A method of the numerical calculation of fully developed turbulent flows in a circular pipe and a plane channel using the kepsilon turbulence model
Abstract
A numerical calculation of a fully developed axisymmetric turbulent flow in a circular pipe or a fully developed symmetric twodimensional turbulent flow in a plane channel is performed using the two equation turbulence model of LamBremhorst. In order to obtain the initial turbulence properties needed to the first iteration of the two equation turbulence model calculation, the assumption of the local equilibrium of the turbulence properties is applied to the result of the zero equation turbulence model calculation. The pressure gradient is successively corrected using the Muller method instead of the Newton method commonly in use. The numerical results are in good agreement with the already obtained numerical calculation. Some discrepancies between the calculation and experiments should be improved by using the more sophisticated turbulence model.
 Publication:

Kyushu University Technology Reports
 Pub Date:
 January 1986
 Bibcode:
 1986KyUTR..59...89Y
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 KEpsilon Turbulence Model;
 Pipe Flow;
 Turbulent Flow;
 Axisymmetric Flow;
 Boundary Value Problems;
 Newton Methods;
 Numerical Flow Visualization;
 Pressure Gradients;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer