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This article is cited in 28 scientific papers (total in 28 papers)
Mathematical Modeling, Numerical Methods and Software Complexes
A large-scale layered stationary convection of a incompressible viscous fluid under the action
of shear stresses at the upper boundary. Velocity field investigation
N. V. Burmashevaab, E. Yu. Prosviryakovb a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg, 620002, Russian Federation
b Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg, 620049, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
The exact solution of the definition of convective motions in a layered large-scale flows of a viscous incompressible fluid in a steady case is considered. It was shown that the received problem is, firstly, overdetermined and, secondly, a nonlinear (due to the presence of members of a convective derivative in a heat conduction equation). Also it was shown that the solution class choice can eliminate the override, and the specification of a boundary conditions can reduce the problem to the study of a thermal capillary convection (convection Benard–Marangoni). Then conditions of the counterflow appearance are defined, and their possible amount is investigated. In addition, the analysis of the nonvortex region in the test flow is made. And it was shown that under certain combinations of system parameters the vortex can change the direction.
Keywords:
layered flow, counterflow, stagnant point, exact solution.
Received: January 20, 2017 Revised: March 6, 2017 Accepted: March 13, 2017 First online: May 19, 2017
Citation:
N. V. Burmasheva, E. Yu. Prosviryakov, “A large-scale layered stationary convection of a incompressible viscous fluid under the action
of shear stresses at the upper boundary. Velocity field investigation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:1 (2017), 180–196
Linking options:
https://www.mathnet.ru/eng/vsgtu1527 https://www.mathnet.ru/eng/vsgtu/v221/i1/p180
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