Table 3
Parametric study of the parameter space M × Tosc, for the three cases of expanded C+O white dwarfs with an 0.01 M⊙ helium layer.
| M = | 0.2 | 0.15 | 0.1 | 0.05 | 0.03 | 0.02 | |
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| ρfl = 9 × 108 | |||||||
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| Tosc = 0.15 | 0.3 | 0.3 | 0.3 | 0.4 | 0.5 | 0.6 | |
| Tosc = 0.10 | 0.3 | 0.3 | 0.3 | 0.5 | 0.6 | 0.7 | |
| Tosc = 0.05 | 0.3 | 0.4 | 0.5 | 0.6 | 0.9 | 1.4 | |
| Tosc = 0.02 | 0.2c | 0.4c | 1.2c | − | − | − | |
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| ρfl = 3 × 108 | |||||||
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| Tosc = 0.20 | 0.4 | 0.4 | 0.4 | 0.8 | 1.0 | − | |
| Tosc = 0.15 | 0.4 | 0.4 | 0.7 | 0.8 | 1.1 | − | |
| Tosc = 0.10 | 1.0c | 0.8 | 0.8 | 0.9 | 1.1 | − | |
| Tosc = 0.05 | 0.5c | 1.1c | − | − | − | − | |
| Tosc = 0.02 | 0.2c | 0.3c | 1.1c | − | − | − | |
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| ρfl = 1 × 108 | |||||||
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| Tosc = 0.20 | 0.5 | 0.6 | 1.0 | 1.0 | − | − | |
| Tosc = 0.15 | 0.5 | 0.9 | 1.0 | 1.0 | − | − | |
| Tosc = 0.10 | 1.3c | 1.0 | 1.2 | − | − | − | |
| Tosc = 0.05 | 0.6c | 1.3c | − | − | − | − | |
| Tosc = 0.02 | 0.2c | 0.4c | 1.3c | − | − | − | |
Notes.Perturbations are initiated at the position of the flame. Tosc is the perturbation period in second, which varies from 0.2 to 0.02 s, while M is the Mach number, in the range 0.2 to 0.02. Numbers in the table give the time in second necessary for detonation ignition by the perturbation of period Tosc and Mach number M. When these numbers are followed by the letter c, it means ignition occurs in the carbon, otherwise ignition takes place in the helium layer.
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