Boundary conditions at a fluid–porous interface: An a priori estimation of the stress jump coefficients

M. Chandesris (1) , D. Jamet (1)

1 CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire)

The velocity boundary condition that must be imposed at an interface between a porous medium and a free fluid is investigated. A heterogeneous transition zone characterized by rapidly varying properties is introduced between the two homogeneous porous and free fluid regions. The problem is solved using the method of matched asymptotic expansions and boundary conditions between the two homogeneous regions are obtained. The continuity of the velocity is recovered and a jump in the stress built using the viscosity (and not the effective viscosity) appears. This result also provides an explicit dependence of the stress jump coefficient to the internal structure of the transition zone and its sensitivity to this micro structure is recovered

Keywords: Matched asymptotic expansion; Incompressible flow; Porous media; Boundary conditions; Interface

Domains: Nuclear Experiment [nucl-ex]; Nuclear Theory [nucl-th]

M. Chandesris, D. Jamet. Boundary conditions at a fluid–porous interface: An a priori estimation of the stress jump coefficients. International Journal of Heat and Mass Transfer, 2006, 49 (13-14), pp.2137-2150. ⟨10.1016/j.ijheatmasstransfer.2005.12.010⟩. ⟨cea-02354114⟩