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.
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
\Bibitem{Tri18}
\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}
Linking options:
https://www.mathnet.ru/eng/pmtf618
https://www.mathnet.ru/eng/pmtf/v59/i1/p61
This publication is cited in the following 2 articles:
Yu. Ya. Trifonov, “Calculation of linear and nonlinear stability of two-layer liquid flow in a horizontal plane channel”, J. Appl. Mech. Tech. Phys., 62:3 (2021), 429–440
Himanshu Mishra, Anubhab Roy, S. Vengadesan, “Stability of two-layer flows past slippery surfaces. II. Inclined channels”, Physics of Fluids, 33:8 (2021)
Citation in format AMSBIB
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