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Nanosystems: Physics, Chemistry, Mathematics, 2016, Volume 7, Issue 2, Pages 324–331
DOI: https://doi.org/10.17586/2220-8054-2016-7-2-324-331 (Mi nano205) 		 
CONTRIBUTED TALKS

Steady Stokes flow between confocal semi-ellipses

I. V. Makeev, I. Yu. Popov

ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia
Full-text PDF (502 kB)
DOI: https://doi.org/10.17586/2220-8054-2016-7-2-324-331
Abstract: Analytical solutions for the Stokes equations in a cavity bounded by two confocal semi-ellipses and two line segments are derived here. The exact solution for the stream function, in the form of a Fourier series, is obtained. Eddy structure is described for different boundary conditions.
Keywords: Stokes flow, biharmonic equation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 074-U01
2014/190
14.Z50.31.0031
1.754.2014/K
MK-5001.2015.1
Russian Science Foundation 16-11-10330
This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by Ministry of Science and Education of the Russian Federation (GOSZADANIE 2014/190, Projects № 14.Z50.31.0031 and № 1.754.2014/K), by grant MK-5001.2015.1 of the President of the Russian Federation, by grant 16-11-10330 of Russian Science Foundation.
Received: 22.01.2016
Bibliographic databases:
Document Type: Article
PACS: 68.90.+g, 05.60.-k, 62.10.+s
Language: English
Citation: I. V. Makeev, I. Yu. Popov, “Steady Stokes flow between confocal semi-ellipses”, Nanosystems: Physics, Chemistry, Mathematics, 7:2 (2016), 324–331
Citation in format AMSBIB
\Bibitem{MakPop16}
\by I.~V.~Makeev, I.~Yu.~Popov
\paper Steady Stokes flow between confocal semi-ellipses
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2016
\vol 7
\issue 2
\pages 324--331
\mathnet{http://mi.mathnet.ru/nano205}
\crossref{https://doi.org/10.17586/2220-8054-2016-7-2-324-331}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000387463100005}
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