Tuesday Nov. 3, 2009
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A couple of Bob Dylan songs ("Like a Rolling Stone" &
"Stuck
Inside of Mobile with the Memphis Blues Again") to get things started
today.
The Optional
Humidity Assignment (here are the answers) was
returned in class today. Here are questions
and answers from an in-class Optional Assignment from the other
section of the class from last Friday.
The Experiment #3 reports were collected in class today. The
Expt. #4 reports are due next Tuesday.
Here's the first part of what we will be doing in class on Tuesday -
it's looking like a busy day.
The last
big topic we will cover
before next week's quiz is precipitation formation and types of
precipitation. Only two of the 10 main cloud types are able to
produce
significant amounts of
precipitation.
This figure shows typical sizes of cloud
condensation nuclei (CCN), cloud droplets, and raindrops (a human hair
is about 50 um thick for comparison). As we
saw in the cloud in a bottle demonstration it is relatively easy to
make cloud droplets. You cool moist air to the dew point and
raise the RH to 100%. Water vapor
condenses pretty much instantaneously onto a cloud condensation nucleus
to form a cloud droplet. It
would take much longer (a day or more) for condensation to turn a cloud
droplet
into a
raindrop. You know from personal experience that once a cloud
forms you don't have to wait that long for precipitation to begin to
fall.
Part of the problem is that it takes quite a few 20 um
diameter cloud
droplets to make one 2000 um diameter raindrop. How many
exactly? Before answering that question we will look at a cube
(rather than a sphere).
It would take 64 individual sugar
cubes to make a 4 cube x 4 cube x 4 cube cube. That is because
the bigger cube is 4 times wider, 4 times deeper, and 4 times
taller. Volume is 3 dimensions.
The raindrop is 100 times wider, 100 times
deeper, and 100 times taller than the cloud droplet. The raindrop
has a volume that is 100 x 100 x 100 = 1,000,000 (one million) times
larger than the volume of
the cloud droplets.
Fortunately
there are two processes capable of quickly
turning small cloud droplets
into much larger precipitation particles in a cloud.
The collision coalescence process
works in clouds that
are
composed of water droplets only. Clouds like this are only found
in
the tropics. We'll see that this is a pretty easy process to
understand. This process will only produce rain, drizzle, and
something called virga.
The ice crystal process produces precipitation everywhere
else.
This is the process that makes rain in
Tucson, even on the hottest day in the summer (summer thunderstorm
clouds are tall and reach into cold parts of the atmosphere, well below
freezing. Hail or something resembling hail called graupel often
falls from these storms; proof that the precipitation started out as an
ice particle). There is one part
of this process that is a little harder to understand. This
process can produce a variety of different kinds of precipitation
particles (rain, snow, hail, sleet, graupel, etc).
Here's
what you might see if you looked inside a warm cloud with just water
droplets:
The collision coalescence process works best in a cloud
filled with cloud droplets of different sizes. A short video
showed that the larger droplets fall
faster than the small droplets. A larger than average cloud
droplet will overtake and collide with smaller slower moving
ones.
This is an acclerating growth process.
The
falling droplet
gets
wider, falls faster, and sweeps out an increasingly larger volume
inside the cloud. The bigger the droplet gets the faster it
starts to grow.
The figure
below shows the two precipitation producing clouds:
nimbostratus (Ns) and cumulonimbus (Cb). A little more carefully drawn
version than was done in class. Ns clouds are thinner
and have weaker updrafts than Cb clouds. The largest raindrops
fall from Cb clouds because the droplets spend more time in the cloud
growing. In a Cb cloud raindrops can grow while being carried upward by
the updraft and also when falling in the downdraft.
Raindrops grow up to about 1/4 inch in diameter.
When
drops get
larger than that, wind resistance flattens out the drop as it falls
toward the ground. The drop begins to "flop" around and breaks
apart
into several smaller droplets. Solid precipitation particles such
as hail can get much larger (an inch or two or three in diameter).
In the
interest of expediency, I'm just copying over the notes from the MWF
