Free Access
Table 2
Results table.
Model | η | BC | Nρ | Rayleigh | Ra/Rac | fdip | Rm | Ro | Roℓ | Λ | Λℓ |
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1d | 0.2 | mixed | 0.00 | 8.00 × 106 | 9.2 | 0.72 | 122 | 6.57 × 10-3 | 1.95 × 10-2 | 1.3 | 7.13 × 10-2 |
2d | 0.2 | mixed | 0.00 | 1.00 × 107 | 11.5 | 0.71 | 143 | 7.77 × 10-3 | 2.55 × 10-2 | 2.2 | 1.14 × 10-1 |
2m | 0.2 | mixed | 0.00 | 1.00 × 107 | 11.5 | 0.05 | 180 | 9.55 × 10-3 | 2.62 × 10-2 | 0.6 | 3.33 × 10-2 |
3d | 0.2 | mixed | 0.00 | 2.00 × 107 | 23.0 | 0.66 | 252 | 1.36 × 10-2 | 5.81 × 10-2 | 5.6 | 2.24 × 10-1 |
3m | 0.2 | mixed | 0.00 | 2.00 × 107 | 23.0 | 1.62 × 10-2 | 318 | 1.70 × 10-2 | 6.26 × 10-2 | 2.6 | 9.73 × 10-2 |
4d | 0.2 | mixed | 0.00 | 3.00 × 107 | 34.5 | 1.14 × 10-2 | 424 | 2.26 × 10-2 | 8.38 × 10-2 | 4.5 | 1.42 × 10-1 |
5d | 0.2 | mixed | 0.00 | 4.00 × 107 | 45.9 | 1.05 × 10-2 | 505 | 2.71 × 10-2 | 1.05 × 10-1 | 6.4 | 1.78 × 10-1 |
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6d | 0.2 | mixed | 0.50 | 7.00 × 106 | 5.1 | 0.68 | 104 | 5.26 × 10-3 | 1.91 × 10-2 | 1.6 | 8.68 × 10-2 |
7d | 0.2 | mixed | 0.50 | 1.00 × 107 | 7.3 | 0.71 | 146 | 7.39 × 10-3 | 3.28 × 10-2 | 4.0 | 1.84 × 10-1 |
7m | 0.2 | mixed | 0.50 | 1.00 × 107 | 7.3 | 0.02 | 185 | 9.35 × 10-3 | 3.75 × 10-2 | 1.0 | 4.93 × 10-2 |
8d | 0.2 | mixed | 0.50 | 1.50 × 107 | 10.9 | 0.67 | 220 | 1.10 × 10-2 | 5.52 × 10-2 | 7.3 | 2.83 × 10-1 |
8m | 0.2 | mixed | 0.50 | 1.50 × 107 | 10.9 | 0.03 | 285 | 1.44 × 10-2 | 6.24 × 10-2 | 2.5 | 9.41 × 10-2 |
9d | 0.2 | mixed | 0.50 | 1.90 × 107 | 13.8 | 0.02 | 351 | 1.77 × 10-2 | 7.77 × 10-2 | 3.7 | 1.18 × 10-1 |
10d | 0.2 | mixed | 0.50 | 2.00 × 107 | 14.5 | 1.82 × 10-2 | 364 | 1.83 × 10-2 | 8.16 × 10-2 | 4.0 | 1.26 × 10-1 |
11d | 0.2 | mixed | 0.50 | 3.00 × 107 | 21.8 | 1.05 × 10-2 | 491 | 2.47 × 10-2 | 1.10 × 10-1 | 7.0 | 1.78 × 10-1 |
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12d | 0.2 | mixed | 1.00 | 6.00 × 106 | 3.1 | 0.86 | 71 | 3.59 × 10-3 | 1.55 × 10-2 | 0.8 | 4.76 × 10-2 |
13d | 0.2 | mixed | 1.00 | 8.00 × 106 | 4.1 | 0.67 | 117 | 5.87 × 10-3 | 3.03 × 10-2 | 3.4 | 1.62 × 10-1 |
