| 1.
A description of convection
The vertical transport of
heat and moisture
in the atmosphere is accomplished by means of convection, which breaks
out spontaneously in various parts of the atmosphere.
Convection
may be dry
(in which case it is usually invisible except where it stirs up dust),
or it may be moist, in which case its signature is
evident
in cloud forms. Convection in the earth's atmosphere may
be either shallow (restricted to the lowest 1-2
kilometers)
or deep (extending all the way up to the tropopause).
Deep
convection is always of the moist kind and usually involves
cumulonimbus
clouds (accompanied by thunder and lightning when they form over land).
Shallow convection may be either of the moist or dry type.
Convection is usually made
up buoyant,
rising plumes of warmer, more moist air known to glider pilots as
'thermals',
separated by slowly sinking cooler, dryer air. Thermals start out as
"hot
spots" in the surface layer close to the ground and they rise until
they
eventually run out of buoyancy. They expand and cool as they rise, and
if they rise high enough, the water vapor in them condenses to form
clouds.
The description of
convection raises a
number of questions:
- Why are thermals
buoyant?
- Why do they cool as they
rise?
- Why does the water vapor
begin to condense
out of them if they rise high enough?
We can answer some of these
questions by considering
convection in fresh water, which is simpler than its counterpart in the
atmosphere but displays many of the same characteristics.
2. Convection in water
Convective plumes form in a
pan of water
if it is heated from below. Water (at temperatures above 4°C)
expands very slightly when it is heated, much like air does. The water
in "hot spots" along the bottom surface of the pan expands just
slightly
more than the rest of the water along the bottom surface. A given
amount
of mass of the hotter later occupies more space than a comparable mass
of the water that isn't quite as hot. Or equivalently, a given volume
of
the hotter water contains less mass than a comparable volume of cooler
water. Since it's less dense (i.e. lighter), the warmer water is
buoyed (i.e. lifted) by the cooler water that surrounds it.
The plume will keep rising
so long as it
remains warmer than the water at the same level. But suppose the water
gets warmer toward the top of the pan. In that case, the plume will
eventually
encounter a level at which it ceases to be warmer than the surrounding
water at the same level. At this level, it runs out of buoyancy
and
stops rising. Evidently, in a liquid like water convection is
suppressed
when temperature rises with height: temperature increasing with height
constitutes what is referred to as a stable environment. That's
also
true in the atmosphere: in "temperature inversions" where temperature
increases
with height (as it almost always does on cold, still nights over land),
convection is strongly suppressed.
3. Convection in a dry
atmosphere
Unlike water, gases are compressible:
i.e., their volumes expand and contract, not only because of heating
and
cooling, but also because of changes in pressure. To understand about
expansion
and compression we need to know a little bit about air pressure.
Pressure is
weight per unit
area. Americans express it in terms of pounds per square inch (psi).
Other commonly used units are millibars or atmospheres. Our
bodies exert pressure on the underlying surface. When we stand up we
exert
more pressure than when we are lying down because our weight is
concentrated
in a smaller area. A petite woman standing on spike heels exerts
much more pressure than a heavy man standing on skis or snowshoes.
The weight of the overlying
are
exerts
pressure on surfaces that the air comes in contact with. Since air is a
fluid, it doesn't matter whether the surfaces are horizontal or
vertical.
The pressure of the overlying atmosphere is equivalent to that exerted
by a column of water 38 feet deep or a column of mercury 30 inches
deep. We had a demonstration in class showing that atmospheric pressure
is strong enough to crush a can. It would crush our bodies too if it
weren't
for the fact that they've adapted to it by exerting an equal outward
pressure
of their own -- if they were impulsively 'de-pressurized' our lungs
would
literally explode.
Atmospheric pressure
decreases with
height as the pressure of the overlying air decreases. At sea
level
it decreases by ~1% for each 80 m-- it decreases by 3-4% riding up in
the
elevator to the top of a tall office building like the Columbia Tower;
by 15% driving up to Chinook Pass, and by 40% climbing to the top of
Mr.
Rainier. Sometimes we feel pressure in our ears while our bodies
are adjusting to changes in altitude. If it weren't for the fact that
passenger
cabins on high flying aircraft are pressurized, these pressure
changes
would be much more painful than they are.
Air parcels in the
atmosphere have three properties which will be useful to understand
their vertical motions in the atmosphere:
a) Rising air parcels expand
in response to changes in atmospheric pressure. For
example, the volume of a weather balloon increases by nearly a factor
of
100 as it rises from sea-level to the 30 km level, where it's above 99%
of the mass of the atmosphere. The so called 'adiabatic (without the
addition
or removal of heat) expansion' of the air as it rises affects its
behavior. Conversely, sinking air parcels contract as they sink.
b) Rising air parcels cool as they expand.
Whereas the rising plume of water considered
in the previous section maintained its temperature as it ascended, a
rising
thermal cools as a result of adiabatic expansion, just as the air
escaping
from an aerosol can or a tire valve cools. It isn't possible to explain
this cooling without delving deeper into the science of thermodynamics
than we have time to do in this course, so we'll just accept it as
fact.
c) Rising
air cools at a rate of 10°C per kilometer. This rate of
temperature
decrease with height is called the dry adiabatic lapse rate.
(In this context, dry means not saturated with water vapor.) At
this
rate an air parcel originating at sea level with a typical winter
temperature
of 10°C (50°F) would cool to a
temperature
of about -3°C by the time it ascended to an altitude
comparable to Stevens Pass (1300 m). The
lapse rate is the rate at which temperature decreases with
increasing height.
4. Atmospheric stability
We can diagnose whether
the atmosphere is stable or unstable with respect to vertical motions
by
comparing its lapse rate (which we call the environmental lapse rate)
to the adiabatic lapse rate of 9.8°C/km:
- If the rate of
decrease of atmospheric
temperature (the lapse rate) is larger than the adiabatic lapse rate,
then
the atmosphere is unstable and convection will take
place
readily: as a bubble of warm air rises, its temperature will decrease
at
a rate of 10°C/km while the temperature of the
surrounding
air will decrease at a more rapid rate. As a result, the rising bubble
of air will always be warmer than the surrounding air and will be
buoyant.
- If the atmospheric lapse
rate is smaller
than 10°C/km, then the atmosphere is stable
and convection will not take place. If you move a bubble of warm
air at higher altitude, it will cool faster than the surrounding air
and
will thus be cooler (and denser), and sink. It will return to its
starting level.
- Finally, if the
atmospheric lapse rate is the same as the adiabiatic lapse rate at all
heights, then the air parcel will be neutral: it will
float.
To understand this concept of stability, you can relate the behavior of
the rising air parcel to a marble. If you set a marble in equilibrium
on top of an inverted bowl, any motions will make it fall down
(unstable). If the marble is at the bottom of a bowl and push it up
along the sides of the bowl and let it go, it will come back down to
its originial position (stable). Finally, if you set the marble on a
flat surface the marble will stay put (neutral). See Figure 5.4 in
textbook.
Inversions are
cases when the
atmospheric lapse rate is negative (temperature is increasing with
increasing height). This creates stable conditions. Most parcels cannot
rise above an inversion. The picture below shows an inversion.
5. Inversions and air
pollution
Inversions occur often in the atmosphere. There are several types of
inversions: marine inversions, radiation inversions, and subsidence
inversions (see textbook, page 125-128). When they occur, they
can
enhance air pollution (remember the Donora smog event!).
Inversions
will tend to inhibit vertical excchange of air and pollutants. They
will thus trap pollutants near the surface, like a "lid on a pot". Smog
events (in L.A., the east coast, and sometimes around Seattle) are
often associated with inversions.

To understand why that is the
case, recall
the box model equation: q = S x tau/V, with q = concentration of
pollutant in box, tau = residence time of pollutant, and V = volume of
box. From the box model equation you can see that the concentration is
inversely proportional to the volume of the box: as the volume
decreases, the concentration of pollution will increase. Inversions
basically decrease the volume in which the pollutants can mix in. Thus
low mixing height (see figure above) will lead to low volumes and high
pollutant concentrations, while large mixing heights will lead to large
volumes and low pollutant concentrations.
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