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Journal of Porous Media

 

ISSN for PRINT: 1091-028X

Institutional price:

$961.00

Issues per year:

12

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2003, Volume6

Issue 1

  80 pages  

DOI: 10.1615/JPorMedia.v6.i1   

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  • Mass Transfer Jump Condition at the Boundary between a Porous Medium and a Homogeneous Fluid
  • J. J. Valencia-Lopez
    Division de Ciencias Basicas e Ingenieria, Universidad Autonoma, Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 Mexico D.F., Mexico and Instituto Mexicano del Petroleo, Eje Central Lazaro Cardenas 152, Mexico D.F. 07730 Mexico

    G. Espinosa-Paredes
    Division de Ciencias Basicas e Ingenieria, Universidad Autonoma, Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 Mexico D.F., Mexico

    J. Alberto Ochoa-Tapia
    División de Ciencias Básicas e Ingeniería, Universidad Autónoma, Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 México D.F., México


    ABSTRACT

    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:

    DOI: 10.1615/JPorMedia.v6.i1.20

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