13m | 0.2 | mixed | 1.00 | 8.00 × 106 | 4.1 | 0.70 | 115 | 5.81 × 10-3 | 2.96 × 10-2 | 3.2 | 1.43 × 10-1 |
14d | 0.2 | mixed | 1.00 | 1.00 × 107 | 5.2 | 0.68 | 152 | 7.65 × 10-3 | 4.18 × 10-2 | 5.7 | 2.37 × 10-1 |
14m | 0.2 | mixed | 1.00 | 1.00 × 107 | 5.2 | 0.69 | 149 | 7.49 × 10-3 | 4.04 × 10-2 | 6.2 | 2.39 × 10-1 |
15d | 0.2 | mixed | 1.00 | 1.50 × 107 | 7.8 | 0.52 | 256 | 1.29 × 10-2 | 7.44 × 10-2 | 9.0 | 2.83 × 10-1 |
15m | 0.2 | mixed | 1.00 | 1.50 × 107 | 7.8 | 0.03 | 299 | 1.50 × 10-2 | 7.51 × 10-2 | 3.8 | 1.13 × 10-1 |
16d | 0.2 | mixed | 1.00 | 2.00 × 107 | 10.3 | 1.40 × 10-2 | 390 | 1.96 × 10-2 | 1.01 × 10-1 | 6.3 | 1.61 × 10-1 |
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17d | 0.2 | mixed | 1.50 | 7.00 × 106 | 2.7 | 0.81 | 85 | 4.29 × 10-3 | 2.61 × 10-2 | 2.0 | 9.12 × 10-2 |
17m | 0.2 | mixed | 1.50 | 7.00 × 106 | 2.7 | 0.15 | 88 | 4.56 × 10-3 | 2.05 × 10-2 | 0.5 | 2.26 × 10-2 |
18d | 0.2 | mixed | 1.50 | 8.00 × 106 | 3.1 | 0.75 | 112 | 5.63 × 10-3 | 3.57 × 10-2 | 3.5 | 1.53 × 10-1 |
18m | 0.2 | mixed | 1.50 | 8.00 × 106 | 3.1 | 0.13 | 126 | 6.36 × 10-3 | 3.59 × 10-2 | 1.4 | 5.13 × 10-2 |
19d | 0.2 | mixed | 1.50 | 1.00 × 107 | 3.8 | 0.63 | 165 | 8.29 × 10-3 | 5.28 × 10-2 | 5.8 | 2.03 × 10-1 |
19m | 0.2 | mixed | 1.50 | 1.00 × 107 | 3.8 | 0.05 | 184 | 9.27 × 10-3 | 5.32 × 10-2 | 2.4 | 7.63 × 10-2 |
20d | 0.2 | mixed | 1.50 | 1.30 × 107 | 5.0 | 0.05 | 256 | 1.29 × 10-2 | 7.05 × 10-2 | 3.7 | 9.77 × 10-2 |
21d | 0.2 | mixed | 1.50 | 1.40 × 107 | 5.4 | 1.72 × 10-2 | 278 | 1.40 × 10-2 | 7.50 × 10-2 | 3.9 | 9.63 × 10-2 |
22d | 0.2 | mixed | 1.50 | 1.50 × 107 | 5.7 | 1.57 × 10-2 | 299 | 1.50 × 10-2 | 8.18 × 10-2 | 4.5 | 1.07 × 10-1 |
23d | 0.2 | mixed | 1.50 | 2.00 × 107 | 7.6 | 1.82 × 10-2 | 410 | 2.06 × 10-2 | 1.17 × 10-1 | 8.5 | 1.76 × 10-1 |
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24d | 0.2 | mixed | 1.70 | 9.00 × 106 | 3.1 | 0.73 | 134 | 6.73 × 10-3 | 4.51 × 10-2 | 4.4 | 1.69 × 10-1 |
24m | 0.2 | mixed | 1.70 | 9.00 × 106 | 3.1 | 0.07 | 153 | 7.71 × 10-3 | 4.62 × 10-2 | 2.0 | 7.00 × 10-2 |
