Geodesic
Studying the slip phenomenon for a~viscous fluid flow in a~curved channel
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2014), pp. 35-44

Voir la notice de l'article provenant de la source Math-Net.Ru

The pressure flow of a viscous incompressible fluid in a channel curved at the right angle is studied. We consider three models of the interaction between the fluid and solid wall that satisfy the following boundary conditions: no-slip, Navier slip, and slip with a limit stress. The problem is solved numerically using a finite-difference algorithm based on the SIMPLE scheme. The steady pattern flow with the formation of the circulation areas around corner points is demonstrated. It is characterized by one-dimensional flow regions near inlet and outlet boundaries. Parametric studies of the influence of interaction models and main parameters on the flow pattern are performed. In particular, tangent velocity profiles at the solid wall as functions of the slip length, circulation areas' sizes, and limit stress are constructed.
Keywords: flow, boundary condition, curved channel, numerical simulation.
Mots-clés : viscous fluid 
@article{VTGU_2014_2_a3,
     author = {E. I. Borzenko and O. A. Diakova and G. R. Shrager},
     title = {Studying the slip phenomenon for a~viscous fluid flow in a~curved channel},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {35--44},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2014_2_a3/}
}
TY  - JOUR
AU  - E. I. Borzenko
AU  - O. A. Diakova
AU  - G. R. Shrager
TI  - Studying the slip phenomenon for a~viscous fluid flow in a~curved channel
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2014
SP  - 35
EP  - 44
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTGU_2014_2_a3/
LA  - ru
ID  - VTGU_2014_2_a3
ER  - 
%0 Journal Article
%A E. I. Borzenko
%A O. A. Diakova
%A G. R. Shrager
%T Studying the slip phenomenon for a~viscous fluid flow in a~curved channel
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2014
%P 35-44
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTGU_2014_2_a3/
%G ru
%F VTGU_2014_2_a3
E. I. Borzenko; O. A. Diakova; G. R. Shrager. Studying the slip phenomenon for a~viscous fluid flow in a~curved channel. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2014), pp. 35-44. http://geodesic.mathdoc.fr/item/VTGU_2014_2_a3/