Geodesic
Forced crystallization of drops in front of a~body, moving in a~supercooled cloud
Matematičeskoe modelirovanie, Tome 22 (2010) no. 2, pp. 139-147

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The physicomathematical model is proposed for solidification of a metastable drop in the incompressible flow around a rotating cylinder, which simulates the leading edge of the aircraft wing moving in a supercooled cloud. The formulas of classical hydrodynamics are used to describe the velocity field of the carrying medium (air). The dynamics of droplet determining the intensity of its “blow-around” and removal of the crystallization heat (during the solidification stage) and cooling rate of the solidified particulate is investigated on this velocity “background”. The numerical results are presented for the typical set of parameters. The possible application is forced crystallization of supercooled cloud droplets (for example, by the advanced ultrasound radiation) preceding their collisions with the aircraft surface as a method of icing prevention. 
@article{MM_2010_22_2_a10,
     author = {A. V. Kashevarov and A. L. Stasenko},
     title = {Forced crystallization of drops in front of a~body, moving in a~supercooled cloud},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {139--147},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_2_a10/}
}
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A. V. Kashevarov; A. L. Stasenko. Forced crystallization of drops in front of a~body, moving in a~supercooled cloud. Matematičeskoe modelirovanie, Tome 22 (2010) no. 2, pp. 139-147. http://geodesic.mathdoc.fr/item/MM_2010_22_2_a10/