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Mass Transfer Jump Condition at the Boundary between a Porous Medium and a Homogeneous Fluid

Volumen 6, Ausgabe 1, 2003, 17 pages
DOI: 10.1615/JPorMedia.v6.i1.20
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ABSTRAKT

The mass transfer condition that applies at the boundary between a porous medium (the w region) and a homogeneous fluid (the h region) is developed as a jump condition based on the nonlocal form of the volume-averaged mass transport equation that is valid within the boundary region. Outside the boundary region this nonlocal form reduces to the classic volume-averaged transport equation in the w region and to the point equation in the h region, respectively. The jump condition takes the form of a surface transport equation that contains terms representing the excess surface accumulation, convection, diffusion, adsorption, and a nonequilibrium source term, in addition to a term representing the exchange with the surrounding regions. When the excess surface terms are represented using dimensionless adjustable parameters, the jump condition can be expressed as follows:

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