Fig. 1
Stability map for m = 1 modes for the pinch with rigid rotation (μ = 1, top panel) and with quasi-Kepler rotation law (μ = 0.35, bottom panel). The critical Hartmann number for resting cylinders is Ha = 35.3 for all Pm. The curves are labeled with their values of Pm, and the curve for Pm = 0.001 represents all curves for smaller Pm. rin = 0.5, perfect-conducting boundaries.
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