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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2017 Issue 1, Pages 19–23 (Mi izkab137)

MATHEMATICS. MATHEMATIC MODELING

Modeling of droplets’ electrodynamic coagulation in fractal media

T. S. Kumykov

"Federal scientific center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", Institute of Applied Mathematics and Automation, 360004, KBR, Nalchik, Shortanov St., 89-a

Abstract: Electrodynamic coagulation of droplets is modeled on the basis of differential equations of fractional order in the cloud with fractal structure under the influence of an electric field. Numerical experiments were performed to evaluate the effect of fractal environment on the growth of cloud particles with their microphysical parameters in different combinations. Fractional calculus apparatus have been used. We have determined the total dependence of the cloud particle growth on fractal parameters expressed in a sharp jump, followed by a decrease in the drops growth rate with different fractals parameters.

Keywords: electrodynamic coagulation, cloud drop, fractal dimension, mathematical model, convective cloud.

UDC: 517.958 [550.3 + 551.5]

Received: 20.02.2017



© Steklov Math. Inst. of RAS, 2025