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Subject: A11) What is the "eye"? How is it formed and
maintained ? What is the "eyewall"? What are "spiral bands"?
(Written with major assistance from Sim Aberson)
NOAA
The "eye" is a roughly circular area of comparatively light
winds and fair weather found at the center of a severe tropical
cyclone. Although the winds are calm at the axis of rotation, strong
winds may extend well into the eye. There is little or no precipitation
and sometimes blue sky or stars can be seen. The eye is the region of
lowest surface pressure and warmest temperatures aloft - the eye
temperature may be 10°C [18°F] warmer or more at an altitude of
12 km [8 mi] than the surrounding environment, but only 0-2°C
[0-3°F] warmer at the surface (Hawkins and
Rubsam 1968) in the tropical cyclone. Eyes range in size from 8
km [5 mi] to over 200 km [120 mi] across, but most are in the range 30-60 km [20-40 mi] in
diameter (Weatherford
and Gray 1988).
The eye is surrounded by the "eyewall", the
roughly circular ring of deep convection which is the area of highest
surface winds in the tropical cyclone. The eye is composed of air that
is slowly sinking and the eyewall has a net upward flow as a result of
many moderate - occasionally strong - updrafts and downdrafts. The
eye's warm temperatures are due to compressional warming of the
subsiding air. Most soundings taken within the eye show a low-level
layer which is relatively moist, with an inversion above - suggesting
that the sinking in the eye typically does not reach the ocean surface,
but instead only gets to around 1-3 km [1-2 mi] of the surface.
The calm eye of the tropical cyclone shares many
qualitative characteristics with other vortical systems such as
tornadoes, waterspouts, dust devils and whirlpools and such a feature
appears to be fundamental to many rotating fluid flows.
The formation of the eyewall is related to the
convergence of air in a shallow layer some 500 m to 1 km deep adjacent
to the sea surface. This layer is referred to as the boundary layer, or
friction layer. Above this layer, the swirling winds are approximately
in gradient wind balance (Willoughby
1990b, 1991), that is, the inward-directed pressure gradient
force is approximately balanced by the sum of the outward-directed
centrifugal and Coriolis forces. Frictional stresses in the boundary
layer reduce the tangential wind speed and thereby the centrifugal and
Coriolis forces, while the pressure gradient force remains largely
unchanged. As a result there is a net inward force in the layer which
drives the convergence in this layer. Calculations (e.g. Smith 1968,
2003) show that the inflow in the boundary layer turns upwards
before
it reaches the hurricane center with the maximum upflow near the radius
of maximum tangential wind speed just above the boundary layer. The
inflowing air is very moist and as it rises out of the boundary layer
the vater vapor condenses to form the eyewall clouds. The air flows
outwards above the boundary layer (there is essentially nowhere else
for it to go, although there may be a little mixing across the inner
edge of the eye) and the eyewall clouds tilt outwards with height. As
the rising air leaves the friction layer it approximately conserves its
absolute angular momentum and as it moves outwards, it spins more
slowly and the maximum tangential wind speed occurs at ever increasing
radii. Calculations by Emanuel
(1997) show that the eyewall has some likeness to
an atmospheric front and suggest that the eye is a passive response to
processes in the eyewall and beyond.
The eye forms as a result of the downward directed pressure
gradient associated with the weakening and radial spreading of the
tangential wind field with height (Smith, 1980).
Gradient wind balance
above the boundary layer implies that the pressure on the vortex axis
is less than that in the far environment at the same height by an
amount that increases with the maximum tangential wind speed and the
density. The decay and radial spread of the tangential wind speed with
height and the decline in density with height implies that this
pressure difference decreases with height so that the lowest
perturbation pressures occur at low levels on the axis and tend to
drive subsidence along and near to the axis to form the eye. As the air
subsides, it is compressed and warms relative to air at the same level
outside the eye and thereby becomes locally buoyant. This upward
buoyancy approximately balances the downward directed pressure gradient
so that the actual subsidence is produced by a small residual force. Shapiro and
Willoughby (1982) showed that a heat source near the radius of
maximum tangential wind speed such as that produced by latent heat
release in the eyewall leads to subsidence in the eye, consistent with
the foregoing description.
Outside the eyewall, convection in tropical cyclones is
organized into long,
narrow rainbands which seem to spiral into the center of
the cyclone: these are sometimes called "spiral bands".
Along these bands, low-level convergence is a maximum, and therefore,
upper-level divergence is most pronounced above. A direct circulation
develops in which warm, moist air converges at the surface, ascends
through these bands, diverges aloft, and descends on both sides of the
bands. Subsidence is distributed over a wide area on the outside of the
rainband but is concentrated in the small inside area. As the air
subsides, adiabatic warming takes place, and the air dries. Because
subsidence is concentrated on the inside of the band, the adiabatic
warming is stronger inward from the band causing a sharp contrast in
pressure falls across the band since warm air is lighter than cold air.
Because of the pressure falls on the inside, the tangential winds
around the tropical cyclone increase due to increased pressure
gradient. Eventually, the band moves toward the center and encircles it
and the eye and eyewall form (Willoughby
1979, 1990a, 1995).
Some of the most intense tropical cyclones exhibit
concentric eyewalls, two or more eyewall structures centered at the
circulation center of the storm ( Willoughby
et al. 1982,Willoughby 1990a ). Just as the inner eyewall
forms, convection surrounding the eyewall can become organized into
distinct rings. Eventually, the inner eye begins to feel the effects of
the subsidence resulting from the outer eyewall, and the inner eyewall
weakens, to be replaced by the outer eyewall. The pressure rises due to
the destruction of the inner eyewall are usually more rapid than the
pressure falls due to the intensification of the outer eyewall, and the
cyclone itself weakens for a short period of time.
Last updated November XX, 2004
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