Generalized algebraic relation for predicting developing curved channel flow with a kepsilon model of turbulence
Abstract
Using algebraic approximations for the Reynolds stress equations a general expression was derived which accounts simultaneously for the effects of streamline curvature and pressure strain in the flow, including wall induced influences on the velocity fluctuations. The expression derived can be shown to encompass similar but more specific formulations proposed by Bradshaw, Rodi, and Leschziner and Rodi. The present formulation was used in conjunction with a ke model of turbulence to predict developing, two dimensional, curved channel flows where both curvature and pressure strain effects can be large. Minor modifications to include the influence of curvature on the length scale of the flow near the walls produce a significant improvement in the calculations. While, in general, predictions, are in good agreement with experimental measurements of mildly and strongly curved flows, the model tends to overpredict the kinetic energy of turbulence in the inner radius (convex) wall region.
 Publication:

Presented at 3rd Symp. on Turbulent Shear Flow
 Pub Date:
 June 1981
 Bibcode:
 1981tsf..symp....9H
 Keywords:

 Analysis (Mathematics);
 Channel Flow;
 KEpsilon Turbulence Model;
 Mathematical Models;
 Prediction Analysis Techniques;
 Reynolds Stress;
 Turbulent Flow;
 Wall Flow;
 Computerized Simulation;
 Fluid Flow;
 Turbulence;
 Two Dimensional Flow;
 Vortices;
 Fluid Mechanics and Heat Transfer