Maximum Pressure Surge Generated by Instantaneous Valve Shutoff - Maple Programming 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

 

restart:withUnitsStandard:

Parameters

Fluid density:

ρ62 lb ft3:

Fluid velocity change:

Δv14.10 m s1:

Bulk modulus of fluid:

K2108 Pa:

Young's modulus of pipe:

E71010 Pa:

Pipe wall thickness:

 t0.001 m:

Intermediate Calculations

Effective bulk modulus:

KePipeIDK1+PipeIDm KtE:

Speed of sound:

cPipeIDKePipeIDρ12:

Maximum pressure surge:

ΔPPipeIDρcPipeIDΔv:

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