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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - A. V. Kashevarov
AU  - A. L. Stasenko
TI  - Forced crystallization of drops in front of a~body, moving in a~supercooled cloud
JO  - Matematičeskoe modelirovanie
PY  - 2010
SP  - 139
EP  - 147
VL  - 22
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2010_22_2_a10/
LA  - ru
ID  - MM_2010_22_2_a10
ER  - 
%0 Journal Article
%A A. V. Kashevarov
%A A. L. Stasenko
%T Forced crystallization of drops in front of a~body, moving in a~supercooled cloud
%J Matematičeskoe modelirovanie
%D 2010
%P 139-147
%V 22
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2010_22_2_a10/
%G ru
%F MM_2010_22_2_a10
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/

[1] Böttger R., Untersuchungen bei die Eignung von Scheibe und Kegel zur Messung des Eisbelagesmittel des Aerodynamischen Wiederstandes, IZWB FB No 462, Berlin, 1935, 12 S.

[2] Thomas S. K., Cassoni R. P., MacArthur C. D., “Aircraft anti-icing and de-icing techniques and modeling”, J. Aircraft, 33:5 (1996), 841–854 | DOI

[3] Bidwell C. G., Collection efficiency and ice accretion calculation for a Boeing 737–300 inlet, SAE/AIAA Paper 96–5570, 1996, 21 pp.

[4] Birch S., “Simulating aircraft icing”, Aerospace Eng., 19:10 (1999), 19–20

[5] Ryeson C. C., Koenig G. G., Reehorst A. L. et al., “Advancing icing detection”, Aerospace Eng., 20:11 (2000), 22–24

[6] Osiptsov A. N., “Mathematical modeling of dusty-gas boundary layers”, Appl. Mech. Rev., 50:6 (1997), 357–370 | DOI

[7] Stasenko A. L., Tolstykh A. I., Shirobokov D. A., “K modelirovaniyu oledeneniya samoleta: dinamika kapel i poverkhnost smachivaniya”, Matematicheskoe modelirovanie, 13:6 (2001), 81–86 | Zbl

[8] Stasenko A. L., Tolstykh A. I., Shirobokov D. A., “Dinamika deformiruemykh kapel u poverkhnosti kryla v vyazkom vozdukhe”, Izv. RAN. MZhG, 2002, no. 5, 180–190 | Zbl

[9] Khrgian A. Kh., Fizika atmosfery, Fizmatlit, M., 1958, 476 pp.

[10] Skripov V. P., Metastabilnaya zhidkost, Nauka, M., 1972, 312 pp.

[11] Muratova T. N., Labuntsov D. A., “Kineticheskii analiz protsessov ispareniya i kondensatsii”, TVT, 7:5 (1969), 959–967

[12] Kogan M. N., Makashev N. K., “O roli sloya Knudsena v teorii geterogennykh reaktsii i v techeniyakh s reaktsiyami na poverkhnosti”, Izv. AN SSSR. MZhG, 1971, no. 6, 3–11

[13] Garkusha V. I., Stasenko A. L., “Ob'emnaya neizotermichnost chastits v neodnofaznykh potokakh”, Izv. AN SSSR. Energetika i transport, 1977, no. 2, 134–143

[14] Stasenko A. L., Fizicheskaya mekhanika mnogofaznykh potokov, Izd-vo MFTI, M., 2005, 136 pp.

[15] Frenkel Ya. I., Kineticheskaya teoriya zhidkostei, Nauka, L., 1975, 592 pp.

[16] Lykov A. V., Teoriya teploprovodnosti, Vysshaya shkola, M., 1962, 600 pp.