WIAS Preprint No. 492, (1999)

Coupling of Adsorption and Diffusion in Porous and Granular Materials. A 1-D Example of the Boundary Value Problem


  • Albers, Bettina
    ORCID: 0000-0003-4460-9152

2010 Mathematics Subject Classification

  • 76S05 73Q05 73S10


  • adsorption, flows in porous and granular materials




In the paper we present a macroscopic continuum model of adsorption in porous materials consisting of three components. We consider the flow of a fluid component through channels of the skeleton. It serves as carrier for an adsorbate whose mass balance equation contains a source term. The source consists of two parts: a Langmuir contribution connected with bare sides on internal surfaces which becomes in equilibrium the Langmuir isotherm, and changes of the internal surface driven by the source of porosity. The model for the latter contribution is new. Parameters of this model are analyzed by means of an example of solution of a boundary value problem for the full set of field equations which describes the transport of pollutants in soils.

Appeared in

  • Archive of Applied Mechanics 70 (2000) 7, 519-531

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