Fluid Mechanics and Transport Phenomena

Wave model for longitudinal dispersion: Analysis and applications

  1. K. R. Westerterp*,
  2. V. V. Dil'man†,
  3. A. E. Kronberg,
  4. A. H. Benneker

Article first published online: 17 JUN 2004

DOI: 10.1002/aic.690410903

Issue

AIChE Journal

AIChE Journal

Volume 41, Issue 9, pages 2029–2039, September 1995

Additional Information

How to Cite

Westerterp, K. R., Dil'man, V. V., Kronberg, A. E. and Benneker, A. H. (1995), Wave model for longitudinal dispersion: Analysis and applications. AIChE Journal, 41: 2029–2039. doi: 10.1002/aic.690410903

Author Information

  1. Chemical Reaction Engineering Laboratories, Dept. of Chemical Engineering, Twenty University of Technology, 7500 AE Enschede, The Netherlands

  1. †

    Kurnakov Institute of General and Inorganic Chemistry of Russian Academy of Sciences, Leninsky Prospect 31, Moscow 117907, Russia

*Chemical Reaction Engineering Laboratories, Dept. of Chemical Engineering, Twenty University of Technology, 7500 AE Enschede, The Netherlands

Publication History

  1. Issue published online: 17 JUN 2004
  2. Article first published online: 17 JUN 2004
  3. Manuscript Revised: 29 DEC 1994
  4. Manuscript Received: 15 JUL 1994

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Abstract

An analysis and applications of the wave model for longitudinal dispersion are pre-sented. Asymptotic forms of the wave model are considered and analytical solutions of typical linear stationary and nonstationary problems of chemical reactor engineering interest are obtained and compared to those for the Fickian dispersion model. The wave model leads to efficient analytical solutions for linear problems, which in principle differ from the solutions of the Fickian dispersion model; only for slowly varying concentration fields do the soluctions of both models approach each other. Spatial and time moments of the concentration distribution are obtained for pulse-dispersion problems; the first three spatial moments of the mean, variance, and skewness have exact, large-time asymptotic forms in the case of Taylor dispersion. Old experiments that could not be explained with the standard dispersion model are reconsidered and explained: the change with time of the variance of a concentration pulse when the flow direction is reversed and the difference in values of the apparent axial dispersion coefficient and the backmixing coefficient in a rotating disk contactor. The experimental determination of model parameters is discussed.

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