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Table A.1

Overview of the critical Rayleigh numbers and the corresponding critical azimuthal wavenumbers for the onset of convection determined, as explained in Jones et al. (2009).

E Pr N ϱ χ R a c m c

3 × 10-5 1 2.0 0.35 6.79 × 106 24
1 × 10-4 1 0.5 0.35 3.34 × 105 10
1 × 10-4 1 1.0 0.35 5.67 × 105 12
1 × 10-4 1 1.5 0.35 9.25 × 105 14
1 × 10-4 1 1.7 0.35 1.09 × 106 15
1 × 10-4 1 2.0 0.35 1.43 × 106 16
1 × 10-4 1 2.5 0.35 2.18 × 106 19
1 × 10-4 1 3.0 0.35 3.02 × 106 29
1 × 10-4 1 3.5 0.35 3.62 × 106 37
1 × 10-4 1 4.0 0.35 4.09 × 106 43
1 × 10-4 2 3.0 0.35 7.48 × 106 33
1 × 10-4 1 2.0 0.55 5.35 × 106 42
3 × 10-4 1 0.5 0.35 9.66 × 104 7
3 × 10-4 1 1.0 0.35 1.52 × 105 9
3 × 10-4 1 1.5 0.35 2.32 × 105 10
3 × 10-4 1 2.0 0.35 3.51 × 105 12
3 × 10-4 1 2.5 0.35 5.19 × 105 14
3 × 10-4 1 3.0 0.35 7.12 × 105 19
3 × 10-4 1 3.5 0.35 8.71 × 105 25
3 × 10-4 1 2.0 0.45 6.83 × 105 18
3 × 10-4 1 2.0 0.55 1.26 × 106 28
3 × 10-4 2 3.0 0.35 8.90 × 105 22
1 × 10-3 1 2.0 0.35 7.70 × 104 8
2 × 10-3 1 2.5 0.35 4.60 × 104 7

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