Mathematical Model of Formation Aerosol Particles Fractal Storm Cloud
Tembulat Kumykov *
Department of Mathematical Modeling of Geophysical Processes, Institute of Applied Mathematics and Automation, Shortanova Str. 89A, 360000 Nalchik, Russia.
Roman Parovik
Laboratory of Mathematical Modeling of Physical Processes, Institute of Cosmophysical Research and Radio Wave Propagation Far Eastern Branch of Russian Academy of Science, Mirnaya Str. 7, 684034 Kamchatka region, Paratunka, Russia and Faculty of Physics and Mathematics, Vitus Bering Kamchatka State University, Pogranichnaya Str., 4, 683032 Kamchatka Region, Petropavlovsk-Kamchatsky, Russia.
*Author to whom correspondence should be addressed.
Abstract
The paper proposes a new educational model of aerosol particles in thunderclouds. The model takes into account the fractal properties of the storm clouds, and its solution was obtained by numerical methods of fractional calculus. Built new pro les calculated curves that are consistent with the classical Lifshitz-Slezov-Wagner theory.
Keywords: Coalescence, lifshitz-slezov-wagner theory, fractal dimension, the mathematical model.