Modeling Relief Valve (Pressure Safety Valve) Thrust force

Start-Prof can estimate the support loads and stresses caused by relief valve discharge by static method.

The relief valve discharge thrust load acts on elbow 28. In Start-Prof it should be applied at the end of the elbow in 29 node.

Download this piping model file. See how to open the piping model fileOpens in a new tab.

There’s a two methods to estimate the dynamic equivalent thrust force F:

  • ASME B31.1 method
  • Direct calculation of V1 и P1 by special software like HydrosystemOpens in a new tab.

ASME B31.1 Method

Equivalent dynamic thrust force can be estimated by equation:
F = DLF ∙ F1
where
DLF – dynamic load factor, depend on first natural period of piping. If period is unknown the DLF=2.0.

F1 – static reaction force, kgf. May be computed by the following equation:

where
W – mass flow rate (relieving capacity stamped on the valve by 1.11), kg/sec
gc=9.81 m/sec² – gravitational constant,
Pa – atmospheric pressure, kgf/sm²
A1 – exit flow area, sm²  A1=p(D-2t)²/4
V1 – exit velocity (node  36), m/sec

P1 – static pressure, kgf/sm²

h0 – stagnation enthalpy at the safety valve inletMJ/kg
J = 101970.408 m*kgf/MJ
a, b – constants according to table below

Steam Conditiona, MJ/kgb
Wet steam

<90% quality

0.676911
Saturated steam

≥90%  quality

1.05 kgf/sm² ≤ P1 ≤ 70.31 kgf/sm²

1.91434.33
Superheated steam

≥90%  quality

0.07 kgf/sm² ≤ P1 ≤ 140.61 kgf/sm²

1.932914.33

Example

Example project file: ReliefValve.ctp. See how to open the piping model fileOpens in a new tab.

Input data:

  • Diameter of discharge pipe: 21.9 sm

  • Wall thickness of discharge pipe: 1.6 sm

  • product: Saturated steam

  • relief valve relieving capacity: 48 kg/sec

  • Steam pressure: 64 kgf/sm²

  • Steam temperature: 538°C

Calculation:

A1=p(D-2t)²/4 = 3.14159(21.9-2∙1.6)²/4 = 274.65 sm²
a = 1,9143 MJ/kg
b = 4.33
W = 48∙1.11 = 53.28 kg/sec
stagnation enthalpy for steam at 70 kgf/sm² and 538°C h0 =  3,506 MJ/kg
P1=53.28/274.65*(4.33-1)/4.33*(2*(3.506-1.9143)*101970.408/(2*4.33-1)/9.81)^0.5 = 9.8 kgf/sm²
V(2*9.81*101970.408*(3.506-1.9143)/(2*4.33-1))^0.5 = 644.77 m/sec
F1 = 53.28*644.77/9.81 + (9.8-1)*274.65 = 5919 kgf
F = DLF ∙ F1 = 2*5919 = 11838 kgf

Create additional occasional force loading 1.1 in operation mode editor:

If we have more relief valves, then we should add more additional modes (1.2, 1.3, etc.) if it’s open not simultaneously.

Apply dynamic thrust force at node 29 for mode 1.1:

Support loads due to relief valve thrust load:

Stresses due to relief valve thrust load:

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Alex Matveev

Alex Matveev is one of the authors of pipe stress analysis codes GOST 32388-2013 Process Piping, and GOST 55596-2013 District Heating Networks. He is also one of the developers of PASS/Start-Prof software, which is developed since 1965 and used in 95% of process, power, district heating, gas and oil transportation design companies in Russia and CIS countries; it is industry standard in that region. He is the head of the PASS/START-PROF pipe stress analysis software development team. Also, He offers technical support and training for users of their software that number already 3000+, developing since 1965, industry standard in several countries for 50+ years, translated into English in 2017, come out from their domestic market, and started sales for the international market since 2018.

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