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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (5), P. 672–679

Analytical benchmark solutions for nanotube flows with variable viscosity

I.V. Makeev – ITMO University, 49, Kronverkskiy, St. Petersburg, 197101, Russia
I. V. Blinova – ITMO University, 49, Kronverkskiy, St. Petersburg, 197101, Russia
I. Yu. Popov – ITMO University, 49, Kronverkskiy, St. Petersburg, 197101, Russia; popov1955@gmail.com

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.

PACS 68.90.+g, 05.60.-k

DOI 10.17586/2220-8054-2015-6-5-672-679

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