A modified form of the kappa-epsilon model for turbulent flows of an incompressible fluid in porous media

This work extends the recently published work of Antohe and Lage on the dev elopment of a macroscopic two-equation turbulence model for an incompressib le flow in porous media. The difference occurs in approximating the Forchhe imer term in the time-averaged momentum equation. Unlike the Antohe and Lag e's work, where only the linear terms of the expansion are kept, in the pre sently proposed model we include the second-order correlation term. This in clusion gives rise to an extra term in the transport momentum equation whic h, in turn, gives rise to additional terms in the transport equations for t he turbulent kinetic energy and the dissipation rate, The additional higher order terms produce correlation coefficients that are used to absorb any d eparture from the clear flow when expressing the two-equation turbulence mo del for incompressible flow in a porous medium. (C) 2000 Elsevier Science L td. All rights reserved.