25d | 0.2 | mixed | 1.70 | 1.20 × 107 | 4.1 | 0.06 | 230 | 1.16 × 10-2 | 6.58 × 10-2 | 3.4 | 8.84 × 10-2 |
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26d | 0.2 | mixed | 2.00 | 7.50 × 106 | 2.2 | 1.97 × 10-2 | 87 | 4.42 × 10-3 | 2.31 × 10-2 | 0.5 | 2.27 × 10-2 |
27d | 0.2 | mixed | 2.00 | 8.70 × 106 | 2.5 | 1.22 × 10-2 | 128 | 6.48 × 10-3 | 3.80 × 10-2 | 1.4 | 4.76 × 10-2 |
28d | 0.2 | mixed | 2.00 | 1.00 × 107 | 2.9 | 1.72 × 10-2 | 165 | 8.34 × 10-3 | 4.91 × 10-2 | 2.1 | 6.48 × 10-2 |
29d | 0.2 | mixed | 2.00 | 1.50 × 107 | 4.3 | 1.37 × 10-2 | 294 | 1.48 × 10-2 | 8.89 × 10-2 | 5.3 | 1.16 × 10-1 |
30d | 0.2 | mixed | 2.00 | 2.00 × 107 | 5.8 | 1.82 × 10-2 | 415 | 2.08 × 10-2 | 1.37 × 10-1 | 12.8 | 2.01 × 10-1 |
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31d | 0.2 | mixed | 2.50 | 1.00 × 107 | 2.2 | 4.74 × 10-3 | 150 | 7.61 × 10-3 | 4.54 × 10-2 | 2.1 | 5.63 × 10-2 |
32d | 0.2 | mixed | 2.50 | 1.50 × 107 | 3.3 | 8.63 × 10-3 | 282 | 1.42 × 10-2 | 9.26 × 10-2 | 6.3 | 1.21 × 10-1 |
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33d | 0.2 | mixed | 3.00 | 1.05 × 107 | 2.3 | 2.23 × 10-3 | 144 | 7.28 × 10-3 | 3.75 × 10-2 | 1.3 | 3.21 × 10-2 |
34d | 0.2 | mixed | 3.00 | 1.10 × 107 | 2.4 | 3.60 × 10-3 | 157 | 7.92 × 10-3 | 4.87 × 10-2 | 2.4 | 5.66 × 10-2 |
35d | 0.2 | mixed | 3.00 | 1.20 × 107 | 2.6 | 5.60 × 10-3 | 184 | 9.30 × 10-3 | 6.13 × 10-2 | 4.0 | 8.27 × 10-2 |
36d | 0.2 | mixed | 3.00 | 1.30 × 107 | 2.8 | 9.43 × 10-3 | 211 | 1.06 × 10-2 | 7.61 × 10-2 | 5.8 | 1.05 × 10-1 |
37d | 0.2 | mixed | 3.00 | 1.50 × 107 | 3.2 | 1.84 × 10-2 | 261 | 1.31 × 10-2 | 9.94 × 10-2 | 8.5 | 1.46 × 10-1 |
38d | 0.2 | mixed | 3.00 | 2.00 × 107 | 4.3 | 8.90 × 10-3 | 372 | 1.86 × 10-2 | 1.46 × 10-1 | 15.5 | 1.68 × 10-1 |
39d | 0.2 | mixed | 3.00 | 4.00 × 107 | 8.6 | 1.34 × 10-2 | 694 | 3.47 × 10-2 | 2.67 × 10-1 | 47.3 | 3.18 × 10-1 |
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40d | 0.6 | stress-free | 0.01 | 6.00 × 105 | 3.5 | 0.91 | 45 | 2.27 × 10-3 | 1.43 × 10-2 | 4.0 | 1.21 |
40m | 0.6 | stress-free | 0.01 | 6.00 × 105 | 3.5 | 1.06 × 10-4 | 64 | 3.28 × 10-3 | 9.78 × 10-3 | 0.0 | 2.86 × 10-3 |
