By definition there is **no acceleration** in **uniform** flow. By applying the momentum equation to a control volume encompassing two sections 1 and 2, distance *L *apart, the **Chezy formula** is derived :

\[V = C\sqrt {R{S_o}} \]

where :

**V** : Average flow velocity through cross section

**C** : Chezy coefficient coefficient which depends on the nature of the surface and the flow

* R : Hydraulic radius (R *=

*A*/

*P)*.

*R*is a length parameter accounting for the shape of the channel. It plays a very important role in developing flow equations which are common to all shapes of channels.

**S _{o}** : Longitudinal bed slope (dimensionless)

The French engineer Antoine Chezy derived Chezy formula in 1769.

The **dimensions** of **Chezy coefficient C **are :

\[{L^{1/2}}{T^{ - 1}}\]

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