Geoscience Reference
In-Depth Information
10
-3
2.5
×
2.0
1. 5
1. 0
0.5
0.0
2.10
2.15
2.20
Taylor number
2.25 × 10
5
Figure 16.2.
Largest Lyapunov exponent for the 2AV and 2MAV flows versus the Taylor number in the air-filled cavity.
0.5
W
Weak waves
Steady waves
Amplitude vacillation
Structural vacillation
Irregular flow
Azimuthal mode
W
1
S
AV
SV
I
1...4
2AV
0
2S
3AV, 2S
3S, 2S
-0.5
3S, 2S, 4S
-1
3SV, 2SV, 4SV
I
-1.5
Δ
T
=4k
Δ
T
=1k
Δ
T
=2k
-2
6
6.5
7
7.5
log(Ta)
8
8.5
9
Figure 16.3.
Regime diagram in the
(
Ta ,
)
plane for the liquid-filled cavity with Pr = 16 established from experimental inves-
tigations [
Wordsworth
, 2009]; the control parameter values from the measurements are represented by circles and from the
computations by dots along the line for
T
= 2 K. The traverses in dotted lines correspond to values obtained when varying
the rotation rate at fixed temperature difference
T
(here 1 K, 2 K and 4 K). The continuous lines in blue indicate the transition
between two flow regimes defined by different azimuthal dominant wave numbers, while the dashed lines in red delimit the
transition between two types of temporal dependency.
