DOI: 10.1615/TSFP8
MULTI-SCALE k−ε MODELLING OF TURBULENCE FOR POROUS MEDIUM FLOWS
SINOPSIS
To predict turbulence in porous media, a new approach is discussed. By double (both volume and Reynolds) averaging Navier-Stokes equations, there appear two unknown covariant terms in the momentum equation. They are namely the dispersive covariance and the volume averaged Reynolds stress which is split into the macro-scale Reynolds stress and the micro-scale Reynolds stress. To obtain the Reynolds stresses, two-equation eddy viscosity models are applied to the volume averaged Reynolds stress and the micro-scale Reynolds stress whilst the Smagorinsky model is applied to the dispersive covariance. The presently proposed multi-scale four-equation k − ε model is evaluated in porous wall channel flows and porous rib channel flows with good accuracy.