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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 5, Pages 672–679
DOI: https://doi.org/10.17586/2220-8054-2015-6-5-672-679
(Mi nano980)
 

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
Bibliographic databases:
Document Type: Article
PACS: 68.90.+g, 05.60.-k
Language: English
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
Citation in format AMSBIB
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\by I.~V.~Makeev, I.~V.~Blinova, I.~Yu.~Popov
\paper Analytical benchmark solutions for nanotube flows with variable viscosity
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 5
\pages 672--679
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\crossref{https://doi.org/10.17586/2220-8054-2015-6-5-672-679}
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\elib{https://elibrary.ru/item.asp?id=24363526}
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