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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.
Chézy Formula for open channel flow Antoine de Chézy (1 September 1718 – 5 October 1798), also called Antoine Chézy , was a French physicist and hydraulics engineer who contributed greatly to the study of fluid mechanics and designed a canal for the Paris water supply. [ 1 ]
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]
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The wall shear stress τ is dependent on the flow velocity u, they can be related by using e.g. the Darcy–Weisbach equation, Manning formula or Chézy formula. Further, equation ( 1 ) is the continuity equation , expressing conservation of water volume for this incompressible homogeneous fluid.
Most charts or tables indicate the type of friction factor, or at least provide the formula for the friction factor with laminar flow. If the formula for laminar flow is f = 16 / Re , it is the Fanning factor f, and if the formula for laminar flow is f D = 64 / Re , it is the Darcy–Weisbach factor f D.
If more than one formula is applicable in the flow regime under consideration, the choice of formula may be influenced by one or more of the following: Required accuracy; Speed of computation required; Available computational technology: calculator (minimize keystrokes) spreadsheet (single-cell formula) programming/scripting language (subroutine).
Chézy may refer to: . People. Antoine de Chézy (1718–1798), French hydraulic engineer; Antoine-Léonard de Chézy (1773–1832), French orientalist; Helmina von Chézy (1783–1856), German journalist, poet and playwright