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. Three-dimensional numerical simulation of viscous liquid flow in channel of variable cross-section using boundary element method Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 8 (2011). 155–162.
2011. Vol. 8. Issue 1, Pp. 155–162
URL: http://proc.uimech.org/uim2011.1.014
DOI: 10.21662/uim2011.1.014
Three-dimensional numerical simulation of viscous liquid flow in channel of variable cross-section using boundary element method
Itkulova Yu.A.
Institute of Mechanics, Ufa
Center Micro- and nanoscale dynamics of dispersed systems, Bashkir State University, Ufa

Abstract

In the present work the three-dimensional flow of a viscous liquid described by Stokes equations is studied in a cylindrical tube and a channel of variable cross-section. A qualitative triangulation of the surface of a channel variable cross-section is constructed. The problem is solved numerically using the boundary element method in two modifications. A comparison of the method modifications for a channel of different radius of a neck, as well as for the Poiseuille flow with an analytical solution. It is found out the critical radius of the channel neck at which the vortices arise.