Modified Macroscopic Turbulence Modelling for the Tube with Channel Geometry in Porous Media

Abstract

The modeling for turbulent flow through a porous medium has not been confirmed because of an undetermined constant which appears in the governing equations. In the present study, turbulent porous modeling based on one energy equation has been extended to turbulent clear flow. An undetermined constant is also suggested by performing microscopic analysis in the flat tube geometry. The undetermined constant is found to be 0.99 by comparing the results of macroscopic and microscopic analysis. It is shown that the results of the macroscopic analysis using the constant agree well with those of the microscopic analysis, with a maximum error of 3.5%.