Hydraulic Radius of a Triangular Channel

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

 

Hydraulic Radius of a Triangular Channel formulas

\(\large{ r_h =  \frac  {  A_c }  { P }   }\)
\(\large{ r_h =  \frac  {  z\;h^2 }  { 2\;h \; \sqrt  {1  \;+\;  z^2 } }   }\)

Where:

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

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

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

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

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

\(\large{ P }\) = wetted perimeter

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