Steady Stokes flow between confocal semi-ellipses
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.
Supporting agencies: This work was partially financially supported by the Government of the Russian Fed- eration (grant 074-U01), by Ministry of Science and Education of the Russian Federation (GOSZADANIE 2014/190, Projects No 14.Z50.31.0031 and No. 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.
About the Authors
I. V. Makeev
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
I. Yu. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
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Review
For citations:
Makeev I.V., Popov I.Yu. Steady Stokes flow between confocal semi-ellipses. Nanosystems: Physics, Chemistry, Mathematics. 2016;7(2):324-331. https://doi.org/10.17586/2220-8054-2016-7-2-324-331
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