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Computation Of Jump Coefficients For Momentum Transfer Between A Porous Medium And A Fluid Using A Closed Generalized Transfer Equation, Francisco J. Valdes-Parada, José Alvarez-Ramirez, Benoît Goyeau, J. Alberto Ochoa-Tapia

Francisco J. Valdes-Parada

The momentum transfer between a homogeneous fluid and a porous medium in a system analogous to the one used by Beavers and Joseph (J Fluid Mech 30:197–207, 1967) is studied using volume averaging techniques. In this article, we present a closed generalized momentum transport equation (GTE) that is valid everywhere and is expressed in terms of position-dependent effective transport coefficients, which are computed from the solution of associated closure problems previously reported. A combination of the velocity profiles from the GTE in the definition of the excess terms that define the jump coefficients allows their computation using numerical techniques. The …