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.

PACS: 68.90.+g, 05.60.-k

Received: 10.10.2015

Language: English

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

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