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A NUMERICAL STUDY OF THE FLOW OVER ELLIPSOIDAL OBJECTS INSIDE A CYLINDRICAL TUBE
Author(s) -
XU Q.,
MICHAELIDES E. E.
Publication year - 1996
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19960615)22:11<1075::aid-fld396>3.0.co;2-4
Subject(s) - mathematics , finite element method , galerkin method , ellipsoid , flow (mathematics) , reynolds number , compressibility , interpolation (computer graphics) , geometry , mathematical analysis , mechanics , classical mechanics , physics , turbulence , motion (physics) , astronomy , thermodynamics
Abstract 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 (u – v – 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.