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Table B.1
Numerical simulations carried out at Pr = 1 and n = 2 and displayed in Figs. 3 and 7.
E | χ | Nϱ | Ra∕Rac | Roℓ (ro) | Nu | ![]() |
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ℓmax |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0 × 10−4 | 0.35 | 4.0 | 1.2 | 1.8 × 10−2 | 1.02 | 1.00 | 1.06 | 1.06 | 1.00 | 2.3 × 101 | 65 | 192 |
1.0 × 10−4 | 0.70 | 0.5 | 1.5 | 7.4 × 10−3 | 1.03 | 1.00 | 1.06 | 1.06 | 1.00 | 1.2 × 100 | 129 | 256 |
1.0 × 10−4 | 0.70 | 0.5 | 4.0 | 2.4 × 10−2 | 1.25 | 1.00 | 1.56 | 1.56 | 1.00 | 3.6 × 101 | 65 | 213 |
1.0 × 10−4 | 0.70 | 0.5 | 8.0 | 6.0 × 10−2 | 1.80 | 1.00 | 2.51 | 2.49 | 1.00 | 4.7 × 101 | 65 | 213 |
1.0 × 10−4 | 0.70 | 0.5 | 16.0 | 1.5 × 10−1 | 3.31 | 2.61 | 4.50 | 3.45 | 3.17 | 1.2 × 102 | 129 | 288 |
1.0 × 10−4 | 0.70 | 0.5 | 32.0 | 3.8 × 10−1 | 7.51 | 3.82 | 14.59 | 4.63 | 6.95 | 1.5 × 102 | 129 | 341 |
1.0 × 10−4 | 0.70 | 1.0 | 1.5 | 1.0 × 10−2 | 1.04 | 1.00 | 1.08 | 1.08 | 1.00 | 7.7 × 100 | 65 | 192 |
1.0 × 10−4 | 0.70 | 1.0 | 2.0 | 1.6 × 10−2 | 1.10 | 1.00 | 1.20 | 1.20 | 1.00 | 1.1 × 101 | 65 | 192 |
1.0 × 10−4 | 0.70 | 1.0 | 4.0 | 4.3 × 10−2 | 1.43 | 1.00 | 1.87 | 1.86 | 1.00 | 1.0 × 102 | 161 | 256 |
1.0 × 10−4 | 0.70 | 1.0 | 8.0 | 1.1 × 10−1 | 2.34 | 1.87 | 2.71 | 2.58 | 1.88 | 1.4 × 102 | 65 | 256 |
1.0 × 10−4 | 0.70 | 1.0 | 16.0 | 3.2 × 10−1 | 5.27 | 2.89 | 9.69 | 3.47 | 5.60 | 3.7 × 102 | 129 | 256 |
1.0 × 10−4 | 0.70 | 2.0 | 1.5 | 2.8 × 10−2 | 1.07 | 1.00 | 1.18 | 1.18 | 1.00 | 1.3 × 101 | 65 | 192 |
1.0 × 10−4 | 0.70 | 2.0 | 2.0 | 3.9 × 10−2 | 1.17 | 1.00 | 1.35 | 1.34 | 1.00 | 2.7 × 101 | 65 | 192 |
1.0 × 10−4 | 0.70 | 2.0 | 4.0 | 9.8 × 10−2 | 1.69 | 1.19 | 1.95 | 1.94 | 1.20 | 9.1 × 101 | 65 | 192 |
1.0 × 10−4 | 0.70 | 2.0 | 8.0 | 3.4 × 10−1 | 3.78 | 2.32 | 6.45 | 2.67 | 6.06 | 5.4 × 101 | 129 | 256 |
1.0 × 10−4 | 0.70 | 2.0 | 16.0 | 6.5 × 10−1 | 7.54 | 3.64 | 13.16 | 3.80 | 9.25 | 5.7 × 101 | 129 | 341 |
1.0 × 10−4 | 0.70 | 4.0 | 1.5 | 8.4 × 10−2 | 1.04 | 1.00 | 1.21 | 1.20 | 1.00 | 3.0 × 101 | 65 | 341 |
1.0 × 10−4 | 0.70 | 4.0 | 2.0 | 1.0 × 10−1 | 1.08 | 1.00 | 1.33 | 1.32 | 1.00 | 4.4 × 101 | 121 | 341 |
3.0 × 10−4 | 0.35 | 1.0 | 1.5 | 8.7 × 10−3 | 1.07 | 1.01 | 1.08 | 1.08 | 1.01 | 1.8 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 1.0 | 2.0 | 1.2 × 10−2 | 1.10 | 1.02 | 1.11 | 1.11 | 1.02 | 3.3 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 1.0 | 4.0 | 2.6 × 10−2 | 1.36 | 1.22 | 1.53 | 1.28 | 1.23 | 2.3 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 1.0 | 8.0 | 6.7 × 10−2 | 2.23 | 1.88 | 3.25 | 1.88 | 2.95 | 2.8 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 1.0 | 16.0 | 1.7 × 10−1 | 4.64 | 3.14 | 12.98 | 3.32 | 12.62 | 9.0 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 1.0 | 32.0 | 3.3 × 10−1 | 8.90 | 4.80 | 27.52 | 5.37 | 25.69 | 4.3 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 2.0 | 2.0 | 1.9 × 10−2 | 1.13 | 1.05 | 1.21 | 1.09 | 1.06 | 2.1 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 2.0 | 4.0 | 6.0 × 10−2 | 1.69 | 1.34 | 2.11 | 1.34 | 1.96 | 4.0 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 2.0 | 8.0 | 1.8 × 10−1 | 3.64 | 2.42 | 12.27 | 2.48 | 10.61 | 4.4 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 2.0 | 16.0 | 3.5 × 10−1 | 7.22 | 4.52 | 20.32 | 4.67 | 18.74 | 1.3 × 102 | 65 | 192 |
