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

A. Fasano and F. Rosso
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A. Fasano: University of Firenze, Department of Mathematics Ulisse Dini
F. Rosso: University of Firenze, Department of Mathematics Ulisse Dini

A chapter in Lectures on Applied Mathematics, 2000, pp 123-141 from Springer

Abstract: 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.

Keywords: Cauchy Problem; Batch Reactor; Global Existence; Efficiency Factor; Size Distribution Function (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59709-1_10

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DOI: 10.1007/978-3-642-59709-1_10

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