Hydraulic Radius of a Trapezoidal Channel (Equal Side Slopes)

Hydraulic radius, abbreviated as \(r_h\), is the cross section area of water in a pipe or channel divided by the wetting perimeter.

Hydraulic Radius of a Trapezoidal Channel (Equal Side Slopes) formula

\(\large{ r_h =  \frac  {  h  \left( b + z h \right) }  { b + 2h  \sqrt { 1 + z^2 }  }   }\)

Where:

\(\large{ r_h }\) = hydraulic radius

\(\large{ b }\) = bottom width of fluid

\(\large{ h }\) = depth of fluid

\(\large{ z }\) = width of channel slope