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  2. Pipe network analysis - Wikipedia

    en.wikipedia.org/wiki/Pipe_network_analysis

    The modern method is simply to create a set of conditions from the above Kirchhoff laws (junctions and head-loss criteria). Then, use a Root-finding algorithm to find Q values that satisfy all the equations. The literal friction loss equations use a term called Q 2, but we want to preserve any changes in

  3. SIMPLEC algorithm - Wikipedia

    en.wikipedia.org/wiki/SIMPLEC_algorithm

    The steps involved are same as the SIMPLE algorithm and the algorithm is iterative in nature. p*, u*, v* are guessed Pressure, X-direction velocity and Y-direction velocity respectively, p', u', v' are the correction terms respectively and p, u, v are the correct fields respectively; Φ is the property for which we are solving and d terms are involved with the under relaxation factor.

  4. Inertance - Wikipedia

    en.wikipedia.org/wiki/Inertance

    In fluid mechanics, inertance is a measure of the pressure difference in a fluid required to cause a unit change in the rate of change of volumetric flow-rate with time. The base SI units of inertance are kg m −4 or Pa s 2 m −3 and the usual symbol is I. The inertance of a tube is given by: = where

  5. Discrete Poisson equation - Wikipedia

    en.wikipedia.org/wiki/Discrete_Poisson_equation

    In mathematics, the discrete Poisson equation is the finite difference analog of the Poisson equation. In it, the discrete Laplace operator takes the place of the Laplace operator . The discrete Poisson equation is frequently used in numerical analysis as a stand-in for the continuous Poisson equation, although it is also studied in its own ...

  6. PISO algorithm - Wikipedia

    en.wikipedia.org/wiki/PISO_algorithm

    It is an extension of the SIMPLE algorithm used in computational fluid dynamics to solve the Navier-Stokes equations. PISO is a pressure-velocity calculation procedure for the Navier-Stokes equations developed originally for non-iterative computation of unsteady compressible flow, but it has been adapted successfully to steady-state problems.

  7. Approximate entropy - Wikipedia

    en.wikipedia.org/wiki/Approximate_entropy

    In other words, () is an -dimensional vector that contains the run of data starting with (). Define the distance between two vectors x ( i ) {\displaystyle \mathbf {x} (i)} and x ( j ) {\displaystyle \mathbf {x} (j)} as the maximum of the distances between their respective components, given by

  8. Projection method (fluid dynamics) - Wikipedia

    en.wikipedia.org/wiki/Projection_method_(fluid...

    Typically, the algorithm consists of two stages. In the first stage, an intermediate velocity that does not satisfy the incompressibility constraint is computed at each time step. In the second, the pressure is used to project the intermediate velocity onto a space of divergence-free velocity field to get the next update of velocity and pressure.

  9. Non-random two-liquid model - Wikipedia

    en.wikipedia.org/wiki/Non-random_two-liquid_model

    VLE of the mixture of chloroform and methanol plus NRTL fit and extrapolation to different pressures. The non-random two-liquid model [1] (abbreviated NRTL model) is an activity coefficient model introduced by Renon and Prausnitz in 1968 that correlates the activity coefficients of a compound with its mole fractions in the liquid phase concerned.