Email this article Two-dimensional convection of an incompressible viscous fluid with the heat exchange on the free border
- Authors: Vlasova S.S1, Prosviryakov E.Y.2
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Affiliations:
- Kazan National Research Technical University named after A. N. Tupolev
- Institute of Engineering Science, Ural Branch of RAS
- Issue: Vol 20, No 3 (2016)
- Pages: 567-577
- Section: Articles
- URL: https://bakhtiniada.ru/1991-8615/article/view/20521
- DOI: https://doi.org/10.14498/vsgtu1483
- ID: 20521
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Abstract
The exact stationary solution of the boundary-value problem that describes the convective motion of an incompressible viscous fluid in the two-dimensional layer with the square heating of a free surface in Stokes’s approach is found. The linearization of the Oberbeck-Boussinesq equations allows one to describe the flow of fluid in extreme points of pressure and temperature. The condition under which the counter-current flows (two counter flows) in the fluid can be observed, is introduced. If the stagnant point in the fluid exists, six non-closed whirlwinds can be observed.
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##article.viewOnOriginalSite##About the authors
Svetlana S Vlasova
Kazan National Research Technical University named after A. N. Tupolev
Email: sveta040790@yandex.ru
(sveta040790@yandex.ru; Corresponding Author), Postgraduate Student, Dept. of Machinery Engineering & Engineering Graphics 10, Karl Marx st., Kazan, 420111, Russian Federation
Evgeny Yu Prosviryakov
Institute of Engineering Science, Ural Branch of RAS
Email: evgen_pros@mail.ru
(Cand. Phys. & Math. Sci.; evgenpros@mail.ru), Leading Researcher, Laboratory of Applied Mechanics 34, Komsomolskaya st., Ekaterinburg, 620049, Russian Federation
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