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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2017, Volume 10, Issue 3, Pages 16–24
DOI: https://doi.org/10.14529/mmp170302
(Mi vyuru383)
 

Mathematical Modelling

Mathematical modelling of the formation of a difference in the potentials during crystallization of cloud droplets in view of fractal media

T. S. Kumykov

Institute of Applied Mathematics and Automation, Nalchik, Russian Federation
References:
Abstract: In this paper, we consider the mechanism of a potential difference occurrence while cloud drops are crystallizing in the convective clouds. Differential equations of fractional order have been applied. We have shown the occurrence of the potential difference at droplets crystallization in the convective clouds essentially depends not only on the rate of the ice growth and dispersion of the bubbles, but also on the fractal environment. Simulation results based on the numerical solution of the graphs depending on different values of the governing parameters.
Keywords: cloud drop; fractal dimension; mathematical model; convective cloud.
Received: 06.02.2017
Bibliographic databases:
Document Type: Article
UDC: 517.958 [550.3+551.5]
MSC: 86A10
Language: Russian
Citation: T. S. Kumykov, “Mathematical modelling of the formation of a difference in the potentials during crystallization of cloud droplets in view of fractal media”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:3 (2017), 16–24
Citation in format AMSBIB
\Bibitem{Kum17}
\by T.~S.~Kumykov
\paper Mathematical modelling of the formation of a difference in the potentials during crystallization of cloud droplets in view of fractal media
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2017
\vol 10
\issue 3
\pages 16--24
\mathnet{http://mi.mathnet.ru/vyuru383}
\crossref{https://doi.org/10.14529/mmp170302}
\elib{https://elibrary.ru/item.asp?id=29930354}
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