Mass Transfer Jump Condition at the Boundary between a Porous Medium and a Homogeneous Fluid
José Javier Valencia-López, Gilberto Espinosa-Paredes, J. Alberto Ochoa‐Tapia · Journal of Porous Media · 2003
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: