Benchmark solutions for nanoflows
Abstract
Essential viscosity variation creates additional difficulties 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.
Supporting agencies: This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by the Ministry of Science and Education of the Russian Federation (GOSZADANIE 2014/190, Project 14.Z50.31.0031), by grants of the President of Russia (state contracts 14.124.13.2045-MK and 14.124.13.1493-MK).
About the Authors
A. I. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy 49, 197101, St. Petersburg
I. S. Lobanov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy 49, 197101, St. Petersburg
I. Yu. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy 49, 197101, St. Petersburg
T. V. Gerya
Institute of Geophysics, Department of Earth Sciences, Swiss Federal Institute of Technology Zurich (ETH)
Switzerland
Switzerland
5 Sonnegstrasse, CH-8092 Zurich
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Review
For citations:
Popov A.I., Lobanov I.S., Popov I.Yu., Gerya T.V. Benchmark solutions for nanoflows. Nanosystems: Physics, Chemistry, Mathematics. 2014;5(3):391-399.
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