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Numerical studies of slow viscous rotating flow past a sphere. II
Author(s) -
Raghavarao C. V.,
Pramadavalli K.
Publication year - 1989
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/fld.1650091102
Subject(s) - streamlines, streaklines, and pathlines , vorticity , reynolds number , mathematics , navier–stokes equations , rotation (mathematics) , flow (mathematics) , mathematical analysis , physics , algebraic number , angular velocity , classical mechanics , compressibility , mechanics , geometry , vortex , turbulence
The Navier–Stokes equations, which are the governing equations for a steady, viscous, incompressible fluid rotating about the z ‐axis with angular velocity ω, are linearized using the Oseen approximation. Two parameters, namely the Reynolds number Re = Ua/v and Re ω = 2ω a 2 / v (the Reynolds number w.r.t. rotation), enter the linearized equations. These equations are solved by the Peaceman–Rachford ADI method and the resulting algebraic equations are solved by the SOR method. Streamlines are plotted and compared with the Oseen solution for the non‐rotating case. The magnitude of the vorticity vector with increasing θ is also plotted.