Table 2.
Time averaged diagnostics for the flow, the magnetic field, and the angular momentum transport for all unstable runs of Table 1.
Name | 𝒩 | Re/104 | Pm | Pr |
![]() |
Bϕ, rms/Br, rms |
![]() |
![]() |
![]() |
R |
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---|---|---|---|---|---|---|---|---|---|---|---|
U0 | 0 | 5 | 1 | – | 8.9 | 3.9 | 15.5 | 30.8 | 5.6 | 11.9 | 37.1 ± 4.5 |
U1 | 0 | 5 | 2 | – | 7.4 | 3.3 | 20.3 | 42.2 | 6.7 | 13.0 | 74.0 ± 8.1 |
U2 | 0 | 10 | 1 | – | 7.4 | 3.1 | 24.3 | 46.1 | 7.1 | 11.8 | 88.4 ± 7.7 |
U3 | 0 | 10 | 0.6 | – | 9.0 | 3.6 | 16.5 | 30.5 | 5.2 | 10.4 | 38.1 ± 8.0 |
S0 | 1 | 5 | 1 | 10−3 | 9.6 | 4.1 | 13.1 | 28.0 | 3.5 | 11.1 | 30.8 ± 3.4 |
S1 | 1 | 5 | 1 | 10−2 | 10.2 | 3.9 | 13.2 | 26.5 | 2.0 | 9.4 | 30.6 ± 3.7 |
S2 | 1 | 5 | 1 | 10−1 | 12.2 | 4.7 | 15.3 | 28.5 | 2.0 | 6.8 | 31.3 ± 1.9 |
S3 | 10 | 5 | 1 | 10−4 | 10.9 | 4.4 | 9.6 | 22.1 | 1.9 | 10.1 | 20.3 ± 5.3 |
S4 | 10 | 5 | 1 | 10−3 | 16.2 | 6.9 | 8.4 | 18.3 | 1.3 | 6.6 | 11.8 ± 2.2 |
S5 | 10 | 5 | 1 | 2 × 10−3 | 19.9 | 10.0 | 8.6 | 18.3 | 1.6 | 5.7 | 8.2 ± 1.1 |
S7 | 20 | 5 | 1 | 10−4 | 13.0 | 5.2 | 8.2 | 18.8 | 1.3 | 8.1 | 14.3 ± 4.3 |
S8 | 20 | 5 | 1 | 5 × 10−4 | 20.3 | 10.9 | 7.3 | 16.2 | 1.4 | 6.2 | 5.8 ± 0.8 |
S9 | 20 | 5 | 1 | 10−3 | 24.6 | 14.8 | 8.5 | 17.6 | 1.5 | 5.2 | 4.9 ± 0.6 |
Notes. The averages are evaluated over the periods Δt reported in Table 1. is the ratio of the rms axisymmetric azimuthal field to the rms axisymmetric poloidal field. Bϕ, rms/Br, rms is the ratio of the rms azimuthal field to the rms radial field. The rms turbulent flow velocity and magnetic field are
and
respectively. The rms meridional flow velocity is
. R denotes the ratio of the volume averaged radial Maxwell stresses (
to the volume averaged radial Reynolds stresses
.
is the dimensionless turbulent viscosity estimated as explained in the main text; the error indicates 1 standard deviation in time.
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