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A NUMERICAL STUDY OF THE FLOW OVER ELLIPSOIDAL OBJECTS INSIDE A CYLINDRICAL TUBE

✍ Scribed by Q. XU; E. E. MICHAELIDES


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
524 KB
Volume
22
Category
Article
ISSN
0271-2091

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✦ Synopsis


A numerical scheme is developed to obtain the flow field around one, two and five ellipsoidal objects inside a cylindrical tube. The scheme uses the Galerkin finite element technique and the primitive variable ( w p ) formulation. The two-dimensional incompressible Navier-Stokes equations are solved numerically by using the direct mixed interpolation method. A Picard iteration scheme is used for the solution of the resulting system of non-linear algebraic equations. The computer code is verified by checking with known analytical solutions for the flow past a sphere. Results for the shear stress distributions along the ellipsoids, forces and drag coefficients are obtained for different geometric ratios and Reynolds numbers. Some of the intermediate computational results on the velocity fields developed are also reported.


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## Abstract The stability of the steady flow of a viscous liquid through a thick‐wall, three‐layer, viscoelastic tube with different rheological parameters for each layer is studied. The temporal and spatial eigenvalues of the system are found. Influence of the material parameters of the layers and