Hydromagnetic Taylor--Couette flow: wavy modes

Details Hydromagnetic Taylor--Couette flow: wavy modes Hydromagnetic Taylor--Couette flow: wavy modes

2002-07-25

arxiv.org/abs/astro-ph/0207563v1

Astronomy and Astrophysics

Astrophysics

12 pages, 8 figures. To appear in J. Fluid Mech. To appear in J. Fluid Mech

Scientific paper

10.1017/S0022112002002409

We investigate magnetic Taylor--Couette flow in the presence of an imposed axial magnetic field. First we calculate nonlinear steady axisymmetric solutions and determine how their strength depends on the applied magnetic field. Then we perturb these solutions to find the critical Reynolds numbers for the appearance of wavy modes, and the related wavespeeds, at increasing magnetic field strength. We find that values of imposed magnetic field which alter only slightly the transition from circular--Couette flow to Taylor--vortex flow, can shift the transition from Taylor--vortex flow to wavy modes by a substantial amount. The results are compared against onset in the absence of a magnetic field.

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