Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 4, Pages 55–62 (Mi vmumm4486)  
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Linear stability of stratified flow of two viscous liquids

O. A. Logvinov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Stability to small perturbations of two-layered parabolic flow in a plane channel is analyzed. The dispersion relation between a disturbance wavelength and its growth rate is valid in the whole range of wavenumbers and for moderately large Reynolds numbers. The results coincide with known asymptotic theory conclusions. Besides, a new effect for flows not only with viscosity stratification but also with density stratification is revealed. The agreement with experimental data is acceptable.
Key words: stratified flow, linear stability, Orr–Sommerfeld equation.
Funding agency Grant number
Russian Science Foundation 21-71-10023
Received: 10.11.2021
English version:
Moscow University Mechanics Bulletin, 2022, Volume 77, Issue 4, Pages 117–126
DOI: https://doi.org/10.3103/S0027133022040021
Document Type: Article
UDC: 532.517
Language: Russian
Citation: O. A. Logvinov, “Linear stability of stratified flow of two viscous liquids”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 4, 55–62; Moscow University Mechanics Bulletin, 77:4 (2022), 117–126
Citation in format AMSBIB
\Bibitem{Log22}
\by O.~A.~Logvinov
\paper Linear stability of stratified flow of two viscous liquids
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 4
\pages 55--62
\mathnet{http://mi.mathnet.ru/vmumm4486}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2022
\vol 77
\issue 4
\pages 117--126
\crossref{https://doi.org/10.3103/S0027133022040021}
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