Geoscience Reference
In-Depth Information
(a)
(b)
Ro = 0.02
Ro = 0.2
R
low
R
low
0
0
F
-0.2
-0.2
F
-0.4
-0.4
I
-0.6
-0.6
R
up
R
up
-0.8
-0.8
0.2
0.2
RR
RR
0.15
0.15
RF
RF
0.1
0.05
0.1
0.05
RP
1
0
0
0
5
10
15
20
25
0
5
10
15
20
25
k
k
(c)
Ro=0.6
R
low
0
-0.2
F
P
up
-0.4
I
R
up
-0.6
P
low
-0.8
0.2
0.15
FP
1
0.1
0.05
RF
RP
n
0
0
5
10
15
20
25
30
35
40
45
k
Figure 6.12.
As in Figure 6.10, but with
δ
H
= 0.5. Thick gray lines in the upper panel correspond to the unstable modes.
constant-PV layer will, in general, have low Rossby and
Burger numbers and, therefore, correspond to the RF
regime.
vertically withdrawing this cylinder and allowing the
upper layer (height
h
0
and width
L
0
=
r
c
−
r
1
)tomove
under the influence of buyoancy, Coriolis, and centrifugal
forces.
The upper layer is stationary before the geostrophic
adjustment and therefore has constant potential vorticity.
Under the assumption of no diabatic mixing taking place
during the collapse, potential vorticity in the upper layer
should be conserved in the final balanced state and is then
written as
6.3.3. Comparison with Experiments
The experiments of
Griffiths and Linden
[1982] were
conducted in a circular tank mounted on a rotating
turntable, as in Figure 6.9, filled with a solution of den-
sity
ρ
2
. The boundary current was created by inject-
ing a lighter solution of density
ρ
1
between the inner
cylinder and a bottomless cylinder of radius
r
c
such
as
r
1
< r
c
< r
2
. The experiment was then initiated by
Q
1
=
f
+
∂
r
V
1
+
V
1
/r
H
1
=
f
h
0
.
(6.15)
