Improvement of the second and thirdmoment modeling of turbulence: A study of Reynoldsstress closure model
Abstract
Four parts of the Reynoldsstress closure modeling are reported: (1) improvement of the k and epsilon equaitons; (2) development of the thirdmoment transport equation; (3) formulation of the diffusion coefficient of the momentum equation by using the algebraicstress model of turbulence; and (4) the application of the Reynoldsstress model to a heat exchanger problem. It was demonstrated that the thirdmoment transport model improved the prediction of the triplevelocity products in the recirculating and reattaching flow regions in comparison with the existing algebraic models for the triplevelocity products. Optimum values for empirical coefficients are obtained for the prediction of the backwardfacing step flows. A functional expression is derived for the coefficient of the momentum diffusion by employing the algebraicstress model. The secondmoment closure is applied to a heat transfer problem. The computations for the flow in a corrugatedwall channel show that the secondmoment closure improves the prediction of the heat transfer rates by 30% over the k  epsilon model.
 Publication:

Semiannual Progress Report
 Pub Date:
 January 1986
 Bibcode:
 1986wisc.reptQ....A
 Keywords:

 Flow Equations;
 Heat Transfer;
 Mathematical Models;
 Reynolds Stress;
 Transport Properties;
 Turbulence Models;
 Turbulent Flow;
 Velocity Distribution;
 Equations Of Motion;
 KEpsilon Turbulence Model;
 Kinematic Equations;
 NavierStokes Equation;
 Research And Development;
 Fluid Mechanics and Heat Transfer