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A New Model for the Dynamics of Dispersions in a Batch Reactor

In: Lectures on Applied Mathematics

Author

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  • A. Fasano

    (University of Firenze, Department of Mathematics Ulisse Dini)

  • F. Rosso

    (University of Firenze, Department of Mathematics Ulisse Dini)

Abstract

A new model for coalescence and breakage of liquid-liquid dispersion is presented. The main features are: (i) the introduction of an efficiency factor which controls the time rate of the various processes affecting the size distribution function of droplets, (ii) a new effect — that we call volume scattering — which is consistent with the experimentally observed circumstance of the existence of a top size limit for droplets depending on the general dynamical conditions. The model is proved to be mathematically and physically correct by proving existence and uniqueness of a regular solution to the Cauchy problem.

Suggested Citation

  • A. Fasano & F. Rosso, 2000. "A New Model for the Dynamics of Dispersions in a Batch Reactor," Springer Books, in: Hans-Joachim Bungartz & Ronald H. W. Hoppe & Christoph Zenger (ed.), Lectures on Applied Mathematics, pages 123-141, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59709-1_10
    DOI: 10.1007/978-3-642-59709-1_10
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