Mathematical aspects of turbulence viscosity models for established flow in a planar duct
Abstract
The statistical averaged NavierStokes equations are treated where the Reynolds stress is expressed by a viscosity coefficient of turbulence. Two models are presented, where onedimensional nonlinear parabolic problems are dealt with. The first viscosity model is based on the flow mean velocity in the duct, while the latter, more complex, takes into account the friction velocity at the wall. Mathematical results concerning existence and uniqueness are presented.
 Publication:

Academie des Sciences Paris Comptes Rendus Serie B Sciences Physiques
 Pub Date:
 September 1980
 Bibcode:
 1980CRASB.291...63L
 Keywords:

 Computational Fluid Dynamics;
 Ducted Flow;
 Numerical Flow Visualization;
 Turbulence Models;
 Turbulent Flow;
 Viscous Flow;
 Flow Velocity;
 NavierStokes Equation;
 Nonlinearity;
 Reynolds Stress;
 Fluid Mechanics and Heat Transfer