The Chézy formula describes mean flow velocity in turbulent open channel flow[1][2][3] 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.[1][8] The Chézy formula is defined for uniform equilibrium and non-uniform gradually varied flows.[2]
Please note that this is not a full derivation of the Chézy formula. To remain introductory, advanced derivation components are skipped. Please consult a fluid mechanics or open-channel flow textbook[1][2] for a full derivation of the Chézy equation.
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Both formulas continue to be broadly taught and used as foundational to open channel and fluid dynamics research. Today, the Manning formula is likely the most globally used formula for open channel uniform flow analysis, due greatly to its simplicity, proven efficacy, and the fact that most open channel studies are concerned with turbulent flow.[12] However, the Chézy's formula is one of the oldest in the field of fluid mechanics,[1] it applies to a wider range of flows than the Manning equation,[13] and its influence continues to this day. 2ff7e9595c
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