A. I. Popov, I. S. Lobanov, I. Yu. Popov, T. V. Gerya, “Benchmark solutions for nanoflows”, Nanosystems: Physics, Chemistry, Mathematics, 2014, Volume 5, Issue 3,Pages <nobr>391

Benchmark solutions for nanoflows

A. I. Popov^a, I. S. Lobanov^a, I. Yu. Popov^a, T. V. Gerya^b

^a ITMO University, Kronverkskiy 49, 197101, St. Petersburg, Russia
^b Institute of Geophysics, Department of Earth Sciences, Swiss Federal Instituteof Technology Zurich (ETH), 5 Sonnegstrasse, CH-8092 Zurich, Switzerland

Abstract: Essential viscosity variation creates additional di culties for numerical investigation of flows through nanotubes and nanochannels. Benchmark solutions of the Stokes and continuity equations with variable viscosity are suggested. This is useful for testing of numerical algorithms applied to this problem.

Keywords: nanotube, Stokes flow, benchmark solution.

PACS: 47.10.ad, 47.11.Fg

Received: 03.05.2014
Revised: 11.05.2014

Language: English