Chézy formula

In fluid dynamics, the Chézy formula describes the mean flow velocity of steady, turbulent open channel flow:

v=C\sqrt{R\,i},\,

where

The formula is named after Antoine de Chézy, the French hydraulics engineer who devised it in 1775.

Usage with Manning coefficient

This formula can also be used with Manning's Roughness Coefficient, instead of Chézy's coefficient. Manning derived[1] the following relation to C based upon experiments:

C=\frac{1}{n}R^{1/6}

where

Unlike the Manning equation, which is empirical, the Chézy equation is derived from hydrodynamics theory.[2]

See also

References

  1. Manning, R., "On the flow of Water in Open Channels and Pipes." Transactions Institute of Civil Engineers of Ireland, vol. 20, pp 161-209, Dublin, 1891, Supplement, vol 24, pp. 179-207, 1895
  2. Martin & McCutcheon, 1999, Hydrodynamics and Transport, Lewis

External links

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