Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/101862
Title: On Marangoni shear convective flows of inhomogeneous viscous incompressible fluids in view of the Soret effect
Authors: Burmasheva, N. V.
Prosviryakov, E. Y.
Issue Date: 2020
Publisher: Elsevier B.V.
Citation: Burmasheva N. V. On Marangoni shear convective flows of inhomogeneous viscous incompressible fluids in view of the Soret effect / N. V. Burmasheva, E. Y. Prosviryakov. — DOI 10.1016/j.jksus.2020.09.023 // Journal of King Saud University - Science. — 2020. — Vol. 32. — Iss. 8. — P. 3364-3371.
Abstract: A new exact solution is obtained for the Oberbeck-Boussinesq equations describing the steady-state layered (shear) Marangoni convection of a binary viscous incompressible fluid with the Soret effect. When layered (shear) flows are considered, the Oberbeck-Boussinesq system is overdetermined. For it to be solvable, a class of exact solutions is constructed, which allows one to satisfy identically the “superfluous” equation (the incompressibility equation). The found exact solution allows the Oberbeck-Boussinesq system of equations to be reduced to a system of ordinary differential equations by the generalized method of separation of variables. The resulting system of ordinary differential equations has an analytical solution, which is polynomial. The polynomial velocity field describes counterflows in the case of a convective fluid flow. It is demonstrated that the components of the velocity vector can have one stagnant (zero) point inside the region under study. In this case, the corresponding component of the velocity vector can be stratified into two zones, in which the fluid flows in opposite directions. The exact solution describing the velocity field for the Marangoni convection of a binary fluid has non-zero helicity, the flow itself being almost everywhere vortex. © 2020 The Authors
Keywords: COUNTERFLOW
EXACT SOLUTION
MARANGONI CONVECTION
SHEAR FLOW
SORET EFFECT
STAGNANT POINT
URI: http://hdl.handle.net/10995/101862
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85092695811
PURE ID: 20115449
d439a998-26f0-4089-a63d-02edcf035d04
ISSN: 10183647
DOI: 10.1016/j.jksus.2020.09.023
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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