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  2. Chézy formula - Wikipedia

    en.wikipedia.org/wiki/Chézy_formula

    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.

  3. Open-channel flow - Wikipedia

    en.wikipedia.org/wiki/Open-channel_flow

    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 .

  4. Antoine de Chézy - Wikipedia

    en.wikipedia.org/wiki/Antoine_de_Chézy

    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 ]

  5. Darcy friction factor formulae - Wikipedia

    en.wikipedia.org/wiki/Darcy_friction_factor_formulae

    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 value for friction factor in the laminar flow region (Reynolds number < 2300). All of the others are for transitional and ...

  6. Equation-free modeling - Wikipedia

    en.wikipedia.org/wiki/Equation-free_modeling

    Equation-free modeling is a method for multiscale computation and computer-aided analysis. It is designed for a class of complicated systems in which one observes evolution at a macroscopic, coarse scale of interest, while accurate models are only given at a finely detailed, microscopic, level of description.

  7. Manning formula - Wikipedia

    en.wikipedia.org/wiki/Manning_formula

    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.

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  9. Kutta–Joukowski theorem - Wikipedia

    en.wikipedia.org/wiki/Kutta–Joukowski_theorem

    Equation is a form of the Kutta–Joukowski theorem. Kuethe and Schetzer state the Kutta–Joukowski theorem as follows: [ 5 ] The force per unit length acting on a right cylinder of any cross section whatsoever is equal to ρ ∞ V ∞ Γ {\displaystyle \rho _{\infty }V_{\infty }\Gamma } and is perpendicular to the direction of V ∞ ...

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