Maximum Pressure Surge Generated by Instantaneous Valve Shutoff - Maple Help
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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

 

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restart:withUnitsStandard:

Parameters

Fluid density:

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ρ≔62 lb ft−3:

Fluid velocity change:

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Δv≔14.10 m s−1:

Bulk modulus of fluid:

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K≔2⋅108 Pa:

Young's modulus of pipe:

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E≔7⋅1010 Pa:

Pipe wall thickness:

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 t≔0.001 m:

Intermediate Calculations

Effective bulk modulus:

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Ke≔PipeID→K1+PipeIDm ⋅Kt⋅E:

Speed of sound:

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c≔PipeID→KePipeIDρ12:

Maximum pressure surge:

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ΔP≔PipeID→ρ⋅cPipeID⋅Δv:

Results

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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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