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Transport in Porous Media

, Volume 8, Issue 3, pp 199–225 | Cite as

Travelling waves in the transport of reactive solutes through porous media: Adsorption and binary ion exchange — Part 2

  • C. J. Van Duijn
  • P. Knabner
Article

Abstract

We study travelling wave solutions for the model developed in Part 1 of this paper. We develop and discuss a condition characterizing their existence. The possibility of finiteness is investigated. We consider the convergence to various limit cases and point out their different qualitative behaviour. Numerical examples are discussed.

Key words

Travelling wave self-sharpening front mathematical analysis mathematical model adsorption ion exchange 

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References

  1. van Duijn, C. J. and Knabner, P., 1990, Travelling waves in the transport of reactive solutes through porous media: Adsorption and binary ion exchange — Part 2 (extended version), Report No. 205, SPP Applied Optimization, Augsburg.Google Scholar
  2. van Duijn, C. J. and Knabner, P., 1991, Solute transport with equilibrium and non-equilibrium multiple site adsorption: Travelling Waves,J. Reine Angew. Math. 415, 1–49.Google Scholar
  3. van Duijn, C. J. and Knabner, P., 1992, Travelling waves in the transport of reactive solutes through porous media: Adsorption and binary ion exchange — Part 1,Transport in Porous Media.8, 167–194.Google Scholar
  4. van Duijn, C. J., Knabner, P., and van der Zee, S.E.A.T.M., 1992, Travelling waves in transport of reactive solutes through porous media: Effect of adsorption model, in preparation.Google Scholar
  5. Ruthven, D. M., 1984,Principles of Adsorption and Adsorption Processes, Wiley, New York.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • C. J. Van Duijn
    • 1
  • P. Knabner
    • 2
  1. 1.Faculty of Technical Mathematics and InformaticsTU DelftAJ DelftThe Netherlands
  2. 2.Institut für MathematikUniversitÄt AugsburgAugsburgGermany

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