Maximum Pressure Surge Generated by Instantaneous Valve Shutoff
Introduction
This application calculates the excess pressure generated by water hammer when a valve at the end of a pipeline instantaneously closes
restart:withUnitsStandard:
Parameters
Fluid density:
ρ≔62 lb ft−3:
Fluid velocity change:
Δv≔14.10 m s−1:
Bulk modulus of fluid:
K≔2⋅108 Pa:
Young's modulus of pipe:
E≔7⋅1010 Pa:
Pipe wall thickness:
t≔0.001 m:
Intermediate Calculations
Effective bulk modulus:
Ke≔PipeID→K1+PipeIDm ⋅Kt⋅E:
Speed of sound:
c≔PipeID→KePipeIDρ12:
Maximum pressure surge:
ΔP≔PipeID→ρ⋅cPipeID⋅Δv:
Results
plotΔPPipeID,PipeID=0.1..0.2,labels=Pipe ID (m),Excess Pressure (Pa),labeldirections=horizontal,vertical,labelfont=Calibri,title=Magnitude of Pressure Surge Due to Valve Closure,titlefont=Calibri,14,size=600,400,axesfont=Calibri,axis1=gridlines=linestyle=dot,axis2=gridlines=linestyle=dot,color=ColorTools:-ColorRGB,0/255,79/255,121/255
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