Geodesic
The cloud droplets evolution in view of the impact of fractal environment: mathematical modeling
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 97-108

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In this paper, we investigate the effect of the medium with fractal structure on the growth of small cloud droplets at the initial condensation stage of cloud formation using a fractional differential equation. An electrodynamic model of coagulation of droplets under the action of an electric field is constructed in the cloud medium with a fractal structure. Numerical experiments are performed for assessment of the effect of the medium with fractal structure on the growth of cloud particles involving various combinations of microphysical parameters. A general dependence of the growth of cloud particles on different parameters of fractal structure in medium is established.
Keywords: cloud droplet, mathematical model, convective cloud.
Mots-clés : fractal dimension 
@article{VKAM_2018_4_a9,
     author = {T. S. Kumykov},
     title = {The cloud droplets evolution in view of the impact of fractal environment: mathematical modeling},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {97--108},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2018_4_a9/}
}
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T. S. Kumykov. The cloud droplets evolution in view of the impact of fractal environment: mathematical modeling. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 97-108. http://geodesic.mathdoc.fr/item/VKAM_2018_4_a9/