Hydraulic Radius of a Trapezoidal Channel (Unequal Side Slopes) Formula
|
| \( r_h \;=\; \dfrac{ \dfrac{h}{2} \cdot ( b + w ) }{ b + h \cdot ( \sqrt { 1 + z_{1}{^2} } + \sqrt{ 1 + z_{2}{^2} } \;) }\) |
| 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 |
\(ft\) |
\(m\) |
| \( g \) = gravitational acceleration |
\(ft\;/\;sec^2\) |
\(m\;/\;s^2\) |
| \( w \) = top width of fluid |
\(ft\) |
\(m\) |
| \( P_w \) = wetting perimeter |
\(ft\) |
\(m\) |
| \( z_1 \) = width of channel slope |
\(ft\) |
\(m\) |
| \( z_2 \) = width of channel slope |
\(ft\) |
\(m\) |
