Linear theory of MHD Taylor-Couette flow

Details Linear theory of MHD Taylor-Couette flow Linear theory of MHD Taylor-Couette flow

Nov 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aipc..733...71r&link_type=abstract

MHD COUETTE FLOWS: Experiments and Models. AIP Conference Proceedings, Volume 733, pp. 71-82 (2004).

Physics

Laminar Flows, Vortex Dynamics, Rotating Fluids, Flow Instabilities

Scientific paper

The linear theory of MHD Taylor-Couette flow (subject to an axial magnetic field and unbounded in z) is presented in order to prepare laboratory experiments to probe the MRI. Only stationary flow patterns are considered but also with nonaxisymmetry and for small magnetic Prandtl numbers. If the outer cylinder is at rest for a small interval of magnetic field amplitudes subcritical excitation is found but only for Pm > 1. For rotating outer cylinder beyond the Rayleigh line the situation is different. Characteristic minima are found for the Reynolds number of the inner cylinder for Hartmann numbers of order 10 for Pm = 1 and 1000 for Pm = 10 -5. The minimal magnetic Reynolds number in all these cases is of order 10 (see Fig. 7). For liquid sodium (Pm = 10 -5) the characteristic values for a container with Rin = Rout/2 = 10 cm are 20 Hz for the inner rotation frequency and 1700 Gauss for the magnetic field amplitude.

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