Hydraulic Radius of a Trapezoidal Channel (Unequal Side Slopes)

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

hydraulic radius of a trapezoid US 2Hydraulic 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 (Unequal Side Slopes) formula

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

Where:

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

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

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

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

\(\large{ w }\) = top width of fluid

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

 

Tags: Equations for Hydraulic