Coagulation equations with mass loss

Wattis, Jonathan A.D., McCartney, D. Graham and Gudmundsson, Throstur (2004) Coagulation equations with mass loss. Journal of Engineering Mathematics, 49 . pp. 113-131. ISSN 0022-0833

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We derive and solve models for coagulation with mass loss

arising, for example, from industrial processes in which

growing inclusions are lost from the melt by colliding with the wall of the vessel. We consider a variety of loss laws and a variety of coagulation kernels, deriving exact results

where possible, and more generally reducing the equations

to similarity solutions valid in the large-time limit.

One notable result is the effect that mass removal has on gelation: for small loss rates, gelation is delayed, whilst above a critical threshold, gelation is completely prevented. Finally, by forming an exact explicit solution for a more general initial cluster size distribution function, we illustrate how numerical results from earlier work can be interpreted in the light of the theory presented herein.

Item Type: Article
Additional Information: The original version is available at:
Keywords: Smoluchowski coagulation, aggregation, cluster size distribution
Schools/Departments: University of Nottingham, UK > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Depositing User: Wattis, Jonathan
Date Deposited: 15 Aug 2008 15:14
Last Modified: 04 May 2020 20:31

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