NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2014, 5 (2), P. 391-399
BENCHMARK SOLUTIONS FOR NANOFLOWS
A. I. Popov – ITMO University, Kronverkskiy 49, 197101, St. Petersburg, Russia; popov239@gmail.com
I. S. Lobanov – ITMO University, Kronverkskiy 49, 197101, St. Petersburg, Russia
I.Yu. Popov – ITMO University, Kronverkskiy 49, 197101, St. Petersburg, Russia
T. V. Gerya – Institute of Geophysics, Department of Earth Sciences, Swiss Federal Institute of Technology Zurich (ETH), 5 Sonnegstrasse, CH-8092 Zurich, Switzerland; taras.gerya@erdw.ethz.ch
Essential viscosity variation creates additional diculties 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