The solution of any system of governing equations either Potential, Euler or Navier-Stokes equations, either for laminar or turbulent flow or either with perfect gas, equilibrium real gas or any kind of thermodynamic non-equilibrium gas assumption, is performed today in an approximative way by the application of numerical methods. This usually requires a dimensionless variant of the system of equations. There are different ways for making the variablesWeiland, C. dimensionless (see for example [1]). The non-dimensionality procedure is demonstrated for the RANS equations, with the equation for the turbulence model and the equation for a gas in chemical and thermal non-equilibrium.

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Dimensionless Navier-Stokes Equations

  • Louise Elisabeth King

摘要

The solution of any system of governing equations either Potential, Euler or Navier-Stokes equations, either for laminar or turbulent flow or either with perfect gas, equilibrium real gas or any kind of thermodynamic non-equilibrium gas assumption, is performed today in an approximative way by the application of numerical methods. This usually requires a dimensionless variant of the system of equations. There are different ways for making the variablesWeiland, C. dimensionless (see for example [1]). The non-dimensionality procedure is demonstrated for the RANS equations, with the equation for the turbulence model and the equation for a gas in chemical and thermal non-equilibrium.