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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2017, Volume 21, Number 1, Pages 180–196
DOI: https://doi.org/10.14498/vsgtu1527
(Mi vsgtu1527)
 

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)
References:
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.
Funding agency Grant number
Foundation for Assistance to Small Innovative Enterprises in Science and Technology
This work was supported by the Foundation for Assistance to Small Innovative Enterprises in Science and Technology (the UMNIK program).
Received: January 20, 2017
Revised: March 6, 2017
Accepted: March 13, 2017
First online: May 19, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.958:532.51
MSC: Primary 76F02, 76M45; Secondary 76F45, 76R05, 76U05
Language: Russian
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
Citation in format AMSBIB
\Bibitem{BurPro17}
\by N.~V.~Burmasheva, E.~Yu.~Prosviryakov
\paper A large-scale layered stationary convection of~a~incompressible viscous fluid under the action
of shear stresses at the upper boundary. Velocity field investigation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 1
\pages 180--196
\mathnet{http://mi.mathnet.ru/vsgtu1527}
\crossref{https://doi.org/10.14498/vsgtu1527}
\elib{https://elibrary.ru/item.asp?id=29245104}
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  • https://www.mathnet.ru/eng/vsgtu1527
  • https://www.mathnet.ru/eng/vsgtu/v221/i1/p180
  • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:791
    Full-text PDF :421
    References:71
     
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