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Unformatted text preview: f)1/2 is constant and can be denoted by C. Equation (10.13) becomes C(RhS0)1/2 V0 CA(RhS0)1/2 Q (10.14) These are called the Chézy formulas, first developed by the French engineer Antoine Chézy in conjunction with his experiments on the Seine River and the Courpalet Canal in 1769. The quantity C, called the Chézy coefficient, varies from about 60 ft1/2/s for small rough channels to 160 ft1/2/s for large smooth channels (30 to 90 m1/2/s in SI units). Over the past century a great deal of hydraulics research [11] has been devoted to the correlation of the Chézy coefficient with the roughness, shape, and slope of various open channels. Correlations are due to Ganguillet and Kutter in 1869, Manning in 1889, Bazin in 1897, and Powell in 1950 [11]. All these formulations are discussed in delicious detail in Ref. 3, chap. 5. Here we confine our treatment to Manning’s correlation, the most popular. The Manning Roughness Correlation The most fundamentally sound approach to the Chézy formula is to use Eq. (10.13) with f estimated from the Moody friction-factor cha...
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This note was uploaded on 10/27/2009 for the course MAE 101a taught by Professor Sakar during the Spring '08 term at UCSD.

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