Table 2.
TIDES five-layer models.
| Model | R1 | n | νconst | λ | Vrot | νmax | Ėk = 1 | Ėk = 4 | Ėtot |
|---|---|---|---|---|---|---|---|---|---|
| (R⊙) | ( /d) |
(km s−1) | ( /d) |
(ergs s−1) | (ergs s−1) | (ergs s−1) | |||
| Block 1: β0 = 0.95 | |||||||||
| 2 | 0.99 | 3.0 | 9.1×10−4 | 32.6 | 2.0×1030 | 4.1×1030 | 1.0×1031 | ||
| 4 | 0.99 | 3.0 | 1.0 | 32.6 | 6.3×10−4 | 1.8×1029 | 6.9×1029 | 1.9×1030 | |
| 6 | 0.99 | 3.0 | 0.1 | 32.6 | 6.5×10−5 | 3.1×1028 | 7.3×1028 | 2.0×1029 | |
| 7 | 1.20 | 3.0 | 9.1×10−4 | 39.6 | 6.5×1030 | 1.3×1031 | 3.3×1031 | ||
| 8 | 1.20 | 3.0 | 1.0 | 39.6 | 1.4×10−3 | 5.5×1029 | 4.4×1030 | 9.1×1030 | |
| 10 | 1.20 | 3.0 | 0.1 | 39.6 | 1.4×10−4 | 5.9×1028 | 4.5×1029 | 9.1×1029 | |
| 11 | 1.40 | 3.0 | 3.2×10−3 | 46.2 | 5.8×1031 | 1.2×1032 | 3.0×1032 | ||
| 12 | 1.40 | 3.0 | 1.0 | 46.2 | 2.9×10−3 | 1.2×1030 | 2.1×1031 | 3.9×1031 | |
| 14 | 1.40 | 3.0 | 0.1 | 46.2 | 2.9×10−4 | 1.2×1029 | 2.2×1030 | 4.0×1030 | |
| 23 | 2.25 | 3.0 | 9.0×10−2 | 74.2 | 3.0×1034 | 6.0×1034 | 1.5×1035 | ||
| 24 | 2.25 | 3.0 | 1.0 | 74.2 | 3.1×10−2 | 1.2×1032 | 2.9×1033 | 5.0×1033 | |
| 26 | 2.25 | 3.0 | 0.1 | 74.2 | 3.2×10−3 | 9.3×1030 | 3.1×1032 | 5.5×1032 | |
| 41 | 1.648 | 3.8 | 1.0 | 54.4 | 7.5×10−3 | 8.4×1029 | 6.0×1030 | 1.1×1031 | |
| Block 2: β0 = 1.05 | |||||||||
| 61 | 0.97 | 1.5 | 1.0 | 35.4 | 4.9×10−4 | 6.9×1029 | 9.2×1030 | 2.5×1031 | |
| 65 | 1.20 | 1.5 | 1.0 | 43.8 | 9.7×10−4 | 4.0×1030 | 7.8×1031 | 2.1×1032 | |
| 66 | 1.20 | 3.0 | 1.0 | 43.8 | 1.4×10−3 | 4.2×1029 | 4.3×1030 | 9.2×1030 | |
| 67 | 1.20 | 3.8 | 1.0 | 43.8 | 1.6×10−3 | 3.7×1028 | 2.2×1029 | 5.2×1029 | |
| 69 | 1.648 | 3.8 | 1.0 | 60.1 | 7.6×10−3 | 6.0×1029 | 6.1×1030 | 1.1×1031 | |
| Block 3: β0 = 1.10 | |||||||||
| 73 | 1.20 | 3.0 | 1.0 | 45.8 | 2.7×10−3 | 5.0×1030 | 3.4×1031 | 7.5×1031 | |
| 75 (a) | 1.648 | 3.8 | 1.0 | 62.9 | 1.5×10−2 | 6.5×1030 | 4.9×1031 | 8.8×1031 | |
| 75 (b) | 1.648 | 3.8 | 1.0 | 62.9 | 1.5×10−2 | 7.9×1030 | 4.9×1031 | 8.9×1031 | |
| 75 (c) | 1.648 | 3.8 | 1.0 | 62.9 | 1.5×10−2 | 8.9×1030 | 4.8×1031 | 8.9×1031 | |
Notes. Column descriptions: (1) model number; (2) stellar radius; (3) polytropic index; (4) fixed value in the constant viscosity models; (5) λ value; (6) rotation velocity at the equator; (7) maximum viscosity value in the variable viscosity runs; (8) and (9), dissipation rate in, respectively, the layer closest to the core (layer 1) and in the layer below the surface (layer 4); (10) total energy dissipation rate over the entire 3D structure. Model 75 is a case in which the inner layers are still evolving toward the stationary state so values for different orbital cycles are listed:
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