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Analytical Solutions for Composition-Dependent Coagulation
Joint Authors
Yang, Manli
Lu, Zhiming
Shen, Jie
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Exact solutions of the bicomponent Smoluchowski’s equation with a composition-dependent additive kernel K ( v a , v b ; v a ′ , v b ′ ) = α ( v a + v a ′ ) + ( v b + v b ′ ) are derived by using the Laplace transform for any initial particle size distribution.
The exact solution for an exponential initial distribution is then used to analyse the effects of parameter α on mixing degree of such bicomponent mixtures and the conditional distribution of the first component for particles with given mass.
The main finding is that the conditional distribution of large particles at larger time is a Gaussian function which is independent of the parameter α .
American Psychological Association (APA)
Yang, Manli& Lu, Zhiming& Shen, Jie. 2016. Analytical Solutions for Composition-Dependent Coagulation. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1111786
Modern Language Association (MLA)
Yang, Manli…[et al.]. Analytical Solutions for Composition-Dependent Coagulation. Mathematical Problems in Engineering No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1111786
American Medical Association (AMA)
Yang, Manli& Lu, Zhiming& Shen, Jie. Analytical Solutions for Composition-Dependent Coagulation. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1111786
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111786