Geoscience Reference
In-Depth Information
B
1
=
3
versus Rayleigh and Ekman numbers in double logarithmic scale. Data of the described experi-
ments in the presence of slope configuration for rotation rates
f
Fig. 4 Velocity of radial propagation of the warm buoyant jet,
U
, nondimensionalized by
U
=
2.5, 1.25, 0.8 s
1
¼
Table 1 Overview of the experimental parameters for the rotating case. The radius of the tank
R
39
is the same for all experiments
¼
0
:
3 m and the slope angle
a ¼
f
(s
1
)
B
(m
3
/s
3
)
Type of markers (see Fig.
4
)
q
(Wt/m)
6.37
2.5
10
9
♦
ð
3
3
:
3
Þ
1.25
Þ
10
9
ð
3
:
13
3
:
35
10
9
0.8
ð
3
:
1
3
:
4
Þ
13.1
2.5
10
9
ð
7
:
2
7
:
6
Þ
1.25
Þ
10
9
ð
7
:
3
7
:
8
10
9
0.8
ð
7
:
4
7
:
7
Þ
25.7
2.5
10
8
○
ð
1
:
5
1
:
6
Þ
1.25
ð
1
:
52
1
:
6
Þ
10
8
0.8
10
8
ð
1
:
5
1
:
56
Þ
1
=
2
B
1
=
3
k
T
f
2
H
Pr
1
=
2
U
;
(4)
where the Pr number is constant and for the experiments Pr ~ 7.
The regularities for radial velocity of the warm buoyant jet in the rotating tank
with sloping bottom are shown in Fig.
4
. The solid line is the best fit of the predicted
law (
3
) to the all-laboratory experiments with the high correlation coefficient
R
2
¼
0.76. The equation of the solid line
y
¼
0.76
1.8 gives clear dependence
B
1
=
3
, versus Rayleigh and
of the nondimensional velocity of the buoyant jet,
U
=
10
2
. The high
reliability of the linear approximation of the data shown in Fig.
4
proves the evident
dependence of the radial propagation velocity of the buoyant jet on the buoyancy
flux and Coriolis parameters (Table
1
).
B
1
=
3
Ra
1
=
2
Ek
Ekman numbers as
U
=
¼
C
1
ð
Þ
, where
C
1
¼
1
:
2
