Turbulence in differentially rotating flows
What can be learned from the Couette-Taylor experiment
Denis Richard and
Received 25 November 1998 / Accepted 23 March 1999
The turbulent transport of angular momentum plays an important role in many astrophysical objects, but its modelization is still far from satisfactory. We discuss here what can be learned from laboratory experiments. We analyze the results obtained by Wendt (1933) and Taylor (1936) on the classical Couette-Taylor flow, in the case where angular momentum increases with distance from the rotation axis, which is the most interesting for astrophysical applications. We show that when the gap between the coaxial cylinders is wide enough, the criterion for the onset of the finite amplitude instability can be expressed in terms of a gradient Reynolds number. Based on Wendt's results, we argue that turbulence may be sustained by differential rotation when the angular velocity decreases outward, as in keplerian flows. From the rotation profiles and the torque measurements we deduce a prescription for the turbulent viscosity which is independent of gap width; with some caution it may be applied to stellar interiors and to accretion disks.
Key words: hydrodynamics instabilities turbulence
Send offprint requests to: D. Richard (Denis.Richard@obspm.fr)
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© European Southern Observatory (ESO) 1999
Online publication: June 30, 1999