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20 June 2004 Numerical studies of viscous incompressible flow between two rotating concentric spheres
E. O. Ifidon
J. Appl. Math. 2004(2): 91-106 (20 June 2004). DOI: 10.1155/S1110757X04402095


The problem of determining the induced steady axially symmetric motion of an incompressible viscous fluid confined between two concentric spheres, with the outer sphere rotating with constant angular velocity and the inner sphere fixed, is numerically investigated for large Reynolds number. The governing Navier-Stokes equations expressed in terms of a stream function-vorticity formulation are reduced to a set of nonlinear ordinary differential equations in the radial variable, one of second order and the other of fourth order, by expanding the flow variables as an infinite series of orthogonal Gegenbauer functions. The numerical investigation is based on a finite-difference technique which does not involve iterations and which is valid for arbitrary large Reynolds number. Present calculations are performed for Reynolds numbers as large as 5000. The resulting flow patterns are displayed in the form of level curves. The results show a stable configuration consistent with experimental results with no evidence of any disjoint closed curves.


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E. O. Ifidon. "Numerical studies of viscous incompressible flow between two rotating concentric spheres." J. Appl. Math. 2004 (2) 91 - 106, 20 June 2004.


Published: 20 June 2004
First available in Project Euclid: 7 July 2004

zbMATH: 1121.76316
MathSciNet: MR2100459
Digital Object Identifier: 10.1155/S1110757X04402095

Primary: 14H30 , 40A05
Secondary: 76D05 , 76M20

Rights: Copyright © 2004 Hindawi

Vol.2004 • No. 2 • 20 June 2004
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