| Lecture 7 Notes October 12, 2004 |

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Coriolis Effect: The coriolis effect
is influential on most atmospheric circulations on Earth but it was first
introduced as the reason why the Hadley doesn't reach from the equator to
the pole. Basically north-south motions on the planet are displaced by the
coriolis effect to the extent that after traveling about 30 deg in the tropics,
the flow is no longer going northward or southward anymore.
The coriolis effect can be understood as resulting from the curvature of
a body in rotation. On Earth at the equator, an object is moving at a speed
of about 1700km/hr. At 60 deg N the speed is half that and at the north pole
it is zero (even though the object is still rotation).
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- The figures I showed in class about how to think about
the coriolis effect for north-south and east-west motions are from a web
site called "Getting
around the Coriolis Effect". I reproduced the one for east-west motions
here. The heavy arrow represent displacements for initial eastward (red)
or intial westward (green) motions. Note that the displacements are perpendicular
to Earth's axis of rotation. The main thing I added in my presentation was
about the vertical component (pink arrow pointing perpendicular to the surface)
of the heavy red arrow. I said it can be neglected for most atmospheric
motions. The reason is because the effect is swamped by other influences
on vertical motion. Thus the coriolis effect is only appreciable in the horizontal
plane.
Facts about the coriolis effect:
- Displaces winds to the right in the northern hemisphere
and to the left in the southern hemisphere
- Only acts on something (like the wind) that is in motion
on a rotating body (with respect to that body)
- It is zero at the equator for east-west motions (the case
where the displacement arrow in the figure to the right is perpendicular
to the surface, which I just noted can be neglected)
- It is a ficticious force but a useful concept
- doesn't affect water draining in your sink ...
Final thought provoking question: what if the Earth were a cylinder? Where
would the coriolis effect act?
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Forces important for horizontal
motions:
- Pressure gradient force
- Friction
- Coriolis Force
- Centrifugal Force (around high/low centers)
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Forces important for vertical motions:
- Pressure gradient force
- Gravity
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I mentioned that the Hadley cell spans the whole tropics but the rising motion
is concentrated in intense regional (10s of km) bursts that give rise to
bursts of convection. Thus the ITCZ looks like a string of puffy clouds from
space, not a continuous line of clouds. The Hadley circulation and ITCZ also
migrate seasonally as the most intense rising motion follows the peak in
incoming solar radiation. The migration is only to about 8 deg on either
side of the equator, but it has a sizeable influence on the seasonal cycle
of rainfall (which goes with the convection) and atmospheric heat transport.
I described some of the basic concepts for midlatitude circulations.
The concept of a polar front, the jet stream, and geostrophic wind were mentioned
and are described well in the text
I showed a 300 mbar height map, which
is a contour map of the topographic surface (or elevation) of the 300 mbar
pressure surface. The one in your text book (Figure 4-14) is averaged over
a whole month, which is a mismatch with how it is described in the text.
Follow this link from the atmospheric sciences department web site to have
a look at a recent "instantaneous" map http://www.atmos.washington.edu/data/difax/ua_300.gif.
Things to look for are:
- wind direction is along contours
- wind speed is highest where contours are closely spaced, this
is the location of the jet stream
- winds while meandering, are generally westerly (from west to
east)
Follow this link http://www.atmos.albany.edu/weather/difax/3094.gif
to compare the 300mbar (upper air) map with a surface map. The
surface map more clearly shows the winds deflected by friction and topography.
I described circulations and temperatures associated with land/sea contrasts.
I'll try to add some notes on these later. See lecture notes for the next
day. Also the book is fine on these topics.
The last figure I showed is from Chapter 6 and is perhaps the most interesting
one I showed.

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This figure shows the global warming in
climate model simulations in response to increasing CO2. The CO2 was increased
at a rate of 1% per year, which is an idealized guess of future greenhouse
gas emissions. The blue wiggly curves prior to year 70 are both responding
to the same CO2 rate of increase, but at year 70, the CO2 level is held fixed
in one model (the blue line begins to level off) and allowed to continue
rising in the other until about year 100 (the blue line that stops at year
100). This is done to illustrate four concepts.
- "Time of doubling" how long it takes for CO2 to reach twice
the starting level (don't need a climate model for this). Its 70 years!
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- TCR or "Transient Climate Response" is the warming that has occured
at the time of doubling. It is called transient because the climate system
has not yet come into equilibrium with the response to the CO2
- If we wait a long long time, the climate will come into equilibrium
(see below). When it does the warming that has occured since the start is
called the "Climate Sensitivity".
- We use the term "Commitment" to indicate how much warming we
have committed to, even though we stop increasing CO2. The blue curve thats
carries on out to 500 yrs shows us this commitment for the next few centuries
for doubling CO2 over the next 70 years. This is meant to be a lesson in
payback time. You can see that this curve doesn't rise as steeply as the
one where CO2 is raised even after it has doubled, but it is still rising.
A final word about why the long long time to reach the new equilibrium. You
may see that I modified the slide here from the one I showed in class. It
erroneously said the lag is due to the time it takes to heat the upper ocean.
This is not correct. It should say whole ocean, and the whole ocean has an
enormous thermal mass.
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