section, they covered this yesterday.
We'll be learning about the ice crystal process of
precipitation formation today. We discussed the
collision-coalescence process last Friday. It can produce rain,
drizzle, and
virga (rain that evaporates before reaching the ground), but that's
about it.
Look at what the ice crystal
process can do by contrast. There's a lot that can happen inside
the cloud and more things that can occur outside the cloud. By
the end of class today you should
know something about every precipitation particle in the picture.
Here's a carefully drawn picture of two cold clouds (clouds that
contain ice)
The bottom of the thunderstorm,
Point 1, is warm
enough
(warmer than freezing) to just
contain water
droplets. The top of the thunderstorm, Point 2, is colder than
-40 F (equal to -40 C) and just contains ice crystals. The
interesting part of the
thunderstorm and the
nimbostratus cloud is the middle part, Point 3, that contains both
supercooled water
droplets (water that has
been cooled to below freezing but hasn't frozen) and ice
crystals.
This is called the mixed phase
region. This is where the ice crystal process will be able
to produce
precipitation. This is also where the electrical charge that
results in lightning is generated.
The supercooled water droplets aren't able to freeze even though
they
have been cooled below freezing. At Point 4 we see this is
because it is much
easier for small droplets of water to freeze onto an ice crystal
nucleus or for water vapor to be deposited onto an ice crystal nucleus
(just like it is easier for water vapor to condense onto
condensation nuclei rather than condensing and forming a small droplet
of pure water). Not just any material will work as an ice nucleus
however. The material must have
a crystalline structure that is like that of ice. There just
aren't very many materials with this property and as a result ice
crystal nuclei are rather scarce.
We'll see
next how the ice crystal process works. There are a couple of
"tricky" parts.
The first figure above (see p.101 in the photocopied
Class
Notes)
shows a water droplet in equilibrium with its surroundings..The droplet
is evaporating (the 3 blue arrows in the figure). The rate of
evaporation will depend on the temperature of the water droplet.
The droplet is surrounded by air that is saturated with water vapor
(the droplet is inside a cloud where the relative humidity is
100%). This means there is enough water vapor to be able to
supply 3 arrows of condensation. Because the droplet loses and
gains water vapor at equal rates it doesn't grow or shrink.
This figure shows what is required
for an ice crystal (at
the same
temperature) to be in equilibrium with its surroundings. First,
the ice crystal won't evaporate as rapidly as the water droplet (only 1
arrow is shown). Going from ice to water vapor is a bigger
jump than going from water to water vapor. There won't be as many
ice molecules with enough energy to make that jump. A sort of
analogous situation is shown in the figure below. The class
instructor could and most of the people in the room could jump from the
floor to the top of a 12 or 15 inch tall box. It would be much
tougher to jump to the top of the cabinet (maybe 30 inches off the
ground). There wouldn't be as many people able to do that.
To be in equilibrium the ice crystal only needs 1 arrow of
condensation. There doesn't need to be as much water vapor in the
air surrounding the
ice crystal to supply this lower rate of condensation.
Now what happens in the mixed phase region of a cold cloud
is that
ice crystals find themselves in the very moist surroundings needed for
water droplet equilibrium. This is shown below.
The water droplet is in equilibrium (3 arrows of evaporation
and 3
arrows of condensation) with the surroundings. The ice crystal is
evaporating more slowly than the water droplet. Because the ice
crystal is in the same surroundings as the water droplet water vapor
will be condensing onto the ice crystal at the same rate as onto the
water droplet. The ice
crystal isn't in equilibrium, condensation
(3 arrows) exceeds evaporation (1 arrow) and the ice crystal will
grow. That's
what makes the ice crystal process work.
The equal rates of condensation are shown in the figure
below using the
earlier analogy.
Even though he was afraid to try to jump up to the top
of
the counter, the instructor could jump from the counter to the floor.
Now
we will see what can happen once the ice crystal has had a chance to
grow a little bit.