3.0 × 10−4 | 0.35 | 2.0 | 32.0 | 6.7 × 10−1 | 13.00 | 9.00 | 26.30 | 9.06 | 25.52 | 6.6 × 101 | 129 | 192 |
3.0 × 10−4 | 0.35 | 4.0 | 2.0 | 6.3 × 10−2 | 1.21 | 1.01 | 1.31 | 1.31 | 1.01 | 5.0 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 4.0 | 4.0 | 1.9 × 10−1 | 2.13 | 1.63 | 4.41 | 1.77 | 4.31 | 5.8 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 4.0 | 8.0 | 3.6 × 10−1 | 3.76 | 2.64 | 7.27 | 2.69 | 6.81 | 6.1 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 4.0 | 16.0 | 7.5 × 10−1 | 6.39 | 5.26 | 10.55 | 5.36 | 10.27 | 8.5 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 6.0 | 2.0 | 1.3 × 10−1 | 1.12 | 1.00 | 1.28 | 1.28 | 1.00 | 8.8 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 6.0 | 4.0 | 3.8 × 10−1 | 1.68 | 1.38 | 2.29 | 1.58 | 2.22 | 9.3 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 6.0 | 8.0 | 5.3 × 10−1 | 2.42 | 1.96 | 3.30 | 2.12 | 3.24 | 6.7 × 101 | 65 | 192 |
3.0 × 10−4 | 0.35 | 6.0 | 16.0 | 7.9 × 10−1 | 3.43 | 2.95 | 4.39 | 2.96 | 4.30 | 1.4 × 102 | 129 | 192 |
3.0 × 10−4 | 0.35 | 6.0 | 32.0 | 2.6 × 100 | 5.51 | 5.45 | 6.29 | 6.20 | 6.07 | 3.6 × 101 | 129 | 192 |
3.0 × 10−4 | 0.35 | 8.0 | 2.0 | 3.1 × 10−1 | 1.13 | 1.00 | 1.22 | 1.21 | 1.00 | 3.1 × 101 | 129 | 192 |
3.0 × 10−4 | 0.35 | 8.0 | 4.0 | 7.4 × 10−1 | 1.44 | 1.35 | 1.60 | 1.38 | 1.57 | 2.4 × 101 | 257 | 288 |
3.0 × 10−4 | 0.35 | 8.0 | 8.0 | 1.1 × 100 | 1.73 | 1.63 | 1.89 | 1.63 | 1.83 | 2.9 × 101 | 257 | 288 |
3.0 × 10−4 | 0.35 | 8.0 | 16.0 | 1.6 × 100 | 2.12 | 2.06 | 2.27 | 2.09 | 2.24 | 3.3 × 101 | 257 | 288 |
3.0 × 10−4 | 0.35 | 8.0 | 32.0 | 2.7 × 100 | 2.76 | 2.73 | 2.88 | 2.75 | 2.85 | 3.7 × 101 | 257 | 288 |
3.0 × 10−4 | 0.35 | 8.0 | 48.0 | 2.8 × 100 | 2.91 | 2.65 | 2.80 | 2.65 | 2.72 | 4.0 × 100 | 257 | 512 |
3.0 × 10−4 | 0.70 | 1.0 | 2.0 | 2.8 × 10−2 | 1.10 | 1.00 | 1.20 | 1.20 | 1.00 | 3.4 × 101 | 65 | 192 |
3.0 × 10−4 | 0.70 | 2.0 | 2.0 | 6.8 × 10−2 | 1.16 | 1.00 | 1.34 | 1.34 | 1.00 | 3.8 × 101 | 65 | 192 |
3.0 × 10−4 | 0.70 | 4.0 | 2.0 | 1.8 × 10−1 | 1.10 | 1.00 | 1.33 | 1.33 | 1.00 | 2.3 × 101 | 65 | 192 |
3.0 × 10−4 | 0.70 | 4.0 | 8.0 | 9.6 × 10−1 | 2.74 | 2.05 | 3.88 | 2.23 | 3.78 | 2.5 × 101 | 97 | 256 |
3.0 × 10−4 | 0.70 | 6.0 | 2.0 | 5.0 × 10−1 | 1.13 | 1.00 | 1.25 | 1.24 | 1.00 | 2.1 × 101 | 65 | 288 |
3.0 × 10−4 | 0.70 | 6.0 | 4.0 | 1.4 × 100 | 1.53 | 1.44 | 1.65 | 1.44 | 1.64 | 1.0 × 101 | 65 | 288 |
3.0 × 10−4 | 0.70 | 6.0 | 8.0 | 2.0 × 100 | 1.91 | 1.77 | 2.13 | 1.77 | 2.10 | 4.5 × 100 | 65 | 426 |
3.0 × 10−4 | 0.70 | 6.0 | 16.0 | 3.3 × 100 | 2.56 | 2.46 | 2.82 | 2.47 | 2.80 | 2.1 × 101 | 129 | 426 |
3.0 × 10−4 | 0.70 | 6.0 | 32.0 | 6.1 × 100 | 3.45 | 3.37 | 3.64 | 3.56 | 3.58 | 4.4 × 100 | 129 | 512 |
3.0 × 10−4 | 0.70 | 6.0 | 48.0 | 8.0 × 100 | 4.31 | 4.18 | 4.47 | 4.26 | 4.41 | 3.7 × 100 | 257 | 512 |
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