ISSN 2542–0380
Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics


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Itkulova Yu.A. Boundary element method in numerical study of three-dimensional Stokes flows in channels of arbitrary shape Proceedings of the Mavlyutov Institute of Mechanics. 9 (2012) 1. 94–97.
2012. Vol. 9. Issue 1, Pp. 94–97
URL: http://proc.uimech.org/uim2012.1.018
DOI: 10.21662/uim2012.1.018
Boundary element method in numerical study of three-dimensional Stokes flows in channels of arbitrary shape
Itkulova Yu.A.
Center Micro- and nanoscale dynamics of dispersed systems, Bashkir State University, Ufa
Mavlyutov Institute of Mechanics, Ufa

Abstract

In the present work creeping three-dimensional flows of a viscous liquid in a cylindrical tube and a channel of variable cross-section are studied. A qualitative triangulation of the surface of a cylindrical tube, a smoothed and experimental channel of a variable cross section is constructed. The problem is solved numerically using boundary element method in several modifications for a periodic and non-periodic flows. The obtained numerical results are compared with the analytical solution for the Poiseuille flow.

The work is supported by the Grant of the Ministry of Education and Science of the Russian Federation (11.G34.31.0040).