Linear stability of stratified flow of two viscous fluids

DOI10.3103/S0027133022040021OpenAlexW4312611212MaRDI QIDQ2696177

Oleg A. Logvinov

Publication date: 6 April 2023

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027133022040021

zbMATH Keywords

dispersion relationOrr-Sommerfeld equationdensity stratificationviscosity stratificationdisturbance wavelengthplane channel parabolic flow

Mathematics Subject Classification ID

Stratification effects in viscous fluids (76D50) Parallel shear flows in hydrodynamic stability (76E05)

Cites Work

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• An experimental/theoretical investigation of interfacial instabilities in superposed pressure-driven channel flow of Newtonian and well characterized viscoelastic fluids. I: Linear stability and encapsulation effects
• Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell
• Linear stability of plane Poiseuille flow of two superposed fluids
• Long waves at the interface between two viscous fluids
• Direct numerical simulations of two-layer viscosity-stratified flow
• Instability due to viscosity stratification

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