Mean Depth

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

mean depthMean depth, abbreviated as \(h_m\), is the average water depth in a stream channel or conduit computed by dividing the cross-section area by the surface width.

 

Mean depth formula

\(\large{ h_m =  \frac{ A_c }{ T }  }\) 

\(\large{ h_m =  \frac{ v^2 }{ g \; Fr^2 }  }\) 

Symbol English Metric
\(\large{ h_m }\) = mean depth \(\large{ ft }\) \(\large{ m }\)
\(\large{ A_c }\) = area cross-section of flow \(\large{ ft^2 }\) \(\large{ m^2 }\)
\(\large{ Fr }\) = Froude number \(\large{ dimensionless }\)
\(\large{ g }\) = gravitational acceleration \(\large{ \frac{ft}{sec^2} }\) \(\large{ \frac{m}{s^2} }\)
\(\large{ T }\) = top of water surface width \(\large{ ft }\) \(\large{ m }\)
\(\large{ v }\) = velocity of flow \(\large{ \frac{ft}{sec} }\) \(\large{ \frac{m}{s} }\)

 

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Tags: Pipe Equations Hydraulic Equations