Wednesday, Nov. 7, 2012
"Sometime Around
Midnight" from The Airborne Toxic Event and "I Will Wait"
from Mumford and Sons.
Now that the election is over I'll be able to get back to work (and not
have to spend so much time looking at the latest swing state
polls). Here are some of the items I'd like to get done in the
next few days.
I should have the Expt. #3 reports graded by Friday. The Quiz #4 Study Guide Pt. 1 is already
available online. My hope is that you'll start to look through
some of that material now. There'll be at least one more 1S1P
topic available by Friday.
The weather forecasting people are predicting windy, cold, and
possibly wet weather for this coming weekend.
Next Monday is a holiday (Veteran's Day). The will hopefully give
me time enough to grade the Scientific Paper reports and to produce
updated grade summaries.
There's
a common misconception
involving the Coriolis force. You
might have
heard
that
water
spins
in
a
different
direction
when
it
drains from a sink or a toilet bowl in the southern hemisphere
than it does in the northern hemisphere. You might also have
heard that this is due to the Coriolis force or the Coriolis
effect.
The Coriolis force does
cause winds to spin in opposite directions around large scale high and
low pressure
centers in the northern and southern hemisphere. The
PGF starts the air moving (in toward low, out and
away from high pressure) then the Coriolis force bends the wind to the
right (N. hemisphere) or to the left (S. hemisphere).
Here's what you end up with in the case of low pressure (you'll find
these figures on p. 130 in the photocopied ClassNotes):
Air starts to move inward
toward
low pressure (the dots show this initial motion). Then
the
Coriolis force causes it to turn to the right or left depending on
which hemisphere you're in. You should be able to say which of
the pictures above is the northern hemisphere and which is the southern
hemisphere picture.
The same kind of idea applies
to
high
pressure except that the air starts moving outward (the dots
aren't included here). The Coriolis
force then turns it to the right or left.
There are situations where the PGF is much stronger
than
the
CF and the CF can be ignored.
A
tornado
is
an
example.
The
PGF
is
much
much
stronger
than
the
CF
and
the
CF
can
be
ignored.
Winds
can
blow
around
Low
pressure
because
the PGF points inward.
The wind can
spin in either direction in either
hemisphere.
Note that without the CF, winds can't spin around High
pressure because
there is nothing to provide the needed inward force.
OK, what about water draining from
sinks, buckets, toilets etc.
There's just an inward pointing
PGF, no
CF. Water can spin in either direction in either
hemisphere. What causes the inward pointing PGF? The water
at the end of the spinning water is a little deeper than in the
middle. Since pressure depends on weight, the pressure at the
outer edge of the spinning water is higher than in the center.
This creates the inward pointing pressure gradient (pressure
difference) force.
Water draining from a sink or toilet can spin in
either direction. It doesn't matter where you're located.
But this something we should probably checkout for ourselves,
so here
is one of my favorite
Optional Assignments of the semester. You must submit the
assignment by 5 pm on Friday.
The first thing we'll do today is look at and try to understand the
development of a thermal circulation.
Differences
in
temperature like you might find between a coast and
the ocean or between a city and the surrounding country side can create
horizontal pressure differences. The horizontal pressure gradient can
then produce a wind flow pattern known as a thermal circulation.
When dealing with these usually small scale circulations, the
pressure gradient force is often so much stronger than the Coriolis
force
that the
Coriolis force can be ignored.
We will learn how thermal
circulations develop and then apply to concept to the earth as a
whole
in order to understand large global scale pressure and wind
patterns. You really can't
ignore the Coriolis force in a situation like that so the concept is
not really applicable on that scale. But much of what it predicts
is actually found in the real world. That's why we'll cover and
study this topic.
Thermal
Circulations
You'll find this
discussed on p. 131 in the photocopied Class Notes.
The figures below are more
carefully drawn versions of what is in the ClassNotes.
