EPM-GL-PI-CLC-0003 - Rev 0 - PSV Reaction Force Calculation [PDF]

Zitiervorschau

 

E&PM - GLOBAL   PSV Reaction Force Calculation   EPM-GL-PI-CLC-0003 Rev 0  

Penspen Limited 32 Permpoom Building, Soi Sukhumvit 87, Phrakanong Bangkok 10260, Thailand

PSV Reaction Force Calculation EPM-GL-PI-CLC-0003 Rev 0

© Copyright Penspen 2019. All rights reserved

All data and information contained herein confidential and the property of Penspen.  The data and information contained herein may not be reproduced, published or distributed to, or for, any third parties without the express prior written consent of Penspen. Document Approval Document Owner

E&PM - GLOBAL

Name

Title

Signature

Date

Prepared By:

G.Hariharan

Sr. Stress Engineer

11.10.2019

Checked By:

S.Destagir

Sr. Stress Engineer

18.10.2019

Approved By:

K.Panchal

Piping Discipline Technical Authority

21.10.2019

Revision and Change Control History Revision

Date

No. of Pages

Summary of Changes

0

21.10.2019

5

First Issue

Page 2 of 5

PSV Reaction Force Calculation - Open-Gas Doc. No. Client Line No.

VALVE NUMBER : Nomenclature: A Ac At N Ps P1 Pt T g Ro W1 Wm W M R g DLF

Project No. Stress Calc no.

Established Flow Condition = Selected Orifice Area (See Table 1) Ref: Orifice Letter: D = Calculated Orifice Area (From Data Sht.) = Flow area of tail pipe at tip = Number of Working Valves = Set Pressure = barg 29 ) + 1 bar = Pressure at Tip = (Ps x A)/(Ro x At) = Pressure at Tip is greater of 1 or P1 = Relief Temperature = °C81.7 ) + 273.1 = Ratio of Specific Heats = Cp/Cv (See table 2) = Discharge Rate (From Data Sht.) = Maximum Disch. Rate / Valve = W1 . A N. Ac = Maximum Disch. Rate / Valve = Wm 3600 = Molecular Weight = Gas Constant = 8.314 M = Acceleration due to Gravity = Dynamic Load Factor

=

71

mm²

= = = = = = = = = = =

968 18646 1 29.61 0.07 1.00 354.85 1.13 1.711 30280 2222

mm² mm²

=

0.62

Kg/s

= =

43.3 0.19

kJ/kg°K

=

9.81 2

2F4 F2

F1

bara bara bara K

F1

2F1

Kg/hr Kg/hr

Total Vertical Force At Elbow = 2(F1 + F4) = F5 Assuming an Impact factor of 2 Horizontal Forces are Balanced At RV. Pop Condition F2

m/s²

F3

Table 1 Size

"A" Orifice Area (mm²)

Size

71 126

D E

830 1186

J K

4116 7129

P Q

198 325 506

F G H

1841 2323 2800

L M N

10323 16774

R T

"A" Orifice Area (mm²)

"A" Orifice Size Area (mm²)

F3 = 2F1

With Impact factor of 2 Table 2 g 1.1 1.2 1.3 1.4 1.5 1.6 Ro 1.71 1.77 1.83 1.89 2 2

Formulae F1 =

129 W 1000

g´ T

=

( g + 1) M

129 x 0.62 1000

1.13 x 354.85 (1.13+1) x 43.3

0.62² x 0.2 x 354.85 0.1 x 29.61324 x 71

=

0.166

kN

=

0.123

kN

F2 = W² R T 0.1xPs A

=

F3 = 2 x F1 (DLF)

=

2 x 0.2

=

0.332

kN

F4 = 0.1(Pt-1)At/10³

=

0.1(1 - 1) x 18645.9/10³

=

0.000

kN

Total Vert. Force At Elb

=

2(F1 + F4)

=

0.332

kN

= F5

Manual Input Constants Calculated Result Final result

474976050.xlsx

Page 3 of 5

PSV Reaction Force Calculation - Close - Gas Doc. No. Client Line No.

Project No. Stress Calc no.

VALVE NUMBER : Nomenclature:

Established Flow Condition F2

A

= Selected Orifice Area (See Table 1) = Ref: Orifice Letter: G = Calculated Orifice Area (From Data Sht.) = = Number of Working Valves = = Set Pressure in "bara" = = Set Pressure in barg17.7 ) + 1 bar = Absolute Relief Temperature = = Relief Temperature in °C (205 ) + 273.15K = Ratio of Specific Heats = Cp/Cv =

Ac N Ps T g W1 Wm

325

mm²

325 1 18.70

mm²

1.078 4097 4097

Kg/hr Kg/hr

=

1.14

Kg/s

M

=

45.78

R

= Gas Constant =

=

0.18

kJ/kg°K m/s²

=

9.81 2

g DLF

= Acceleration due to Gravity = Dynamic Load Factor

F1

477.85 K

= =

8.314 M

F1

bara

= Discharge Rate (From Data Sht.) = Maximum Disch. Rate / Valve = W1 . A N. Ac = Maximum Disch. Rate / Valve = Wm 3600 = Molecular Weight

W

F1

F1

Only F2 is Effective, as other forces are balanced. At RV. Pop Condition

F2

F3

Table 1 "A" Orifice Area (mm²) 71 126 198 325 506

Size "A" Orifice Area Size "A" Orifice Size (mm²) Area (mm²) D 830 J 4116 P E 1186 K 7129 Q F 1841 L 10323 R G 2323 M 16774 ### H 2800 N

F3 = 2F1

With Impact factor of 2

Formulae F1 =

129 W 1000

g´ T

( g + 1) M

= 129 x 1.14 1000

F2 = W² R T 0.1xPs A

=

F3 = 2 x F1 (DLF)

=

1.078 x 477.85 (1.078+1) x 45.78

1.14² x 0.2 x 477.85 0.1 x 18.7 x 325

2 x 0.3

=

0.342

kN

=

0.185

kN

=

0.683

kN

Manual Input Constants Calculated Result Final result

474976050.xlsx

Page 4 of 5

PSV Reaction Force Calculation - Close Liquid Doc. No.

Project No.

Client Line No.

Stress Calc no.

VALVE NUMBER : Nomenclature:

Established Flow Condition F2

A

= Selected Orifice Area (See Table 1) Ref: Orifice Letter: D Relief based on liquid flow. Liquid SG Hence:

F1

mm² F1

= =

Density

Liquid Velocity in orifice

=

71

F1

(1" NB outlet)

Liquid Flow rate

g DLF

=

0.508 508

kg/m³

Wm W

= = =

27.5784 kg/hr 0.00766 kg/s 1.51E-05 m³/s

Vo

=

0.2124 m/s

Acceleration due to Gravity Dynamic Load Factor

9.81 2

=

F1

Only F2 is Effective, as other forces are balanced. At RV. Pop Condition

F2

m/s² F3

Table 1 Size

"A" Orifice Area (mm²) 71 126 198 325 506

D E F G H

"A" Orifice Area (mm²) 830 1186 1841 2323 2800

Size "A" Orifice Area Size (mm²) J 4116 P K 7129 Q L 10323 R M 16774 T N

F3 = 2F1

With Impact factor of 2

Force = mass flow rate x velocity /g F2

=

W x Vo

= 0.212 x 0.008

=

0.002

N

F3

=

2 x F2 (DLF)

= 2 x 0.002

=

0.004

N

Hence Imposed loads are negligable: use 50 N

Manual Input Constants Calculated Result Final result

474976050.xlsx

Page 5 of 5