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The Chézy formula describes mean flow velocity in turbulent open channel flow and is used broadly in fields related to fluid mechanics and fluid dynamics. Open channels refer to any open conduit, such as rivers, ditches, canals, or partially full pipes. The Chézy formula is defined for uniform equilibrium and non-uniform, gradually varied flows.
It is used in the design of water pipe systems [1] such as fire sprinkler systems, [2] water supply networks, and irrigation systems. It is named after Allen Hazen and Gardner Stewart Williams. The Hazen–Williams equation has the advantage that the coefficient C is not a function of the Reynolds number , but it has the disadvantage that it is ...
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 ]
The following table lists historical approximations to the Colebrook–White relation [23] for pressure-driven flow. Churchill equation [ 24 ] (1977) is the only equation that can be evaluated for very slow flow (Reynolds number < 1), but the Cheng (2008), [ 25 ] and Bellos et al. (2018) [ 8 ] equations also return an approximately correct ...
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Darcy-Weisbach formula: used to model pressurized flow under a broader range of hydraulic conditions; Chezy-Manning formula: used to model pressurized flow by using Chezy's roughness coefficients for Manning's equation; Since the pipe segment headloss equation is used within the network solver, the formula above is selected for the entire model.
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