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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.
By invoking the high Reynolds number and 1D flow assumptions, we have the equations: + = + = The second equation implies a hydrostatic pressure =, where the channel depth (,) = (,) is the difference between the free surface elevation and the channel bottom .
The Chézy equation is a pioneering formula in the field of fluid mechanics, and was expanded and modified by Irish engineer Robert Manning in 1889 [1] as the Manning formula. The Chézy formula concerns the velocity of water flowing through conduits and is widely celebrated for its use in open channel flow calculations. [ 2 ]
Cell-free marginal layer model; Center of pressure (fluid mechanics) Chandrasekhar number; Chandrasekhar virial equations; Chandrasekhar–Friedman–Schutz instability; Chandrasekhar's variational principle; Chandrasekhar's white dwarf equation; Chaotic mixing; Chaplygin's equation; Characteristic number (fluid dynamics) Chézy formula ...
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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).
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The discharge formula, Q = A V, can be used to rewrite Gauckler–Manning's equation by substitution for V. Solving for Q then allows an estimate of the volumetric flow rate (discharge) without knowing the limiting or actual flow velocity. The formula can be obtained by use of dimensional analysis.