Tropical Cyclones: Physics, Energetics and Mechanics
Posted by: Weather456, 11:24 AM GMT on October 25, 2009
Today I will present an
overview of the formation, development, maturity, decay of tropical cyclones
using the power of physics, energetics and mechanics, and answer some of those
not so obvious questions.
Why do we need warm sea surface temperatures?
A pre-existing disturbance is always needed to initiate development, whether it
is a tropical wave, tropical low, surface trough, upper low, or sometimes a
frontal boundary and extratropical cyclone. We often here that cyclones need
warm sea surface temperatures but why? I mean water is water regardless of the
temperature. The main reason why we need warm sea surface temperature lies in
the fact that warm water is more energetic than colder waters. Tropical cyclones
need warm moist air and the only source of such air is from the ocean.
Temperature is simply the degree to which molecules move and evaporation can
only occur if water molecules can escape the sea surface and enter the air and
in order for that to occur; you need the temperature to be high.
How does a tropical cyclone cools the sea surface?
A tropical cyclone's winds causes upwelling of colder sub-surface waters but
there is another process by which tropical cyclones remove heat from the ocean –
evaporation. Evaporation is the process by which water molecules change from a
liquid state (water) to a gaseous state (water vapour). Now the molecules in the
liquid state are bonded closer than in the gaseous form and this pretty obvious
if you ever boiled water. Now remember when I said warmer temperatures cause
molecules to move faster, well to get those molecules spread out from the liquid
form to the gaseous form you need energy (heat of evaporation). The heat comes
from the surrounding ocean, which is referred to as latent heat.
In summary, heat needs to be added to a group of water molecules to get it
change from a liquid state to a gaseous state. The heat needed is called latent
heat and comes from the surrounding ocean, which causes it to cool.
Latent heat versus sensible heat
Latent heat is the heat absorbed or given off by a substance while it is
changing its physical state. Sensible heat can be sensed, or measured, with a
thermometer, and the addition or removal of sensible heat will always cause a
change in the temperature of the substance. In other words, sensible heat is the
heat that affects the temperature of things; latent heat is the heat that
affects the physical state of things. The summer time warming of the sea surface
is related to sensible heat, while the heat removed from the ocean needed for
evaporation is latent heat.

Figure 1. A schematic diagram showing the simply flow of energy
from the sun to the ocean to the air aloft, illustrating the process of
evaporation and condensation and the types of energy that are associated.
Why is moist air lighter than drier air at the same temperature?
Water vapour is a relatively light gas when compared to oxygen and nitrogen, the
two other abundant gases in the atmosphere. If we take a parcel of moist air,
the pressure of the vapour molecules will be greater than the heavier gases that
share the parcel so in effect it will be lighter. Oppositely, a dry air parcel
will have lesser vapour molecules and more of the other heavier gases so in
effect will be heavier.
Another reason why moist air is lighter, is because of its temperature. Moist
air is warmer because the tendency for condensation is greater and condensation
releases heat. Dry air is cooler because the tendency for evaporation is greater
and evaporation absorbs heat.
This is the reason why moist air (above 70%) is often a requirement for tropical
cyclogenesis and why dry air interferes with tropical cyclone development.
How does dry air affect tropical cyclone development?
As mentioned before, dry air is heavier and cooler than moist air. If the air is
dry in the mid levels of a tropical cyclone (between 500 mb-700 mb) then
evaporation of raindrops or condensed water will occur. This causes the
mid-levels to cool and become even denser. Dense air will sink which retards
both lower pressure and rising air needed for convection. When it hits the
surface it spreads out and the leading edge is what we called arc clouds or
outflow boundaries.

