Geodesic
Linear stability of stratified flow of two viscous liquids
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2022), pp. 55-62

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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. 
@article{VMUMM_2022_4_a7,
     author = {O. A. Logvinov},
     title = {Linear stability of stratified flow of two viscous liquids},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {55--62},
     publisher = {mathdoc},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2022_4_a7/}
}
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O. A. Logvinov. Linear stability of stratified flow of two viscous liquids. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2022), pp. 55-62. http://geodesic.mathdoc.fr/item/VMUMM_2022_4_a7/