Water Hammer Maximum Surge Pressure for Fluid

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Water Hammer Maximum Surge Pressure for Fluid Formula

\(\large{  p_{spf}  =  \frac { \alpha \; \Delta v_f \; \gamma_f  }   { 144\; g  }  }\)   

Where:

 Units English Metric
\(\large{ p_{spf} }\) = maximum surge pressure for fluid \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ \Delta v }\) = fluid velocity change \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ g }\) = gravitational acceleration \(\large{\frac{ft}{sec^2}}\) \(\large{\frac{m}{s^2}}\)
\(\large{ \alpha }\)  (Greek symbol alpha) = pressure wave velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{  \gamma_f } \)  (Greek symbol gamma) = unit weight of fluid \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{N}{m^3}}\)

Solve for:

\(\large{  \Delta v_f  =  \frac { 144 \; p_{spf} \;g  }   { \alpha \; \gamma_f }   }\)   
\(\large{  \gamma_f  =  \frac { 144\;  p_{spf}\; g  }   { \alpha \; \Delta v_f  }   }\)   
\(\large{  g  =  \frac { \alpha \; \Delta v_f  \;\gamma_f   }   { 144\; p_{spf}  }  }\)   
\(\large{  \alpha  =  \frac { 144 \; p_{spf} \;g  }   { \Delta v_f \; \gamma_f }   }\)  

 

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Tags: Pressure Equations Water Hammer Equations