Exact solutions to the Oberbeck-Boussinesq equations for shear flows of a viscous binary fluid with allowance made for the Soret effect

DOI10.26516/1997-7670.2021.37.17zbMath1502.35105OpenAlexW3199100099MaRDI QIDQ823949

Evgeniĭ Yur'evich Prosviryakov, Natal'ya Vladimirovna Burmasheva

Publication date: 14 December 2021

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1382

zbMATH Keywords

exact solutionoverdetermined systemshear flowSoret effectviscous binary fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Free convection (76R10) Overdetermined systems of PDEs with variable coefficients (35N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Steady thermo-diffusive shear Couette flow of incompressible fluid. Velocity field analysis ⋮ On some classes of free convection motions ⋮ Exact Solutions to the Navier – Stokes Equations for Describing the Convective Flows of Multilayer Fluids

Cites Work

• Note on a class of exact solutions in magneto-hydrodynamics
• Influence of the transverse temperature drop on the stability of two-layer fluid flows with evaporation
• A class of exact solutions for two-dimensional equations of geophysical hydrodynamics with two Coriolis parameters
• Convective layered flows of a vertically whirling viscous incompressible fluid. Velocity field investigation

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