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Self-similarity theory of stationary coagulation

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Title: Self-similarity theory of stationary coagulation
Author(s): Pushkin, Dmitri O.; Aref, Hassan
Subject(s): chaos foams microfluidics particulate flows vortex dynamics
Abstract: A theory of stationary particle size distributions in coagulating systems with particle injection at small sizes is constructed. The size distributions have the form of power laws. Under rather general assumptions, the exponent in the power law is shown to depend only on the degree of homogeneity of the coagulation kernel. The results obtained depend on detailed and quite sensitive estimates of various integral quantities governing the overall kinetics. The theory provides a unifying framework for a number of isolated results reported previously in the literature. In particular, it provides a more rigorous foundation for the scaling arguments of Hunt, which were based purely on dimensional analysis.
Issue Date: 2001-07
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 973
Genre: Technical ReportArticle
Type: Text
Language: English
ISSN: 0073-5264
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Date Available in IDEALS: 2007-03-08
Is Version Of: Published as: Dmitri O. Pushkin and Hassan Aref. Self-similarity theory of stationary coagulation. Physics of Fluids, Vol. 14, No. 2, 2002, pp. 694-703 and may be found at: DOI: 10.1063/1.1430440. Copyright 2002 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. Also available at:

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  • Theoretical and Applied Mechanics (TAM) Technical Reports
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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