Alternative transport equations for turbulent kinetic energy for flow in porous media

Resumo

Turbulence models proposed for porous media follow different approaches depending on the order of application of time and volume average operators. The two different methodologies lead to different governing equations for the statistical quantities. The turbulence kinetic energy resulting from application of the two averaging operators, following both orders of integration, is different. The connection between these two quantities is here discussed in light of the double-decomposition (time and volume) concept. Transport equations following both orders of integration are developed and compared.