Hydraulic Radius of a Trapezoidal Channel (Equal Side Slopes)

on . Posted in Fluid Dynamics

hydraulic radius of a trapezoid ES 2Hydraulic 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 Trapezoidal Channel (Equal Side Slopes) formula

\( r_h =  \frac  {  h \; \left( b \;+\; z\; h \right) }  { b \;+\; 2\;h \; \sqrt { 1 \;+\; z_{1}{^2}  }  }   \) 
Symbol English Metric
\( r_h \) = hydraulic radius \(ft\) \(m\)
\( A_c \) = area cross-section of flow \(ft^2\) \(m^2\)
\( b \) = bottom width of fluid \(ft\) \(m\)
\( h \) = depth of fluid \(ft\) \(m\)
\( P_w \) = wetting perimeter \(ft\) \(m\)
\( z_1 \) = \(\large{ z_2 }\) = width of channel slope \(ft\) \(m\)

 

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Tags: Hydraulic Open Channel