Once an ice
crystal has grown a
little bit it becomes a snow crystal (this figure is on p. 102 in the
photocopied classnotes). Snow crystals can have a variety of
shapes
(plates, dendrites, columns, needles, etc.; these are called crystal
habits) depending on the conditions (temperature and
moisture)
in the cloud. Dendrites are the most common because they form
where there
is the most moisture available for growth. With more raw material
available it makes sense there would be more of this particular snow
crystal
shape.

Here are some actual photographs of snow crystals (taken with a
microscope). Snow crystals are usually 100 or a few 100s of
micrometers
in diameter (tenths of a millimeter in diameter).
You'll find some much better photographs and a pile of addtional
information
about snow crystals at www.snowcrystals.com

A
variety of things can happen once a snow crystal forms. First it
can
break into pieces, then each of the pieces can grow into a new snow
crystal. Because snow crystals are otherwise in rather short
supply, ice
crystal multiplication is a way of increasing the amount of
precipitation that
ultimately falls from the cloud.

Several snow
crystals can collide
and stick together to form a snowflake. Snow crystals are small,
a few
tenths of a millimeter across. Snowflakes can be much larger and
are made
up of many snow crystals stuck together. The sticking together or
clumping together of snow crystals is called aggregation (as I
demonstrated in class, I frequently forget this term. If I can't
remember it I don't expect you to remember it either)
Snow crystals can
collide with supercooled water droplets. The
water
droplets may stick and freeze to the snow crystal. This process
is called
riming or accretion (note this isn't collision coalescence even though
it is the same idea). If a snow crystal collides with enough
water
droplets it
can be completely covered with ice. The resulting particle is
called
graupel. Graupel is sometimes mistaken for hail
and is
called soft hail or snow pellets. Rime ice has a frosty milky
white
appearance. A graupel particle resembles a miniature snow
ball.
Graupel particles often serve as the nucleus for a hailstone.
This figure gives you an idea of how hail forms.

In the figure
above a hailstone
starts with a graupel particle (Pt. 1, colored green to represent rime
ice). The
graupel falls or gets carried into a part of the cloud where it
collides with a
large number of supercooled water droplets which stick to the graupel
but don't
immediately freeze. The graupel gets coated with a layer of water
(blue) at Pt. 2. The particle then moves into a colder part of
the cloud
and the
water layer freeze producing a layer of clear ice (the clear ice,
colored
violet, has a distinctly different appearance from the milky white rime
ice), Pt. 3. In Tucson this is often the only example of hail that you
will see:
a graupel particle core with a single layer of clear ice.
In the severe thunderstorms in the Central Plains, the hailstone can
pick up a
new layer of rime ice, followed by another layer of water which
subsequently
freezes to produce a layer of clear ice.
This cycle can repeat several times; large hailstones can be composed
of many
alternating layers of rime and clear ice. An unusually
large
hailstone (around 3 inches in diameter) has been cut in half to show
(below)
the different layers of ice. The picture below is close to actual
size.

Hail is produced
in strong
thunderstorms with tilted updrafts. You would never see hail
(or graupel) falling from a nimbostratus cloud.

The growing
hailstone can fall
back into the updraft (rather than falling out of the cloud) and be
carried
back up toward the top of the cloud. In this way the hailstone
can
complete several cycles through the interior of the cloud.
One last figure showing some of the things that can happen once a
precipitation particle falls from a cloud
Moving from left to right, a falling graupel particle or a snow
flake can move into warmer air and melt. The resulting drops of
water fall the rest of the way to the ground and would be called
RAIN. Note sometimes the grauple will reach the ground before
melting.
Sometimes the falling raindrops will evaporate before reaching the
ground. This is called VIRGA and is pretty common early in the
summer thunderstorm season in Arizona when the air is dry.
Lightning that comes from thunderstorms that aren't producing much
precipitation is called "dry lightning" and often starts brush fires.
Rain will sometimes freeze before reaching the ground. The
resulting particle of clear ice is called SLEET. FREEZING RAIN by
contrast only freezes once it reaches the ground. Everything on
the ground can get coated with a thick layer of ice. It is nearly impossible to
drive
during one of these "ice storms." Sometimes the coating of ice
is heavy enough that branches on trees are broken and power lines are
brought
down. It sometimes takes several days for power to be restored.