Mathematical and numerical analysis of a turbulent viscosity model
Abstract
The turbulent viscosity assumption is the simplest turbulent closure of the NavierStokes 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 NavierStokes equations leads to a novel nonlinear parabolic equation, whose mathematical study is the subject of this paper.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 April 1982
 Bibcode:
 1982STIN...8231647B
 Keywords:

 Ducted Flow;
 Numerical Analysis;
 Turbulence Models;
 Turbulent Flow;
 Viscous Flow;
 Mathematical Models;
 NavierStokes Equation;
 Nonlinear Systems;
 Parabolic Differential Equations;
 Fluid Mechanics and Heat Transfer