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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 1, Pages 61–70
DOI: https://doi.org/10.15372/PMTF20180107
(Mi pmtf618)
 

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

Calculation of linear stability of a stratified gas-liquid flow in an inclined plane channel

Yu. Ya. Trifonov

Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (271 kB) Citations (2)
Abstract: Linear stability of liquid and gas counterflows in an inclined channel is considered. The full Navier–Stokes equations for both phases are linearized, and the dynamics of periodic disturbances is determined by means of solving a spectral problem in wide ranges of Reynolds numbers for the liquid and vapor velocity. Two unstable modes are found in the examined ranges: surface mode (corresponding to Kapitsa waves at small velocities of the gas) and shear mode in the gas phase. The wave length and the phase velocity of neutral disturbances of both modes are calculated as functions of the Reynolds number for the liquid. It is shown that these dependences for the surface mode are significantly affected by the gas velocity.
Keywords: viscous film flow, nonlinear waves, stability.
Funding agency Grant number
Russian Science Foundation 16-19-10449
Received: 06.12.2016
Revised: 16.01.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 1, Pages 52–60
DOI: https://doi.org/10.1134/S0021894418010078
Bibliographic databases:
Document Type: Article
UDC: 532.51
Language: Russian
Citation: Yu. Ya. Trifonov, “Calculation of linear stability of a stratified gas-liquid flow in an inclined plane channel”, Prikl. Mekh. Tekh. Fiz., 59:1 (2018), 61–70; J. Appl. Mech. Tech. Phys., 59:1 (2018), 52–60
Citation in format AMSBIB
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\by Yu.~Ya.~Trifonov
\paper Calculation of linear stability of a stratified gas-liquid flow in an inclined plane channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 1
\pages 61--70
\mathnet{http://mi.mathnet.ru/pmtf618}
\crossref{https://doi.org/10.15372/PMTF20180107}
\elib{https://elibrary.ru/item.asp?id=32474739}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 1
\pages 52--60
\crossref{https://doi.org/10.1134/S0021894418010078}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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