|
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 4, Pages 45–54
(Mi pmtf1156)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
Unsteady motion of a viscous incompressible fluid in a tube with a deformable wall
A. E. Medvedev Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
A flow of a viscous incompressible fluid in a deformable tube is considered. Solutions of unsteady three-dimensional Navier–Stokes equations are obtained for low-Reynolds-number flows in the tube (under the condition of small deformations of the wall): generalized peristaltic flow and flow with elliptical deformations of the vessel walls. At small unsteady deformations of the tube walls, the solutions satisfy the equations and boundary conditions with an error smaller than the tube wall deformation level by an order of magnitude. In the case of elliptical deformations of the vessel, the solution agrees well with experimental data.
Keywords:
viscous incompressible fluid, Navier–Stokes equations, analytical solution, Poiseuille flow.
Received: 12.05.2010 Revised: 14.12.2012
Citation:
A. E. Medvedev, “Unsteady motion of a viscous incompressible fluid in a tube with a deformable wall”, Prikl. Mekh. Tekh. Fiz., 54:4 (2013), 45–54; J. Appl. Mech. Tech. Phys., 54:4 (2013), 552–560
Linking options:
https://www.mathnet.ru/eng/pmtf1156 https://www.mathnet.ru/eng/pmtf/v54/i4/p45
|
|