A boundary element simulation of the unsteady motion of a sphere in a cylindrical tube containing a viscoelastic fluid

1992 ◽  
Vol 31 (4) ◽  
pp. 323-332 ◽  
Author(s):  
R. Zheng ◽  
N. Phan-Thien
2012 ◽  
Vol 9 (1) ◽  
pp. 94-97
Author(s):  
Yu.A. Itkulova

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.


1992 ◽  
pp. 117-134
Author(s):  
P. J. Gramann ◽  
J. C. Mätzig ◽  
T. A. Osswald

1988 ◽  
Vol 28 (7) ◽  
pp. 413-420 ◽  
Author(s):  
Tim A. Osswald ◽  
Charles L. Tucker

2011 ◽  
Vol 8 (1) ◽  
pp. 155-162
Author(s):  
Yu.A. Itkulova

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.


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