Coagulation equations with mass loss

Wattis, Jonathan AD and 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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Official URL: http://www.springer.com/physics/mechanics/journal/10665

Abstract

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: Springerlink.com
Uncontrolled Keywords:Smoluchowski coagulation, aggregation, cluster size distribution
Schools/Departments:University of Nottingham UK Campus > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
ID Code:940
Deposited By:Wattis, Jonathan
Deposited On:15 Aug 2008 16:14
Last Modified:12 Aug 2013 12:53

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