Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

Russian  English English About Journal | Issues | Editorial Board | Contact Us
 


 Web hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2012-6pp.688-705

Archive of Issues

Total articles in the database: 1729
In Russian (): 951
In English (J. Appl. Math. Mech.): 778

<< Previous article | Volume 76, Issue 6 / 2012 | Next article >>
V.N. Piskunov, "Analytical and numerical results in the kinetics of particle coagulation and fragmentation processes," J. Appl. Math. Mech. 76 (6), 688-705 (2012)
Year 2012 Volume 76 Issue 6 Pages 688-705
Title Analytical and numerical results in the kinetics of particle coagulation and fragmentation processes
Author(s) V.N. Piskunov (Sarov, Russia, piskunov@vniief.ru)
Abstract General relations in the kinetics of particle coagulation and fragmentation in dispersed systems are presented, a development of the corresponding models is proposed and new analytical and numerical results for the kinetics of these processes are obtained. Versions of the kinetic equation for multiple and pair fragmentation are formulated that enable analytical solutions to be obtained in the case of simplified relations for the rates of these processes. New solutions of the stationary kinetic equation are obtained in a study of stationary conditions and a method is proposed that enables the spectra to be found numerically over a very wide range of particle sizes: when the lower and upper boundaries of the spectrum differ by 11-14 orders of magnitude. The possible types of self-similar conditions are analysed and the conditions necessary for their existence are formulated. It is shown that coagulation with pair fragmentation is a diversified and non-trivial field of study. A set of processes is obtained: a steady-state process, the predominance of coagulation, critical phenomena, a collapsing self-similarity (accumulating particles in the initial size range) and singularity of the particle spectra. The listed diversity of the processes is demonstrated for model coagulation and rates of fragmentation kernels. Both analytical methods and numerical calculations are used in the analysis.
Received 24 October 2011
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892813000282
<< Previous article | Volume 76, Issue 6 / 2012 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia (+7 495) 434-2149 pmm@ipmnet.ru pmmedit@ipmnet.ru http://pmm.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Journals on Mechanics Ltd.
© Journals on Mechanics Ltd.
Webmaster: Alexander Levitin
Rambler's Top100