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Archive of Applied Mechanics

, Volume 70, Issue 7, pp 519–531 | Cite as

Coupling of adsorption and diffusion in porous and granular materials. A 1-D example of the boundary value problem

  • B. Albers

Summary

 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 sites 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.

Key words Adsorption flow in porous and granular materials diffusion perturbation method Laplace transform 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • B. Albers
    • 1
  1. 1.Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany Fax: 030/2044975; E-mail: albers@wias-berlin.deDE

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