Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 2, Pages 33–38 (Mi vmumm391)  
Mechanics

Effect of evaporation and diffusion of a surface-active substance on the instability of a falling liquid film

S. V. Gerasimova, E. I. Mogilevskiia, V. P. Shkadovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Lomonosov Moscow State University, Institute of Mechanics
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Abstract: The linear stability of a flowing-down film of a surface-active solute in the region of active evaporation is analyzed. The phase velocities and the gain coefficients are calculated for the hydrodynamic and diffusion modes of disturbances.
Key words: flowing-down film, surface-active solute, hydrodynamic instability, Marangoni effect.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00405
Received: 14.05.2012
English version:
Moscow University Mechanics Bulletin, 2013, Volume 68, Issue 2, Pages 44–49
DOI: https://doi.org/10.3103/S0027133013020039
Bibliographic databases:
Document Type: Article
UDC: 532.69
Language: Russian
Citation: S. V. Gerasimov, E. I. Mogilevskii, V. P. Shkadova, “Effect of evaporation and diffusion of a surface-active substance on the instability of a falling liquid film”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 2, 33–38; Moscow University Mechanics Bulletin, 68:2 (2013), 44–49
Citation in format AMSBIB
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\by S.~V.~Gerasimov, E.~I.~Mogilevskii, V.~P.~Shkadova
\paper Effect of evaporation and diffusion of a surface-active substance on the instability of a falling liquid film
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 2
\pages 33--38
\mathnet{http://mi.mathnet.ru/vmumm391}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2013
\vol 68
\issue 2
\pages 44--49
\crossref{https://doi.org/10.3103/S0027133013020039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84877745079}
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