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Coagulation equations with mass loss

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

Authors

Jonathan A.D. Wattis Jonathan.Wattis@nottingham.ac.uk

D. Graham McCartney

Throstur Gudmundsson



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.

Journal Article Type Article
Journal Journal of Engineering Mathematics
Print ISSN 0022-0833
Electronic ISSN 0022-0833
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 49
APA6 Citation Wattis, J. A., McCartney, D. G., & Gudmundsson, T. Coagulation equations with mass loss. Journal of Engineering Mathematics, 49,
Keywords Smoluchowski coagulation, aggregation, cluster size distribution
Publisher URL http://www.springer.com/physics/mechanics/journal/10665
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information The original version is available at: Springerlink.com

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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