Physics – Fluid Dynamics
Scientific paper
2008-06-27
Phys.Scripta 2008:014029,2008
Physics
Fluid Dynamics
23 pages, 7 figures; to be published in the Topical Issue of the Physica Scripta in 2008
Scientific paper
10.1088/0031-8949/2008/T132/0140
We present numerical simulations of circular Couette flow in axisymmetric and fully three-dimensional geometry of a cylindrical annulus inspired by Princeton MRI liquid gallium experiment. The incompressible Navier-Stokes equations are solved with the spectral element code Nek5000 incorporating realistic horizontal boundary conditions of differentially rotating rings. We investigate the effect of changing rotation rates (Reynolds number) and of the horizontal boundary conditions on flow structure, Ekman circulation and associated transport of angular momentum through the onset of unsteadiness and three-dimensionality. A mechanism for the explanation of the dependence of the Ekman flows and circulation on horizontal boundary conditions is proposed.
Cattaneo Fausto
Fischer Paul F.
Obabko Aleksandr V.
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