The
picture
shows a sea
coast. There aren't any temperature differences yet in this
picture (both the ocean and the land are shaded green), so the pressure
at the ground and above the
ground are the same over the land and over the ocean.
A beach will often become much
warmer than the
nearby
ocean during
the day (the sand gets hot enough that it is painful to walk across in
bare feet). The ocean has higher specific heat, is much harder to warm,
and won't change
temperature much during the day. The warm ground will warm the
air above. Pressure
decreases more slowly as you move upward through warm low density
air (this is something we covered early in the semester). As you
move from the ground to the level of the green line
in the picture above pressure decreases 90 mb in the warm air and a
little more, 100 mb, in the cooler denser air over the ocean.
Here's another way of arriving at the same result.
The layer of warm air
on the left expands, ushing the 900 mb pressure level to a higher level
than it
would normally be found. 910 mb pressure
from a little lower altitude moves in to take its place.
The temperature differences at the
ground have created an upper
level pressure
gradient (pressure difference), higher pressure (910 mb) on the left
and lower pressure (900 mb) on the right. The resulting pressure
gradient force (PGF) causes air to start to blow from left to right.
The upper level winds (which remove air from the left side of the
picture and add it to the right) will then affect the surface pressure
pattern.
The sea level pressure is
determined by the weight of the air overhead. Air leaving the
left side of the
picture
will lower the surface pressure (from 1000 mb to 990 mb). Adding
air aloft to the right side of the picture will increase the surface
pressure (from 1000 mb to 1010 mb). Surface winds will start to
blow from right to left.
You can complete the circulation
loop by adding rising air
above the
surface low pressure at left and sinking air above the surface high at
right. The surface winds which blow from the ocean onto land are
called a sea breeze (the name tells you where the winds come
from). Since this air is likely to be moist, cloud formation is
likely when the air rises over the warm ground. Rising air
expands and cools. If you cool moist air to its dew point, clouds
form.
Here's a short cut that will allow you to quickly figure the
directions of the winds in a
thermal
circulation without going through a long-winded development like we
just done. Just
remember
that warm air rises
Draw
in
a
rising
air
arrow
above
the
warm
part
of
the
picture, then complete the loop.
At night the ground cools more quickly than the ocean and becomes
colder than the water (the water temperature didn't change at all in
the picture below). Rising air is found over the ocean
water because it is warmer than the land. The thermal circulation
pattern reverses
direction. Surface winds blow from the land out over the
ocean. This is referred to as a land breeze.
Clouds now form out over the ocean.
Here
are
some
additional
examples
of
thermal
circulations
or
large
scale
circulations
that
resemble
thermal circulations.
Cities are often warmer than the
surrounding
countryside,
especially at night. This is referred to as the urban heat island
effect. This difference in temperature can create a
"country breeze." This will sometimes carry pollutants
from a factory or odors from a
sewer treatment plant located outside the city back into
town.
The Asian monsoon is a large scale circulation
pattern and is much more complex than a simple thermal
circulation. However you can
use the thermal circulation concept to get a general understanding of
what to expect at different times of the year. Before
looking at that let's be clear about the meaning of the term monsoon.
Monsoon just refers to a seasonal change in the direction of the
prevailing winds. Most of the year in Arizona winds come from the
west and are dry. For 2 or 3 months in the summer winds come from
the south and southeast. This is when we get our
summer thunderstorm season or summer monsoon. The term monsoon is
often used (incorrectly) to refer to the thundertstorms themseolves.
In the summer land masses in India
and Asia
become warmer than the
oceans
nearby. Surface low pressure forms over the land, moist winds
blow from the ocean onshore, and very large amounts of rain can
follow. A map view (top view) is shown at left, a
crossectional view is shown at right (it resembles a large sea breeze).
The winds change
directions in the
winter when the
land becomes colder
than the ocean.
You can
also use the thermal circulation to understand some of the basic
features of the El Nino phenomenon (you find a discussion of the El
Nino on pps 135-139 in the photocopied Classnotes).
