Water Hammer Upstream Pipe Length

on 01 March 2018. Posted in Fluid Dynamics

Water Hammer Upstream Pipe Length Formula
\(\large{ l = \frac{ \left( p_{inc} \;-\; p_i \; \right) \; t }{ 0.070 \; v } }\) (Water Hammer Upstream Pipe Length) \(\large{ p_{inc} = \frac{ 0.070 \; v \; l }{ t } \;+\; p_i }\) \(\large{ p_i = p_{inc} - \frac{ 0.070 \; v }{ t } \; l }\) \(\large{ t = \frac{ 0.070 \; v \; l }{ p_{inc} \;-\; p_i } }\) \(\large{ v = \frac{ t }{ 0.070 } \; \frac{ 1 }{ l \; \left( p_{inc} \;-\; p_i \; \right) } }\)
Symbol	English	Metric
\(\large{ l }\) = upstream pipe length	\(\large{ft}\)	\(\large{m}\)
\(\large{ p_{inc} }\) = pressure increase	\(\large{\frac{lbf}{in^2}}\)	\(\large{Pa}\)
\(\large{ p_i }\) = inlet pressure	\(\large{\frac{lbf}{in^2}}\)	\(\large{Pa}\)
\(\large{ t }\) = valve closing time	\(\large{sec}\)	\(\large{s}\)
\(\large{ v }\) = flow velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)

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Water Hammer Upstream Pipe Length Formula