Chezy Equation
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\( v \;=\; C \cdot \sqrt{ r_h \cdot m } \) (Chezy Equation) \( C \;=\; \dfrac{ v }{ \sqrt{ r_h \cdot m } } \) \( rh \;=\; \dfrac{1 }{ m} \cdot \left(\dfrac{ v }{ C } \right)^2 \) \( m \;=\; \dfrac{1 }{ rh} \cdot \left( \dfrac{ v }{ C } \right)^2 \) |
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| Symbol | English | Metric |
| \( v \) = Flow Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
| \( C \) = Chezy Coefficient | \(dimensionless\) | \(dimensionless\) |
| \( r_h \) = Hydraulic Radius | \(ft\) | \(m\) |
| \( m \) = Slope | \(ft\) | \(m\) |
Chezy equation, abbreviated as Ch, also called Chezy-Manning equation, is an empirical formula used in open channel hydraulics to calculate the average velocity of flow in a channel. It applies to the steady velocity with turbulent flow in a open channel, such as a river or a pipe.
The Chezy equation is widely used in engineering practice for various applications, including the design of open channels, estimation of flow rates, and analysis of water flow in rivers, canals, and drainage systems. It provides a simple relationship between flow velocity, hydraulic radius, and channel slope, allowing engineers to make estimates and calculations for hydraulic design purposes.
