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A general two-equation macroscopic turbulence model for incompressible flow in porous media. (English) Zbl 0962.76532
From the summary: In view of the practical and fundamental importance to heat and mass transfer, we present a two-equation turbulence model for incompressible flow within a fluid saturated and rigid porous medium. The derivation consists of time-averaging the general (macroscopic) transport equations and closing the model with the classical eddy diffusivity concept and the Kolmogorov-Prandtl relation. The transport equations for the turbulence kinetic energy ($$\kappa$$) and its dissipation rate ($$\varepsilon$$) are attained from the general momentum equations. Analysis of the $$\kappa-\varepsilon$$ equations proves that for a small permeability medium, small enough to minimize the form drag (Forchheimer term), the effect of a porous matrix is to damp turbulence, as physically expected.

##### MSC:
 76F10 Shear flows and turbulence 76S05 Flows in porous media; filtration; seepage
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