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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508
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Mass Transfer Jump Condition at the Boundary between a Porous Medium and a Homogeneous Fluid
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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Valdés-Parada Francisco J., Alvarez-Ramirez Jose, Goyeau Benoît, Ochoa-Tapia J. Alberto, Jump Condition for Diffusive and Convective Mass Transfer Between a Porous Medium and a Fluid Involving Adsorption and Chemical Reaction, Transport in Porous Media, 78, 3, 2009. Crossref
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Valdés-Parada Francisco J., Alvarez-Ramírez José, Goyeau Benoît, Ochoa-Tapia J. Alberto, Computation of Jump Coefficients for Momentum Transfer Between a Porous Medium and a Fluid Using a Closed Generalized Transfer Equation, Transport in Porous Media, 2009. Crossref
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Valdés-Parada Francisco J., Alberto Ochoa-Tapia J., Alvarez-Ramirez Jose, Diffusive mass transport in the fluid–porous medium inter-region: Closure problem solution for the one-domain approach, Chemical Engineering Science, 62, 21, 2007. Crossref
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Goldstein R.J., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., Strykowski P.J., Tamma K.K., Heberlein J.V.R., Davidson J.H., Bischof J., Kulacki F.A., Kortshagen U., Garrick S., Srinivasan V., Heat transfer—A review of 2003 literature, International Journal of Heat and Mass Transfer, 49, 3-4, 2006. Crossref
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Yu P., Zeng Y., Lee T.S., Low H.T., A numerical analysis of cell density effect on oxygen transport in a micro-bioreactor with a tissue engineering scaffold, International Communications in Heat and Mass Transfer, 36, 6, 2009. Crossref
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-
Espinosa-Paredes G., Morales-Zárate E., Vázquez-Rodríguez A., Analytical Analysis for Mass Transfer in a Fractured Porous Medium, Petroleum Science and Technology, 31, 19, 2013. Crossref
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Alvarez-Ramirez J., Dagdug L., Inzunza L., Rodriguez E., Asymmetrical diffusion across a porous medium-homogeneous fluid interface, Physica A: Statistical Mechanics and its Applications, 407, 2014. Crossref
-
Nield Donald A., Bejan Adrian, Heat Transfer Through a Porous Medium, in Convection in Porous Media, 2017. Crossref
-
Valdés-Parada Francisco J., The Scientific Achievements of J. Alberto Ochoa-Tapia, International Journal of Chemical Reactor Engineering, 15, 5, 2017. Crossref
-
Nield Donald A., Bejan Adrian, Heat Transfer Through a Porous Medium, in Convection in Porous Media, 2013. Crossref
-
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