Similarity solution of coagulation equation with an inverse kernel

Z. Mimouni and J.A.D. Wattis

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 7, 1067-1073

Abstract: We analyse a model for the aggregation of polystyrene particles which arises in an electrorheology system in which linear clusters grow upon the application of an alternating electromagnetic field. We consider a coagulation kernel involving negative powers of cluster sizes and investigate the reduction of the governing equations to a similarity solution in the large-time limit. Comparison between the experimental results and the theory presented here shows a good collapse of the data onto a single curve, which matches the theoretical results particularly well at the larger cluster sizes.

Keywords: Smoluchowski coagulation; Aggregation; Cluster size distribution; Electro-rheological fluids (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:7:p:1067-1073

DOI: 10.1016/j.physa.2008.12.064

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