Similarity solution of coagulation equation with an inverse kernel |
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Authors: | Z. Mimouni |
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Affiliation: | a Laboratoire d’Instrumentation, de Métrologie et des Procédés, Faculté des Sciences et Techniques, Cadi Ayyad University, Guéliz, BP 549, 40000 Marrakech, Morocco b Theoretical Mechanics, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK |
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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. |
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Keywords: | 05.65.+b 64.60.Ej 64.60.Q- Nucleation 83.80.Gv |
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