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Phys. Rev. E 65, 041402 (2002) [9 pages]

Transport of solutes undergoing a Freundlich type nonlinear and nonequilibrium adsorption process

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Uwe Jaekel
NEC Europe Ltd., C&C Research Laboratories, Rathausalle 10, 53757 Sankt Augustin, Germany

Harry Vereecken
Research Center Jülich, Institute of Chemistry and Dynamics of the Geosphere, 52425 Jülich, Germany

Received 7 September 2001; published 2 April 2002

We investigate the behavior of solutes undergoing nonequilibrium adsorption processes that lead to a Freundlich isotherm in equilibrium. In contrast to a frequently used model we do not assume that the adsorption rate is proportional to the difference between adsorbed and equilibrium concentrations, but inspect two nonlinear laws governing the path to equilibrium. With some asymptotic considerations and numerical simulations we find that depending on the model parameters, the concentration in solution and the mass adsorbed by the matrix do not necessarily reach quasiequilibrium.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.041402
DOI:
10.1103/PhysRevE.65.041402
PACS:
82.33.Ln, 05.60.Cd, 68.43.-h