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  2. Moody chart - Wikipedia

    en.wikipedia.org/wiki/Moody_chart

    In engineering, the Moody chart or Moody diagram (also Stanton diagram) is a graph in non-dimensional form that relates the Darcy–Weisbach friction factor f D, Reynolds number Re, and surface roughness for fully developed flow in a circular pipe.

  3. 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 ...

  4. Darcy–Weisbach equation - Wikipedia

    en.wikipedia.org/wiki/Darcy–Weisbach_equation

    This function shares the same values for its term in common with the Kármán–Prandtl resistance equation, plus one parameter 0.305 or 0.34 to fit the asymptotic behavior for R ∗ → ∞ along with one further parameter, 11, to govern the transition from smooth to rough flow. It is exhibited in Figure 3.

  5. Predictor–corrector method - Wikipedia

    en.wikipedia.org/wiki/Predictor–corrector_method

    The initial, "prediction" step, starts from a function fitted to the function-values and derivative-values at a preceding set of points to extrapolate ("anticipate") this function's value at a subsequent, new point.

  6. Proportional control - Wikipedia

    en.wikipedia.org/wiki/Proportional_control

    The balls rise as speed increases, which closes the valve, reducing speed until a balance is achieved. Proportional control , in engineering and process control, is a type of linear feedback control system in which a correction is applied to the controlled variable, and the size of the correction is proportional to the difference between the ...

  7. Linear predictor function - Wikipedia

    en.wikipedia.org/wiki/Linear_predictor_function

    The basic form of a linear predictor function () for data point i (consisting of p explanatory variables), for i = 1, ..., n, is = + + +,where , for k = 1, ..., p, is the value of the k-th explanatory variable for data point i, and , …, are the coefficients (regression coefficients, weights, etc.) indicating the relative effect of a particular explanatory variable on the outcome.

  8. Hagen–Poiseuille equation - Wikipedia

    en.wikipedia.org/wiki/Hagen–Poiseuille_equation

    Then the angular equation in the momentum equations and the continuity equation are identically satisfied. The radial momentum equation reduces to ⁠ ∂p / ∂r ⁠ = 0, i.e., the pressure p is a function of the axial coordinate x only. For brevity, use u instead of . The axial momentum equation reduces to

  9. Ornstein–Zernike equation - Wikipedia

    en.wikipedia.org/wiki/Ornstein–Zernike_equation

    The direct correlation function is only used in connection with the OZ equation, which can actually be seen as its definition. [2] Besides the OZ equation, other methods for the computation of the pair correlation function include the virial expansion at low densities, and the Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) hierarchy. Any ...