On the metric graph model for flows in tubular nanostructures
https://doi.org/10.17586/2220-8054-2019-10-1-6-11
Abstract
A metric graph model is suggested for the Stokes flow concentrated in the vicinity of a network embedded in R3. As a basic problem, we consider the case corresponding to strong variation of the viscosity and density in a cylinder of small radius. An equation for the main term of the asymptotics is obtained. As for a graph structure, coupling conditions are assumed at the graph vertices.
Supporting agencies: This work was partially financially supported by the Government of the Russian Federation (grant 08-08), by grant 16-11-10330 of Russian Science Foundation. E. Milakis was partially supported by Research Promotion Foundation (Cyprus) grant no Excellence/1216/0025.
About the Authors
M. O. Smolkina
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, Saint Petersburg, 197101
I. Y. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, Saint Petersburg, 197101
I. V. Blinova
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, Saint Petersburg, 197101
E. Milakis
University of Cyprus
Cyprus
Cyprus
P.O.Box 20537, CY-1678 Nicosia
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Review
For citations:
Smolkina M.O., Popov I.Y., Blinova I.V., Milakis E. On the metric graph model for flows in tubular nanostructures. Nanosystems: Physics, Chemistry, Mathematics. 2019;10(1):6-11. https://doi.org/10.17586/2220-8054-2019-10-1-6-11
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