Mean Depth

Mean 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 formulas

\(\large{ h_m =  \frac{ A_c }{ T }  }\)
\(\large{ h_m =  \frac{ v^2 }{ g \; Fr^2 }  }\)	(Froude number)

Where:

\(\large{ h_m }\) = mean depth

\(\large{ A_c }\) = area cross-section of flow

\(\large{ Fr }\) = Froude number

\(\large{ g }\) = gravitational acceleration

\(\large{ T }\) = top of water surface width

\(\large{ v }\) = velocity of flow

Solve for:

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