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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 2, Pages 21–31 (Mi pmtf1194)  

This article is cited in 2 scientific papers (total in 2 papers)

Model of a wavy flow in a falling film of a viscous liquid

S. P. Aktershev, S. V. Alekseenko

S.S. Kutateladze Institute of Thermophysics, Siberian Division of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (279 kB) Citations (2)
Abstract: A new model is developed for describing long-wave perturbations in a falling film of a viscous liquid. The model is based on an integral approach and an expansion of the velocity profile into a series in linearly independent basis functions of a boundary-value problem. A linear analysis of film flow stability is performed, and dispersion dependences are obtained. Results predicted by the new model are demonstrated to be in good agreement with available experimental data on the film flow over a gently sloping surface.
Keywords: falling liquid film, flow stability, waves, integral approach, basis functions.
Received: 02.05.2012
Revised: 16.08.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 2, Pages 185–194
DOI: https://doi.org/10.1134/S0021894413020028
Bibliographic databases:
Document Type: Article
UDC: 532.59
Language: Russian
Citation: S. P. Aktershev, S. V. Alekseenko, “Model of a wavy flow in a falling film of a viscous liquid”, Prikl. Mekh. Tekh. Fiz., 54:2 (2013), 21–31; J. Appl. Mech. Tech. Phys., 54:2 (2013), 185–194
Citation in format AMSBIB
\Bibitem{AktAle13}
\by S.~P.~Aktershev, S.~V.~Alekseenko
\paper Model of a wavy flow in a falling film of a viscous liquid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 2
\pages 21--31
\mathnet{http://mi.mathnet.ru/pmtf1194}
\elib{https://elibrary.ru/item.asp?id=20653868}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 2
\pages 185--194
\crossref{https://doi.org/10.1134/S0021894413020028}
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  • https://www.mathnet.ru/eng/pmtf/v54/i2/p21
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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