Coagulation equations with mass loss

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 are derived and solved. A variety of loss laws and a variety of coagulation kernels are considered, exact results derived...

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Bibliographic Details
Published in:Journal of engineering mathematics 2004-06, Vol.49 (2), p.113-131
Main Authors: WATTIS, Jonathan A. D, MCCARTNEY, D. Graham, GUDMUNDSSON, Throstur
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Foundry engineering
Metals. Metallurgy
Other casting methods. Solidification
Production techniques
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Summary: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 are derived and solved. A variety of loss laws and a variety of coagulation kernels are considered, exact results derived where possible, and more generally the equations are reduced and solved by 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 clustersize distribution function, it is shown how numerical results from earlier work can be interpreted in the light of the theory presented herein.
ISSN:0022-0833
1573-2703
DOI:10.1023/B:ENGI.0000017474.05829.68