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Reaction Force Calculation

The document contains calculations for reaction forces (F, F1, F2) of pressure safety valves using variables like flow rate, temperature, pressure, area, dynamic loading factor, specific heat ratio, molecular weight, velocity of sound, valve opening time and spool length. Charts are shown containing the calculated force values for 6-inch and 4-inch valves.

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Andrew Alex
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67 views8 pages

Reaction Force Calculation

The document contains calculations for reaction forces (F, F1, F2) of pressure safety valves using variables like flow rate, temperature, pressure, area, dynamic loading factor, specific heat ratio, molecular weight, velocity of sound, valve opening time and spool length. Charts are shown containing the calculated force values for 6-inch and 4-inch valves.

Uploaded by

Andrew Alex
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLS, PDF, TXT or read online on Scribd
You are on page 1/ 8

Sheet2

PSV Re

F=129W kT /( k +1) M+ AP/1000


F 1= FDLF

F 2=W DLFL /T

6"
Flow Rate W 11.1111111111
Temperature T 678
Pressure P 7480
Area of Outlet A 16820.0721164803
Dynamic Loading Factor DLF 2
Sp. Heat Ratio/ isentropic Exponent k 1.27969
Molecular Weight M 18.02
Velocity of Sound at medium Vs 598.511
Valve Opening Time T 1
Spool Length L 100

F= 6587.17
8291.47
F1=F*DLF F1= 13174.35
F2=W*DLF*L/T F2= 1111.11

Page 1
Sheet2

4"

Flow Rate W 0.4194444444


Temperature T 448
Pressure P 7480
Area of Outlet A 7417.2628701729
Dynamic Loading Factor(DLF) 2
Sp. Heat Ratio/ isentropic Exponent k 1.31141
Molecular Weight M 18.02
Velocity of Sound Vs 488.325
Valve Opening Time 1 sec
Spool Length

F1= 203.21535586
F1=F*DLF F1= 406.43071171

F2=W*DLF*spool
F2=
Length/Valve opening time

Page 2
Sheet2

PSV Reaction Force Calculation

F= WV
F 1= FDL

F 2=W DLF

kg/s Density
K Flow Rate
Kpa (g) Velocity of Sound at medium
mm2 Gas Const. for steam
Universal gas Const
Cp/Cv (From spiraxsarco.com)
Kg/Kmol http://www2.spiraxsarco.com/esc
m/s /sh_properties.aspx
sec
m

N without AP

with AP

F1=F*DLF

Page 3
Sheet2

kg/s
K
Kpa (g)
mm2

Cp/Cv
Kg/Kmol (From spiraxsarco.com)
m/s

F1=F*DLF

Page 4
Sheet2

= W Vs
= FDLF

=W DLFL /T

N
p 27.098 kg/m^3
W 11.11111 kg/s
Vs m/s
R 461.4018 J/kgK Vs= kP / Vs= kRT
Ru 8.31446 J/mol K
594.3395 m/s 632.7131

F= 6603.7718154

F1= 13207.543631

Page 5
Sheet2

p 39.973 kg/m^3
W 0.419444 kg/s

Vs
R
m/s
461.3762 J/kgK Vs= kP / Vs= kRT
495.378 m/s 520.638

F1= 249.29238603 N
F1= 498.58477207

Page 6
Sheet2

= kRT
m/s

Page 7
Sheet2

= kRT
m/s

Page 8

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