Water Hammer Gravitational Acceleration

on 29 October 2021. Posted in Fluid Dynamics

Water Hammer Gravitational Acceleration Formula
\(\large{ g = \frac { \alpha \; \Delta v } { h_{sf} } }\) (maximum surge pressure head) \(\large{ g = \frac{ \alpha \; \Delta v \;\gamma_f }{ 144 \;p_{sf} } }\) (maximum surge pressure for a fluid) \(\large{ g = \frac{ \alpha \; \Delta v}{ 2.31 \;p_{sw} } }\) (maximum surge pressure for a water)
Symbol	English	Metric
\(\large{ g }\) = gravitational acceleration	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{m}{s^2}}\)
\(\large{ \Delta v }\) = fluid velocity change	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{ p_{sf} }\) = maximum surge pressure for fluid	\(\large{\frac{lbf}{in^2}}\)	\(\large{Pa}\)
\(\large{ p_{sw} }\) = maximum surge pressure for water	\(\large{\frac{lbf}{in^2}}\)	\(\large{Pa}\)
\(\large{ h_{sf} }\) = maximum surge pressure head in length of fluid	\(\large{\frac{lbf}{in^2}}\)	\(\large{Pa}\)
\(\large{ \alpha }\) (Greek symbol alpha) = pressure wave velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{ \gamma_f } \) (Greek symbol gamma) = unit weight of fluid	\(\large{\frac{lbm}{ft^3}}\)	\(\large{\frac{N}{m^3}}\)

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Water Hammer Gravitational Acceleration Formula