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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 3, Pages 76–85
DOI: https://doi.org/10.17377/sibjim.2015.18.308 (Mi sjim896) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Steady motion of a ball in a Stokes–Poiseuille flow

V. N. Starovoitovab

a Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
b Lavrent'ev Institute of Hydrodynamics SB RAS, 15 Lavrent'ev av., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2015.18.308
Abstract: The existence of steady solutions to the problem of the motion of a rigid ball in a cylindrical pipe filled with a viscous incompressible fluid is proved. The cross section of the pipe has an arbitrary form and the fluid flow is governed by the Stokes equations. At the infinity, the velocity profile tends to that of the Poiseuille flow. It is established that a steady solution exists for any position of the ball in the pipe. The ball performs a straight motion along the generatrices of the pipe and its linear and angular velocities depend on the position of the ball's center in the cross section of the cylinder.
Keywords: viscous incompressible fluid, rigid body, cylindrical pipe, steady motion.
Received: 27.02.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 4, Pages 588–597
DOI: https://doi.org/10.1134/S1990478915040158
Bibliographic databases:
Document Type: Article
UDC: 517.958+532.582.92
Language: Russian
Citation: V. N. Starovoitov, “Steady motion of a ball in a Stokes–Poiseuille flow”, Sib. Zh. Ind. Mat., 18:3 (2015), 76–85; J. Appl. Industr. Math., 9:4 (2015), 588–597
Citation in format AMSBIB
\Bibitem{Sta15}
\by V.~N.~Starovoitov
\paper Steady motion of a~ball in a~Stokes--Poiseuille flow
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 3
\pages 76--85
\mathnet{http://mi.mathnet.ru/sjim896}
\crossref{https://doi.org/10.17377/sibjim.2015.18.308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549842}
\elib{https://elibrary.ru/item.asp?id=23877193}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 4
\pages 588--597
\crossref{https://doi.org/10.1134/S1990478915040158}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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