G2) Mass Flow Rate Through Tube Total Flow Rate Throubh Breakage

General Notes

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Tube Rupture Relief Rate Calculation (Two Phase - based on API 520 section D.2.1 A2) Input Data HP Side Vapor Mass fraction HP Side Vapor Mass Density HP Side Liquid Mass Density HP Side Vapor Mass fraction @ 90% Pop HPS HP Side Vapor Mass Density @ 90% Pop HPS HP Side Liquid Mass Density @ 90% Pop HPS HP Side Operating Pressure LP Side PSV Set Pressure Exchanger Tube Length Exchanger Tube Inside Diameter

--lb/ft3 lb/ft3 % lb/ft3 lb/ft3 psig psig in in

0.2000 1.33 20.10 0.9000 1.20 16.75 66.00 15.00 192.00 0.7320

lb/ft3 lb/ft3 psia psia

psia ---psia in2 lb/hr in2 lb/hr

2.7550 16.3464 80.70 29.70 44.400 0.0012 0.931 75.16 Critical 75.16 0.421 8629.7 3630

lb/hr in2 lb/hr lb/hr

0.957 0.919 6.4331 0.02470 8513.3 3581 7211

A2 : R9 = Xv9 Rv + (1-Xv9) Rl Ro = Xv Rv + (1-Xv) Rl HP Side Operating Pressure (Po) LP Side Design Pressure (Pb) ω (from equation D.3) set to zero ηc = Pc/P Critical Pressure (Pc) Flow Regime used Pb Tube Discharge Area Mass Flux Rate Through Tubesheet (G1) Mass Flow Rate Through Tubesheet Itration on η1 η2 delta (set to zero by changing η1) firiction factor f = 1/ (44.137+ 11.691 ln di) Mass Flow Rate Through Tube (G2) Mass Flow Rate Through Tube Total Flow Rate Throubh Breakage

General Notes

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Tube Rupture Relief Rate Calculation (Two Phase - based on API 520 section D.2.1 A3) Input Data HP Side Vapor Mass fraction HP Side Vapor Mass Density HP Side Liquid Mass Density HP Side Vapor Specific Heat Ratio HP Side Operating Pressure LP Side PSV Set Pressure Exchanger Tube Length Exchanger Tube Inside Diameter

--lb/ft3 lb/ft3 ---psig psig in in

0.1000 6.58 61.15 1.00 558.25 101.50 192.00 1.0000

lb/ft3 psia psia

psia ---psia in2 lb/hr in2 lb/hr

55.6951 572.95 116.20 0.85 0.0011 0.584 334.84 Critical 334.84 0.785 192950.9 151466

lb/hr in2 lb/hr lb/hr

0.851 0.452 3.2214 0.02266 149362.9 117250 268716

A3 : Ro = Xv Rv + (1-Xv) Rl HP Side Operating Pressure (Po) LP Side Design Pressure (Pb) ω (from equation D.4) set to zero ηc = Pc/P Critical Pressure (Pc) Flow Regime used Pb Tube Discharge Area Mass Flux Rate Through Tubesheet (G1) Mass Flow Rate Through Tubesheet Itration on η1 η2 delta (set to zero by changing η1) firiction factor f = 1/ (44.137+ 11.691 ln di) Mass Flow Rate Through Tube (G2) Mass Flow Rate Through Tube Total Flow Rate Throubh Breakage

General Notes

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Tube Rupture Relief Rate Calculation (Two Phase - based on API 520 section D.2.2 A1) Input Data HP Side Operating Temperature HP Side Liquid Saturatin Pressure (Ps) HP Side Liquid Mass Density @ Ps HP Side Vapor Mass Density @ Ps HP Side Liquid Mass Density HP Side Latent Heat of Vaporization (hvl) @ Ps HP Side Liquid Specific Heat HP Side Operating Pressure LP Side PSV Set Pressure Exchanger Tube Length Exchanger Tube Inside Diameter

R psia lb/ft3 lb/ft3 lb/ft3 btu/lb btu/lbR psig psig in in

520.00 107.6 31.64 1.00 31.92 152.3 0.64 286.00 10.00 192.00 0.7320

lb/ft3 psia psia ---------------psia ------psia lb/hr in2 in2 lb/hr

0.9684 300.70 24.70 8.50 0.944

A1: Rvl = 1/ Rl - 1/Rv HP Side Operating Pressure (Po) LP Side Design Pressure (Pb) ωs (from equation D.8) ηst Subcooling Region ηs = Ps/Po ηc from Figure D3 (for low subcooling only) Critical Pressure (Pc) Flow Regime used η as per type of flow regime used P as per type of flow regime Mass Flux Rate Through Tubesheet (G1) Tube Discharge Area Mass Flow Rate Through Tubesheet Itration on η1 η2 delta (set to zero by changing η1) firiction factor f = 1/ (44.137+ 11.691 ln di) Mass Flow Rate Through Tube (G2) Mass Flow Rate Through Tube Total Flow Rate Throubh Breakage

General Notes

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lb/hr in2 lb/hr lb/hr

High Subcooling

0.36 0.300 90.21 Critical 0.30 107.600 189012 0.421 79502 0.983 0.491 -0.0422 0.02470 28060 11803 91305

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Tube Rupture Relief Rate Calculation (Two Phase - based on API 520 section D.2.2 A2) Input Data HP Side Operating Temperature HP Side Liquid Saturatin Pressure (Ps) HP Side Vapor Mass fraction @ 90% Ps HP Side Liquid Mass Density @ 90% Ps HP Side Vapor Mass Density @ 90% Ps HP Side Liquid Mass Density HP Side Operating Pressure LP Side PSV Set Pressure Exchanger Tube Length Exchanger Tube Inside Diameter

R psia --lb/ft3 lb/ft3 lb/ft3 psig psig in in

600.00 171.80 0.1050 33.18 1.65 32.74 286.00 10.00 192.00 0.7320

lb/ft3 psia psia

29.8719 300.70 24.70 0.86 0.633

A1: R9 = Xv9 Rv9 + (1 - Xv9) Rl9 HP Side Operating Pressure (Po) LP Side Design Pressure (Pb) ωs (from equation D.9) ηst Subcooling Region ηs = Ps/Po ηc from Figure D3 (for low subcooling only) Critical Pressure (Pc) Flow Regime used η as per type of flow regime used P as per type of flow regime Mass Flux Rate Through Tubesheet (G1) Tube Discharge Area Mass Flow Rate Through Tubesheet Itration on η1 η2 delta (set to zero by changing η1) firiction factor f = 1/ (44.137+ 11.691 ln di) Mass Flow Rate Through Tube (G2) Mass Flow Rate Through Tube Total Flow Rate Throubh Breakage

General Notes

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High Subcooling

psia lb/hr in2 in2 lb/hr

0.57 0.300 90.21 Critical 0.30 171.800 156398 0.421 65785

lb/hr in2 lb/hr lb/hr

0.947 0.292 0.0412 0.02470 53002 22294 88078

psia ----