Hydraulic Radius of a Trapezoidal Channel (Equal Side Slopes) Formula |
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| \( r_h \;=\; \dfrac{ h \cdot ( b + z \cdot h ) }{ b + 2 \cdot h \cdot \sqrt { 1 + z_{1}{^2} } }\) | ||
| 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 | \(ft\) | \(m\) |
Hydraulic radius, abbreviated as \(r_h\), is the area cross-section of water in a pipe or channel divided by the wetting perimeter.