41d | 0.6 | stress-free | 0.01 | 9.00 × 105 | 5.2 | 0.85 | 71 | 3.56 × 10-3 | 3.15 × 10-2 | 0.3 | 8.39 × 10-2 |
41m | 0.6 | stress-free | 0.01 | 9.00 × 105 | 5.2 | 2.63 × 10-3 | 74 | 3.74 × 10-3 | 2.81 × 10-2 | 0.2 | 2.72 × 10-2 |
42d | 0.6 | stress-free | 0.01 | 1.00 × 106 | 5.8 | 0.81 | 80 | 4.01 × 10-3 | 3.68 × 10-2 | 0.4 | 9.89 × 10-2 |
42m | 0.6 | stress-free | 0.01 | 1.00 × 106 | 5.8 | 2.16 × 10-3 | 84 | 4.24 × 10-3 | 3.34 × 10-2 | 0.2 | 3.09 × 10-2 |
43d | 0.6 | stress-free | 0.01 | 2.00 × 106 | 11.5 | 0.75 | 157 | 7.86 × 10-3 | 7.02 × 10-2 | 3.8 | 4.82 × 10-1 |
43m | 0.6 | stress-free | 0.01 | 2.00 × 106 | 11.5 | 7.46 × 10-3 | 203 | 1.02 × 10-2 | 8.98 × 10-2 | 1.0 | 1.17 × 10-1 |
44d | 0.6 | stress-free | 0.01 | 3.00 × 106 | 17.3 | 0.64 | 241 | 1.21 × 10-2 | 1.13 × 10-1 | 8.5 | 7.95 × 10-1 |
44m | 0.6 | stress-free | 0.01 | 3.00 × 106 | 17.3 | 4.32 × 10-3 | 317 | 1.58 × 10-2 | 1.39 × 10-1 | 3.0 | 2.56 × 10-1 |
45d | 0.6 | stress-free | 0.01 | 4.00 × 106 | 23.0 | 2.20 × 10-3 | 403 | 2.02 × 10-2 | 1.76 × 10-1 | 5.1 | 3.67 × 10-1 |
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46d | 0.6 | stress-free | 0.50 | 8.00 × 105 | 2.6 | 0.82 | 58 | 2.96 × 10-3 | 2.60 × 10-2 | 4.7 | 9.24 × 10-1 |
46m | 0.6 | stress-free | 0.50 | 8.00 × 105 | 2.6 | 7.09 × 10-3 | 50 | 2.53 × 10-3 | 2.60 × 10-2 | 0.1 | 2.31 × 10-2 |
47d | 0.6 | stress-free | 0.50 | 1.00 × 106 | 3.2 | 0.80 | 73 | 3.71 × 10-3 | 3.20 × 10-2 | 5.4 | 8.90 × 10-1 |
47m | 0.6 | stress-free | 0.50 | 1.00 × 106 | 3.2 | 2.59 × 10-3 | 69 | 3.47 × 10-3 | 3.79 × 10-2 | 0.2 | 3.57 × 10-2 |
48d | 0.6 | stress-free | 0.50 | 2.00 × 106 | 6.4 | 0.64 | 164 | 8.23 × 10-3 | 7.99 × 10-2 | 8.3 | 7.80 × 10-1 |
48m | 0.6 | stress-free | 0.50 | 2.00 × 106 | 6.4 | 1.03 × 10-2 | 195 | 9.77 × 10-3 | 1.01 × 10-1 | 1.2 | 1.25 × 10-1 |
49d | 0.6 | stress-free | 0.50 | 3.00 × 106 | 9.6 | 0.53 | 276 | 1.39 × 10-2 | 1.43 × 10-1 | 8.8 | 6.52 × 10-1 |
49m | 0.6 | stress-free | 0.50 | 3.00 × 106 | 9.6 | 1.10 × 10-3 | 313 | 1.58 × 10-2 | 1.53 × 10-1 | 3.7 | 2.87 × 10-1 |
