Coagulation equations with mass loss
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 w...
| Main Authors: | , , |
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| Format: | Article |
| Published: |
2004
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| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/940/ |
| _version_ | 1848790507547787264 |
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| author | Wattis, Jonathan A.D. McCartney, D. Graham Gudmundsson, Throstur |
| author_facet | Wattis, Jonathan A.D. McCartney, D. Graham Gudmundsson, Throstur |
| author_sort | Wattis, Jonathan A.D. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:13:43Z |
| format | Article |
| id | nottingham-940 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:13:43Z |
| publishDate | 2004 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-9402020-05-04T20:31:44Z https://eprints.nottingham.ac.uk/940/ Coagulation equations with mass loss Wattis, Jonathan A.D. McCartney, D. Graham Gudmundsson, Throstur 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. 2004 Article PeerReviewed 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 Smoluchowski coagulation aggregation cluster size distribution http://www.springer.com/physics/mechanics/journal/10665 |
| spellingShingle | Smoluchowski coagulation aggregation cluster size distribution Wattis, Jonathan A.D. McCartney, D. Graham Gudmundsson, Throstur Coagulation equations with mass loss |
| title | Coagulation equations with mass loss |
| title_full | Coagulation equations with mass loss |
| title_fullStr | Coagulation equations with mass loss |
| title_full_unstemmed | Coagulation equations with mass loss |
| title_short | Coagulation equations with mass loss |
| title_sort | coagulation equations with mass loss |
| topic | Smoluchowski coagulation aggregation cluster size distribution |
| url | https://eprints.nottingham.ac.uk/940/ https://eprints.nottingham.ac.uk/940/ |