Similarity solution of the coagulation equation in an electro-rheological colloidal suspension
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CitationMimouni, Z. ve Wattis, J. A. D. (2009). Similarity solution of the coagulation equation in an electro-rheological colloidal suspension. Maltepe Üniversitesi. s. 405.
Aggregation phenomena are met in a wide variety of physical, chemical and biological processes; for example the formation of aerosols, micelles and vesicles, polymers, and even celestial bodies on astronomical scales. The irreversible aggregation of colloidal particles is of interest, both from a fundamental point of view, and because of its industrial applications. Electrorheological (ER) fuids are colloidal suspensions of conducting particles in an insulating fuid. The particles acquire an electric dipole under the action of an external electric field. We present the analysis of a model for the aggregation of colloidal particles which arises in an electrorheological system. Linear clusters grow upon the application of an AC electric field. We consider coagulation kernels involving as negative powers of cluster sizes. We investigate the reduction of the governing equations to a similarity solution in the large time limit. Comparison between the experimental results and the theory shows a good agreement.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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