# Chezy Formula

## Conduits flow and mean velocity

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The Chezy formula can be used to calculate mean flow velocity in conduits and is expressed as

v = c (R S)^{1/2}(1)

where

v = mean velocity (m/s, ft/s)

c = the Chezy roughness and conduit coefficient

R = hydraulic radius of the conduit (m, ft)

S = slope of the conduit (m/m, ft/ft)

In general the Chezy coefficient - *c -* is a function of the flow Reynolds Number - Re - and the relative roughness - *ε/R* *-* of the channel.

*ε* is the characteristic height of the roughness elements on the channel boundary.

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