First here is what conditions look like in the tropical Pacific
Ocean
in non-El Nino years (top and side views again)
Cold ocean currents
along the west coasts of N. America and S.
American normally converge at the equator and begin to flow westward
(see top view above). As the water travels westward it
warms. Some of the warmest sea surface waters on earth are
normally found
in the western Tropical Pacific (this is also where hurricanes are most
frequent). A temperature gradient becomes
established between the W. and E. ends of the tropical Pacific. The
crossectional view above shows the normal temperature and circulation
pattern found in the equatorial Pacific Ocean. You would
find surface high pressure in the east and low pressure in the
west. Note that the wind circulation pattern is the same as the
simple thermal circulation we studied above.
During a La Nina event, waters in the Eastern Pacific are even
colder than normal. This generally produces drier than normal
conditions during the winter in the desert SW. This was the case
last winter. You can read more about La Nina here.
Every few years El Nino conditions occur and the cold
currents don't
make it to the
Equator. Warm water is carried from the western Pacific to the
eastern Pacific. The temperature and pressure basically reverses
itself.
Now surface high
pressure is found in the west and surface low
pressure and rising air is found in the E. Pacific (the reversal in the
surface pressure pattern is referred to as the southern
oscillation). Indonesia and Australia often experience drought
conditions (and devastating wildfires) during El Nino years. In
the desert SW we expect
slightly wetter than normal conditions (perhaps 20% wetter than
normal). Wetter conditions are also found in California and in
the SE US.
Here's a map showing the effects of El Nino and La Nina conditions
on winter weather in N. America (source).
This map wasn't
shown in class.
Now we are next going
to use the
thermal
circulation
idea
to
learn
something
about
global
scale
pressure
and
wind
patterns
on the
earth. Ordinarily you couldn't apply a small scale phenomena like
a thermal circulation to the much larger global scale. However if
we make some simplifying assumptions, particularly if we assume that
the earth doesn't rotate or only rotates slowly, we can ignore the
Coriolis force and a thermal circulation would become established.
Some additional simplifications are also made and are listed below
(p.
133 in the photocopied Classnotes). The figures are more
carefully drawn versions of what was done in class.
Because the earth isn't tilted, the
incoming sunlight
shines
on the earth most directly at
the
equator. The equator will become hotter than the poles. By
allowing
the
earth
to
rotate
slowly
we
spread
this
warmth
out
in
a
belt
that
circles
the
globe
at
the
equator rather than concentrating it in a
spot on
the side of the earth facing the sun. Because the
earth is of uniform composition there aren't any temperature
differences created between oceans and continents.
You can see the wind
circulation pattern that would develop. You'd find rising
air at the equator (the "warm air rises" shortcut rule again).
Upper level winds would blow from equator toward the N and S
Poles. Winds would converge and sink at the poles. Surface
winds would blow from the poles toward the equator. The term one
cell
just refers to the single complete
loop
in each hemisphere.
Next we will remove the assumption concerning the rotation of the
earth. We won't be able to ignore the Coriolis force now.
Here's what a computer would
predict you would now see
on
the earth. The temperature pattern remains the same and things
are pretty much the same at the equator in the
three cell and one cell models: surface low pressure and rising
air. At
upper levels the winds begin to blow from the equator toward the
poles. Once headed toward the poles the upper
level winds are deflected by the Coriolis force.
There end up being three closed loops in the northern and in the
southern hemispheres. There are surface belts of low
pressure
at the equator (the equatorial low)
and at 60 degrees latitude (the subpolar
low). There are belts of high pressure (the subtropical high) at 30
latitude and high pressure centers at the two poles (the polar highs).
On Friday we will look at the 3-cell model surface features
(pressure belts
and
winds) in a little more detail because
some of what is predicted, even with the unrealistic assumptions, is
actually found on the earth.