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Linear Stability of Stratified Flow of Two Viscous Fluids

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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.

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Funding

The work is supported by the Russian Science Foundation, project no. 21-71-10023.

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Authors and Affiliations

  1. Chair of Gas and Wave Dynamics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    O. A. Logvinov

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  1. O. A. Logvinov
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Correspondence to O. A. Logvinov.

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Logvinov, O.A. Linear Stability of Stratified Flow of Two Viscous Fluids. Moscow Univ. Mech. Bull. 77, 117–126 (2022). https://doi.org/10.3103/S0027133022040021

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