Coagulation equations with mass loss

Wattis, Jonathan A.D.; McCartney, D. Graham; Gudmundsson, Throstur

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.

Citation

Wattis, J. A., McCartney, D. G., & Gudmundsson, T. Coagulation equations with mass loss. Journal of Engineering Mathematics, 49,

• Journal Article Type: Article
• Deposit Date: Aug 15, 2008
• Journal: Journal of Engineering Mathematics
• Print ISSN: 0022-0833
• Electronic ISSN: 0022-0833
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 49
• Keywords: Smoluchowski coagulation, aggregation, cluster size distribution
• Public URL: https://nottingham-repository.worktribe.com/output/1021868
• Publisher URL: http://www.springer.com/physics/mechanics/journal/10665
• Additional Information: The original version is available at: Springerlink.com