Analytical benchmark solutions for nanotube flows with variable viscosity
https://doi.org/10.17586/2220-8054-2015-6-5-672-679
Abstract
Three-dimensional Stokes equations with variable viscosity in cylindrical coordinates are considered. This case is natural for flow through a nanotube in biological applications. We obtain exact particular solutions – a benchmark for numerical approache.
Supporting agencies: 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 No 14.Z50.31.0031 and No. 1.754.2014/K)), by grant MK-5001.2015.1 of the President of the Russian Federation. The authors thank Prof. P. Tackley and Prof. T. Gerya for interesting discussions.
About the Authors
I. V. Makeev
ITMO University
Russian Federation
Russian Federation
49, Kronverkskiy, St. Petersburg, 197101
I. V. Blinova
ITMO University
Russian Federation
Russian Federation
49, Kronverkskiy, St. Petersburg, 197101
I. Yu. Popov
ITMO University
Russian Federation
Russian Federation
49, Kronverkskiy, St. Petersburg, 197101
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Review
For citations:
Makeev I.V., Blinova I.V., Popov I.Yu. Analytical benchmark solutions for nanotube flows with variable viscosity. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(5):672-679. https://doi.org/10.17586/2220-8054-2015-6-5-672-679
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