Hazen-Williams Hydraulic Radius Formula |
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\( r_h \;=\; \left( \dfrac{ v }{ C \cdot 1.318 \cdot m^{0.54} } \right)^{1 / 0.63} \) (Hazen-Williams Hydraulic Radius) \( v \;=\; C \cdot 1.318 \cdot r_h^{0.63} \cdot m^{0.54} \) \( C \;=\; \dfrac{ v }{ 1.318 \cdot r_h^{0.63} \cdot m^{0.54} }\) \( m \;=\; \left( \dfrac{ v }{ C \cdot 1.318 \cdot r_h^{0.63} } \right)^{1 / 0.54} \) |
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| Symbol | English | Metric |
| \( r_h \) = Hydraulic Radius | \( ft \) | \( m \) |
| \( v \) = Mean Flow Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
| \( C \) = Hazen-Williams Coefficient, see below for Values | \( dimensionless \) | \(dimensionless\) |
| \( m \) = Hydraulic Grade Line Slope | \( dimensionless \) | \(dimensionless\) |
Hazen-Williams hydraulic radius is a term used in the Hazen-Williams equation for calculating the flow of water in a pipe. The hydraulic radius is a measure of the effective cross-sectional area available for flow relative to the wetted perimeter of the pipe. It's worth noting that the Hazen-Williams equation is an empirical formula and, while widely used for its simplicity, it may not provide the same level of accuracy as more complex hydraulic models in certain situations.
