Geodesic
Features of the behavior of a liquid film heated from above and placed over deep liquid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 12, pp. 2082-2090 
A. S. Ovcharova. Features of the behavior of a liquid film heated from above and placed over deep liquid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 12, pp. 2082-2090. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_12_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The features of rupture occurring in a liquid film lying on deep liquid are studied. A thermal load applied to the film free surface leads to its deformation and rupture. The process is studied using a mathematical model describing the motion of a thin viscous nonisothermal liquid layer. The model is based on the two-dimensional Navier–Stokes equations. To solve them, the boundary conditions on the film-gas and film-liquid interfaces are written in explicit form. The effect of the thermal load on the film rupture is analyzed numerically depending on the Marangoni number and the stresses on the film-liquid interface. The results of solving model problems are presented.

[1] Ovcharova A. S., “Obrazovanie kapel pri razryve zhidkoi plenki pod deistviem teplovoi nagruzki”, Izv. RAN, ser. MZhG, 2011, no. 1, 135–142

[2] Ovcharova A. S., “Features of the rupture of free hanging liquid film under the action of a thermal load”, Physics of Fluids, 23 (2011), 102106 | DOI

[3] Roache P. J., Computational fluid dynamics, Hermosa Publishers, Albuquerque, New Mexico, 1976 ; Rouch P., Vychislitelnaya gidrodinamika, Mir, M., 1980 | MR | Zbl

[4] Landau L. D., Lifshits E. M., Mekhanika sploshnykh sred, Gostekhizdat, M., 1954

[5] Napolitano L. G., “Thermodynamics and dynamics of surface phases”, Acta Astronaut., 6:9 (1979), 1093–1112 | DOI | Zbl

[6] Pukhnachev V. V., “Usloviya na granitse razdela zhidkostei i na tverdykh stenkakh”: Andreev V. K., Gaponenko Yu. A., Goncharova O. N., Pukhnachev V. V., Sovremennye matem. modeli konvektsii, Fizmatlit, M., 2008

[7] Ovsyannikov L. V., “Lagranzhevy priblizheniya v teorii voln”: Ovsyannikov L. V., Makarenko N. I., Nalimov V. I., Nelineinye problemy teorii poverkhnostnykh i vnutrennikh voln, Nauka, Novosibirsk, 1985

[8] Protopopov B. E., “Chislennoe modelirovanie poverkhnostnykh voln v kanale peremennoi glubiny”, Dinamika sploshnoi sredy, 84 (1988), 91–105 | Zbl

[9] A. A. Abramzon, E. D. Schukin (red.), Poverkhnostnye yavleniya i poverkhnostno-aktivnye veschestva, Spravochnik, Khimiya, L., 1984

[10] Adam N. K., Fizika i khimiya poverkhnostei, Per. s angl., Gostekhizdat, M.–L., 1947

[11] Gershuni G. Z., Zhukhovitskii E. M., Konvektivnaya ustoichivost neszhimaemoi zhidkosti, Nauka, M., 1972

[12] Ovcharova A. S., “Chislennoe modelirovanie deformatsii svobodnovisyaschikh plenok pod deistviem teplovoi nagruzki”, Zh. vychisl. tekhnologii, 12:4 (2007), 85–95 | MR | Zbl