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The Chézy Formula is a semi-empirical resistance equation [1] [2] which estimates mean flow velocity in open channel conduits. [3] The relationship was conceptualized and developed in 1768 by French physicist and engineer Antoine de Chézy (1718–1798) while designing Paris's water canal system.
In this pursuit, Chézy built model channels on which he ran tests to determine the factors that influence flow in an open channel. [1] [7] The famed Chézy formula continues to be used in open channel analyses today. [1] In 1798, he became Director of the Ecole Nationale Supérieure des Ponts-et-Chaussées after teaching there for many years. [6]
This can only occur in a smooth channel that does not experience any changes in flow, channel geometry, roughness or channel slope. During uniform flow, the flow depth is known as normal depth (yn). This depth is analogous to the terminal velocity of an object in free fall, where gravity and frictional forces are in balance (Moglen, 2013). [3]
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This means the greater the hydraulic radius, the larger volume of water the channel can carry. Based on the 'constant shear stress at the boundary' assumption, [6] hydraulic radius is defined as the ratio of the channel's cross-sectional area of the flow to its wetted perimeter (the portion of the cross-section's perimeter that is "wet"):
He was born at Neuilly.His father, Antoine de Chézy (1718–1798), was an engineer who finally became director of the École des Ponts et Chaussées.The son was intended for his father's profession; but in 1799 he obtained a post in the oriental manuscripts department of the national library. [1]