Journal
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
Volume 18, Issue 2-4, Pages 197-204Publisher
SPRINGER
DOI: 10.1007/s00162-004-0125-5
Keywords
spherical Couette flow; hydrodynamic stability; shear layers
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We investigate, both experimentally and numerically, the fluid flow in a spherical shell with radius ratio r(i)/r(o) = 2/3. Both spheres rotate about a common axis, with Omega(i) >Omega(o). The basic state consists of a Stewartson layer situated on the tangent cylinder, the cylinder parallel to the axis of rotation and touching the inner sphere. If the differential rotation is sufficiently large, non-axisymmetric instabilities arise, with the wavenumber of the most unstable mode increasing with increasing overall rotation. In the increasingly supercritical regime, a series of mode transitions occurs in which the wavenumber decreases again. The experimental and numerical results are in good agreement regarding this basic sequence of mode transitions, and the numerics are then used to study some of the finer details of the solutions that could not be observed in the experiment.
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