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Table 6

Summary of model parameters as a function of for n = 1.

Pr Ra d χmid K0

5 × 10-1 7.5 × 100 0.63 5.6 × 10-1 6.6 × 10-6 6.8 × 103
2 × 10-1 7.1 × 10 2 1.31 2.6 × 10-1 2.6 × 10-6 1.7 × 10 4
1 × 10-1 7.7 × 103 1.73 1.4 × 10-1 1.3 × 10-6 3.4 × 104
5 × 10-2 5.9 × 104 2.08 7.7 × 10-2 6.6 × 10-7 6.8 × 104
2 × 10-2 6.6 × 10 5 2.46 3.3 × 10-2 2.6 × 10-7 1.7 × 105
1 × 10 -2 3.6 × 10 6 2.70 1.8 × 10 -2 1.3 × 10 -7 3.4 × 10 5
5 × 10-3 1.9 × 107 2.89 9.1 × 10-3 6.6 × 10-8 6.8 × 105
2 × 10-3 1.5 × 108 3.11 3.8 × 10-3 2.6 × 10-8 1.7 × 106
1 × 10-3 6.9 × 108 3.24 1.9 × 10-3 1.3 × 10-8 3.4 × 106
5 × 10-4 3.1 × 109 3.35 9.9 × 10-4 6.6 × 10-9 6.8 × 106
2 × 10-4 2.2 × 1010 3.47 4.1 × 10-4 2.6 × 10-9 1.7 × 107
1 × 10-4 9.5 × 1010 3.55 2.1 × 10-4 1.3 × 10-9 3.4 × 107

Notes. The values discussed and used in this paper are shown in bold face and are valid for any value of Pr. The units are [d] = Mm, [χmid] = Mm km s-1, [K0] = g cm-3 km3 s-3 Mm K-1, and .

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