50d | 0.6 | stress-free | 0.50 | 4.00 × 106 | 12.8 | 1.86 × 10-3 | 414 | 2.08 × 10-2 | 2.00 × 10-1 | 6.5 | 4.05 × 10-1 |
51d | 0.6 | stress-free | 0.50 | 5.00 × 106 | 16.0 | 9.86 × 10-4 | 507 | 2.55 × 10-2 | 2.45 × 10-1 | 9.5 | 5.05 × 10-1 |
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52d | 0.6 | stress-free | 1.00 | 1.00 × 106 | 1.9 | 0.73 | 64 | 3.23 × 10-3 | 3.68 × 10-2 | 3.9 | 5.72 × 10-1 |
52m | 0.6 | stress-free | 1.00 | 1.00 × 106 | 1.9 | 1.50 × 10-2 | 50 | 2.51 × 10-3 | 3.49 × 10-2 | 0.2 | 2.21 × 10-2 |
53d | 0.6 | stress-free | 1.00 | 1.50 × 106 | 2.9 | 0.68 | 113 | 5.70 × 10-3 | 6.98 × 10-2 | 3.6 | 4.54 × 10-1 |
53m | 0.6 | stress-free | 1.00 | 1.50 × 106 | 2.9 | 1.71 × 10-2 | 109 | 5.47 × 10-3 | 6.81 × 10-2 | 0.6 | 6.88 × 10-2 |
54d | 0.6 | stress-free | 1.00 | 2.00 × 106 | 3.9 | 0.62 | 149 | 7.50 × 10-3 | 8.02 × 10-2 | 9.4 | 8.20 × 10-1 |
54m | 0.6 | stress-free | 1.00 | 2.00 × 106 | 3.9 | 1.55 × 10-2 | 173 | 8.67 × 10-3 | 1.02 × 10-1 | 1.4 | 1.29 × 10-1 |
55d | 0.6 | stress-free | 1.00 | 3.00 × 106 | 5.8 | 0.49 | 275 | 1.38 × 10-2 | 1.59 × 10-1 | 8.4 | 5.65 × 10-1 |
55m | 0.6 | stress-free | 1.00 | 3.00 × 106 | 5.8 | 3.45 × 10-3 | 287 | 1.44 × 10-2 | 1.59 × 10-1 | 4.0 | 2.71 × 10-1 |
56d | 0.6 | stress-free | 1.00 | 4.00 × 106 | 7.7 | 4.90 × 10-3 | 378 | 1.89 × 10-2 | 2.03 × 10-1 | 6.9 | 3.94 × 10-1 |
57d | 0.6 | stress-free | 1.00 | 5.00 × 106 | 9.7 | 1.37 × 10-3 | 465 | 2.33 × 10-2 | 2.47 × 10-1 | 10.1 | 5.03 × 10-1 |
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58d | 0.6 | stress-free | 1.50 | 1.20 × 106 | 1.5 | 0.66 | 58 | 2.93 × 10-3 | 3.56 × 10-2 | 2.9 | 3.79 × 10-1 |
58m | 0.6 | stress-free | 1.50 | 1.20 × 106 | 1.5 | 0.06 | 46 | 2.32 × 10-3 | 3.03 × 10-2 | 0.2 | 3.03 × 10-2 |
59d | 0.6 | stress-free | 1.50 | 1.50 × 106 | 1.8 | 0.66 | 89 | 4.47 × 10-3 | 6.08 × 10-2 | 3.5 | 3.77 × 10-1 |
59m | 0.6 | stress-free | 1.50 | 1.50 × 106 | 1.8 | 0.07 | 81 | 4.09 × 10-3 | 5.64 × 10-2 | 0.5 | 4.87 × 10-2 |
60d | 0.6 | stress-free | 1.50 | 2.00 × 106 | 2.5 | 0.49 | 146 | 7.33 × 10-3 | 1.02 × 10-1 | 3.2 | 2.54 × 10-1 |
60m | 0.6 | stress-free | 1.50 | 2.00 × 106 | 2.5 | 0.04 | 142 | 7.12 × 10-3 | 9.28 × 10-2 | 1.3 | 1.05 × 10-1 |
