NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2019, 10 (1), P. 6-11
On the metric graph model for flows in tubular nanostructures
M. O. Smolkina – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia; email@example.com
I. Y. Popov – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia; firstname.lastname@example.org
I. V. Blinova – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia; email@example.com
E. Milakis – University of Cyprus, P.O.Box 20537, CY-1678 Nicosia, Cyprus; firstname.lastname@example.org
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.
Keywords: stokes flow, metric graph.