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Analytical benchmark solutions for nanotube flows with variable viscosity
I. V. Makeev, I. V. Blinova, I. Yu. Popov ITMO University, 49, Kronverkskiy, St. Petersburg, 197101, Russia
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.
Keywords:
Stokes flow, variable viscosity, multigrid methods, benchmark solutions.
Received: 10.10.2015
Citation:
I. V. Makeev, I. V. Blinova, I. Yu. Popov, “Analytical benchmark solutions for nanotube flows with variable viscosity”, Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015), 672–679
Linking options:
https://www.mathnet.ru/eng/nano980 https://www.mathnet.ru/eng/nano/v6/i5/p672
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Abstract page: | 71 | Full-text PDF : | 11 |
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