FIG. 13: Growth rate of type 2 Super-HMRI vs. kz for a power-law radial profile of the angular velocity with Ro = 0.7 and a very narrow gap η̂ = 0.94, which are close to those of the solar tachocline. The boundary conditions are conducting at the inner and insulating at the outer walls, as often used in solar tachocline studies. The other parameters are taken also of the same order as those for the tachocline (see text): β = 500, Pm = 0.01, Ha = 2500 and Re = 1.5 · 106. As in Fig. 6, black dashed line shows the WKB result for these parameters, but at much higher radial wavenumber kr0 = π(1− η̂)−1 ≈ 52.4, corresponding to a narrower gap.
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