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Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2015, Number 6(38), Pages 90–99 (Mi vtgu498)  

This article is cited in 2 scientific papers (total in 2 papers)

MECHANICS

Non-Newtonian fluid flow in a lid-driven cavity at low Reynolds numbers

M. A. Ponomareva, M. P. Filina, V. A. Yakutenok

Tomsk State University, Tomsk, Russian Federation

Abstract: In this paper, the question about the distribution of kinematic and dynamic properties of a non-Newtonian fluid flow in a lid-driven square cavity is considered. The power-law model is used as the rheological model. The numerical solution is received using the indirect boundary element method in the creeping flow approximation. The study is performed in the range of the power-law index from 0.2 to 1.2. The velocity component profiles at the mid-span of the cavity are obtained. For the case of the Newtonian fluid, a comparison with known results showed a good agreement. It is shown that the position of the main vortex shifts towards the upper moving lid as the power-law index decreases. The fields of effective viscosity and deformation rate intensity inside the flow domain are presented.

Keywords: non-Newtonian fluid, flow in lid-driven cavity, Indirect Boundary Element Method.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation МК-3687.2014.1
Russian Foundation for Basic Research 14-08-31579 мол_а


DOI: https://doi.org/10.17223/19988621/38/11

Full text: PDF file (1099 kB)
References: PDF file   HTML file

Bibliographic databases:

UDC: 532.516.5
Received: 15.11.2015

Citation: M. A. Ponomareva, M. P. Filina, V. A. Yakutenok, “Non-Newtonian fluid flow in a lid-driven cavity at low Reynolds numbers”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2015, no. 6(38), 90–99

Citation in format AMSBIB
\Bibitem{PonFilYak15}
\by M.~A.~Ponomareva, M.~P.~Filina, V.~A.~Yakutenok
\paper Non-Newtonian fluid flow in a lid-driven cavity at low Reynolds numbers
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2015
\issue 6(38)
\pages 90--99
\mathnet{http://mi.mathnet.ru/vtgu498}
\crossref{https://doi.org/10.17223/19988621/38/11}
\elib{https://elibrary.ru/item.asp?id=25302181}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. A. Ponomareva, M. P. Filina, V. A. Yakutenok, “Tsirkulyatsionnoe techenie vysokovyazkoi nenyutonovskoi zhidkosti v kanale odnoshnekovogo ekstrudera”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 2(40), 97–107  mathnet  crossref  elib
    2. M. A. Mikhaylenko, “An improved regularized fundamental solution to the 2-D steady-state Stokes equation”, Eng. Anal. Bound. Elem., 91 (2018), 103–109  crossref  mathscinet  zmath  isi  scopus
  • Вестник Томского государственного университета. Математика и механика
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