Figure 2. Visible image of Tropical Storm Chris in August of
2006 showing a series of arc clouds emanating from within the central overcast,
indicating that the tropical cyclone struggled with some level mid-level dry
air. Sometimes you cannot use water vapor imagery to detect this dry since water
vapor mainly shows the upper level moisture fields. For this you might use model
soundings or total precipitable water loops.
What causes a tropical cyclone's warm-core?
The simple cause of a tropical cyclone's warm-core is heat of condensation. When
condensation occurs, it releases heat because you are trying to bond the
molecules from a gaseous form to a liquid form. The greatest condensation occurs
near the center of the cyclone relative to the surroundings so there is where
the greatest heat will be found, thus it fulfills the definition of a warm core.
What causes the pressure heights to fall in a tropical cyclone?
The main cause of the pressure falls associated with tropical cyclone or any
low-pressure system is rising air. As air rise, it exerts less force on the
earth surface and you have lower pressure. There is another process by which
rising air cause pressure heights to fall – opposing the force of gravity. As
air rises, it opposes the downward force of gravity. In order to compensate for
this imbalance, pressure heights must be lowered. One person told me if this did
not occurred, the troposphere would rise into the stratosphere but I have always
oppose this by stating the tropopause, which is a seal, would not allow this.

Figure 3. A systematic diagram showing the formation of a
tropical cyclone's warm-core and the associated pressure height falls.
What are the different types of energy associated with tropical
cyclones?
You first have heat and potential energy stored in the ocean. Tropical
cyclones obtain this heat energy through evaporation, which rises and condenses.
Water vapour retains the heat and carries it from the sea surface to the air
aloft. Now the heat ends back into the atmosphere through condensation. The air
aloft warms, and becomes more buoyant and rises even further. The pressure
heights fall in response and lower pressure is created. The pressure gradient
increase and air begins to move and now we have kinetic energy. The
moving air picks up more moisture from the sea surface and rises again to begin
the cycle over again. As long as conditions remain favourable, this cycle
intensifies with each round – positive feedback loop.
Now the moving air exerts a force upon the water surface to create and cause it
to move in waves, this is now called mechanical energy. Mechanical
energy is also responsible for physical damage and storm surges. The wind exerts
a force on objects which causes them to move.
The
heat and kinetic energy released by tropical cyclones is equivalent to 200
times the world-wide electrical generating capacity - an incredible amount of
energy produced!
I hope after reading this blog you are left with a little bit more knowledge of
how tropical cyclones work, and rather than just looking at one on satellite
imagery, you can appreciate the energy, thermodynamics and physics that go in to
making one.
Other News
I will also issue my October Summary next Sunday and Winter Outlook for the
Western Atlantic sometime in early November.
Erika was really a forecasting challenge for me and probably one of my personal
best forecasts in predicting her to go left of the forecast track but here is
Erika’s model verification and I LMFAO last night when I saw how poor the models
did with her.

Figure 4. Model tracks from 00 UTC 2 September and Erika's best
track [actual (black)]. You can clearly see the large forecast error made by the
models but this is no surprise because as an invest Erika never did follow the
forecast models.
We often hear radar imagery is confined to land-based areas but wouldn't it be
cool if numerical model-based radar imagery was available - which has no spatial
constraints. The animation below is of Hurricane Fred from the COAMPS model of
Fred that shows 1-hr increments radar based reflectivity from the 120-hr initial
forecast – September 8 2009 at 12Z. This model had 95% accuracy in the
forecasting of Fred's track and intensity but this accuracy was the same for
most forecasters and other models.

Figure 5. COAMPS radar based reflectivity of Fred +120 hrs from
September 8 2009 at 12Z. You can clearly see the pre-banding features that
wrapped all the way around, the formation of the eye and the maturity and then
the demise due to vertical shear.
Now, the season is winding down with only 5 weeks left and I do not expect much
in November since this is an El Nino year and for various other factors. Now, I
will still be here updating my blog on topics just like this one but for many
others, they will be leaving, never to be seen again until next hurricane
season, so for those that won't be here - Seasons Greeting and a blessed New
Year.
Weather456