Table 2.
Ratio between the growth rate σi = 1, 2, 3 of the instability and the product of the absolute value of the surface-averaged shear parameter |⟨q⟩| by the local rotation rate Ω.
| Case | Contraction in induction equation | Rec | Lu |
 |
 |
 |
 |
|---|---|---|---|---|---|---|---|
| Q3 | No | 5 | 5 × 103 | 2.5 × 10−2 | 2.4 × 10−2 | 1.9 × 10−2 | 2.2 × 10−2 |
| Q4 | No | 5 | 104 | 3.9 × 10−2 | 3.6 × 10−2 | 3.4 × 10−2 | 3.6 × 10−2 |
| Q9 | Yes | 1 | 5 × 103 | 1.1 × 10−2 | 8.8 × 10−3 | 8.1 × 10−3 | 9.2 × 10−3 |
| Q10 | Yes | 1 | 104 | 1.8 × 10−2 | 1.5 × 10−2 | 1.5 × 10−2 | 1.6 × 10−2 |
| Q11 | Yes | 2 | 104 | 1.8 × 10−2 | 2.1 × 10−2 | 1.5 × 10−2 | 1.8 × 10−2 |
Notes. The σi = 1, 2, 3 are the growth rates associated with the different control points visible in the first panel of Fig. 15 for the cases Q3 and Q4, and in the second panel for the runs Q9–Q11. The surface-averaged value of the shear parameter is obtained by taking a surface enclosing the location of the instability, then by calculating a surface integral such as ⟨q⟩ = 1/S∬(∂lnΩ/∂lnθ)dS. From these ratios, an arithmetic mean is determined and denoted by 
in the present Table. The parameters Pr(N0/Ω0)2, E, and Pm are respectively fixed to 104, 10−4, and 102 for each run.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.