Mathematical and Numerical Analysis of a Turbulent Viscosity Model.

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Abstract:

The turbulent viscosity assumption is the simplest turbulent closure of the Navier-Stokes equations. Of the possible models, some are of physical interest. In the case of the plane duct, a model based on the length scale, Uf, of the flow seems appropriate. Moreover, the introduction of such a model in the Navier-Stokes equations leads to a novel nonlinear parabolic equation, whose mathematical study is the subject of this paper. Author

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