61d | 0.6 | stress-free | 1.50 | 2.50 × 106 | 3.1 | 1.45 × 10-2 | 202 | 1.01 × 10-2 | 1.25 × 10-1 | 3.2 | 2.27 × 10-1 |
62d | 0.6 | stress-free | 1.50 | 3.00 × 106 | 3.7 | 1.46 × 10-2 | 253 | 1.26 × 10-2 | 1.52 × 10-1 | 4.8 | 2.93 × 10-1 |
63d | 0.6 | stress-free | 1.50 | 4.00 × 106 | 4.9 | 7.82 × 10-3 | 340 | 1.70 × 10-2 | 1.97 × 10-1 | 8.2 | 4.10 × 10-1 |
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64d | 0.6 | stress-free | 2.00 | 1.80 × 106 | 1.6 | 1.73 × 10-2 | 83 | 4.16 × 10-3 | 6.31 × 10-2 | 0.8 | 7.28 × 10-2 |
65d | 0.6 | stress-free | 2.00 | 2.00 × 106 | 1.8 | 0.03 | 105 | 5.26 × 10-3 | 7.84 × 10-2 | 1.0 | 7.74 × 10-2 |
66d | 0.6 | stress-free | 2.00 | 2.20 × 106 | 1.9 | 1.00 × 10-2 | 126 | 6.35 × 10-3 | 9.50 × 10-2 | 1.5 | 1.06 × 10-1 |
67d | 0.6 | stress-free | 2.00 | 2.50 × 106 | 2.2 | 0.02 | 156 | 7.81 × 10-3 | 1.10 × 10-1 | 2.1 | 1.37 × 10-1 |
68d | 0.6 | stress-free | 2.00 | 3.00 × 106 | 2.6 | 1.35 × 10-2 | 201 | 1.01 × 10-2 | 1.39 × 10-1 | 3.6 | 2.10 × 10-1 |
69d | 0.6 | stress-free | 2.00 | 4.00 × 106 | 3.5 | 0.04 | 284 | 1.42 × 10-2 | 1.89 × 10-1 | 8.5 | 3.79 × 10-1 |
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70d | 0.6 | stress-free | 3.00 | 2.50 × 106 | 1.6 | 7.47 × 10-6 | 54 | 2.75 × 10-3 | 4.35 × 10-2 | 0.2 | 2.09 × 10-2 |
71d | 0.6 | stress-free | 3.00 | 2.70 × 106 | 1.8 | 1.72 × 10-5 | 71 | 3.59 × 10-3 | 5.91 × 10-2 | 0.4 | 3.50 × 10-2 |
72d | 0.6 | stress-free | 3.00 | 3.00 × 106 | 2.0 | 4.39 × 10-5 | 103 | 5.17 × 10-3 | 8.83 × 10-2 | 1.1 | 6.32 × 10-2 |
73d | 0.6 | stress-free | 3.00 | 3.20 × 106 | 2.1 | 4.00 × 10-4 | 119 | 5.96 × 10-3 | 1.00 × 10-1 | 1.5 | 8.05 × 10-2 |
74d | 0.6 | stress-free | 3.00 | 3.50 × 106 | 2.3 | 1.08 × 10-3 | 140 | 7.05 × 10-3 | 1.15 × 10-1 | 2.3 | 1.29 × 10-1 |
75d | 0.6 | stress-free | 3.00 | 4.00 × 106 | 2.6 | 0.06 | 168 | 8.39 × 10-3 | 1.38 × 10-1 | 12.7 | 5.13 × 10-1 |
76d | 0.6 | stress-free | 3.00 | 7.00 × 106 | 4.6 | 0.05 | 307 | 1.54 × 10-2 | 2.41 × 10-1 | 37.5 | 9.86 × 10-1 |
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