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.
This work was partially supported by the G.N.F.M. Strategic Project “Metodi Matematici in Fluidodinamica e Dinamica Molecolare” and by the C.N.R. contract # 98.01027.CT01
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Dedicated to Professor Karl-Heinz Hoffmann on the occasion of his 60th birthday
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Fasano, A., Rosso, F. (2000). A New Model for the Dynamics of Dispersions in a Batch Reactor. In: Bungartz, HJ., Hoppe, R.H.W., Zenger, C. (eds) Lectures on Applied Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59709-1_10
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DOI: https://doi.org/10.1007/978-3-642-59709-1_10
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