Improved form of the low Reynolds number kepsilon turbulence model
Abstract
The behavior of the kepsilon turbulence model at a turbulentnonturbulent interface is examined to determine the turbulent diffusion coefficients sigmak and sigmaepsilon. The analysis leads to a dilemma caused by the modeling of the generation term in the k and epsilon equations. Based on limiting values of sigmak and sigmaepsilon derived from this analysis, a revised form of the lowReynoldsnumber incompressible kepsilon turbulence model is presented which incorporates a new set of model constants, a linear form of the nearwall dissipation term in the k equation, and deletion of a nonphysical term in the epsilon equation. The revised model is applied to fullydeveloped flow in a channel and found to give better agreement with experiment than the original form of the model developed by Jones and Launder.
 Publication:

Physics of Fluids
 Pub Date:
 March 1974
 Bibcode:
 1974PhFl...18..309H
 Keywords:

 Channel Flow;
 Dynamic Models;
 Incompressible Flow;
 KEpsilon Turbulence Model;
 Turbulent Flow;
 Coefficient Of Friction;
 Convective Flow;
 Energy Distribution;
 Equations Of Motion;
 Mathematical Models;
 Reynolds Number;
 Turbulent Diffusion;
 Wall Flow;
 Fluid Mechanics and Heat Transfer