NATS 101

Lecture 9
Why temperature decreases with altitude

Precipitation

NowÉ Vertical Stability
Tennis Basics
Air Molecules Act Similarly
Rising Air Cools-Sinking Air Warms
Rising air parcel expands because pressure decreases with altitude
Expansion requires that the molecules do work against surrounding air
This uses up some of their internal energy which results in their temperature decreasing
Assuming no transfer of heat across parcel walls (adiabatic expansion), cooling rate is 10oC/km

Relative Humidity
Air with a RH=100% is said to be saturated.
RH depends on air temperature (SVP).
RH changes by either changing airÕs water vapor content or the airÕs temperature.

Adiabatic Cooling-Warming
Rising, Saturated Air Cools Less
As a saturated parcel rises and expands, the release of latent heat offset some of the adiabatic cooling
Cooling for saturated air varies with mixing ratio.
We will use an average value of 6oC/km for moisture lapse rate
Note: sinking clear air always warms at dry lapse rate

SVP and Temperature
As air parcel is lifted, it expands
decreasing its temperature,
decreasing its SVP
Also decreases water vapor density, VP and dew point
As a result, its relative humidity increases
If lifted high enough, RH=100% and cloud forms
Continued lifting causes more cooling
more water condenses out

Slide 10
Moist Flow over a Mountain
Brain Burners
Rising unsaturated (clear) air, and all sinking air
Temperature changes at Dry Adiabatic Rate (DAR) of 10oC/km
Dew point changes at rate of 2oC/km
Rising saturated (cloudy) air
Temperature cools at Moist Adiabatic Rate (MAR) of 6oC/km
Dew point decreases at rate of 6oC/km

Concept of Stability
ArchimedesÕ Principle
Archimedes' principle is the law of buoyancy.
It states that "any body partially or completely submerged in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the body."
The weight of an object acts downward, and the buoyant force provided by the displaced fluid acts upward. If the density of an object is greater/less than the density of water, the object will sink/float.
Demo: Diet vs. Regular Soda.
http://www.onr.navy.mil/focus/blowballast/sub/work2.htm

Absolutely Stable: Top Rock
Stable air strongly resists upward motion
External force must be applied to an air parcel before it can rise
Clouds that form in stable air spread out horizontally in layers, with flat bases-tops

Absolutely Unstable: Middle Rock
Unstable air does not resist upward motion
Clouds in unstable air stretch out vertically
Absolute instability is limited to very thin layer next to ground  on hot, sunny days
Superadiabatic lapse rate

Conditionally Unstable: Lower Rock
Environmental Lapse Rate (ELR)
Summary: Key Concepts I
Rising unsaturated air, and all sinking air
Temp changes at DAR of  10oC/km
DP changes at rate of  2oC/km
Saturation occurs with sufficient lifting
Rising saturated air
Latent Heating Mitigates Adia. Cooling
Temp and DP cools at MAR of  6oC/km
Note that MAR is always less than DAR

Summary: Key Concepts II
Vertical Stability Determined by ELR
Absolutely Stable and Unstable
Conditionally Unstable
Temp Difference between ELR and Air Parcel, and Depth of Layer of Conditionally Instability Modulates
Vertical Extent and Severity of Cumulus

NATS 101

Precipitation Processes

Supplemental References for Precipitation processes
Danielson, E. W., J. Levin and E. Abrams, 1998: Meteorology. 462 pp. McGraw-Hill. (ISBN 0-697-21711-6)
Gedzelman, S. D., 1980: The Science and Wonders of the Atmosphere. 535 pp. John-Wiley & Sons. (ISBN 0-471-02972-6)

Cloud Droplets to Raindrops
A raindrop is 106 bigger than a cloud droplet
Several days are needed for condensation alone to grow raindrops
Yet, raindrops can form from cloud droplets in a less than one hour
What processes account for such rapid growth?

Terminal Fall Speeds              (upward suspension velocity)
Collision-Coalescence
Big water drops fall faster than small drops
As big drops fall, they collide with smaller drops
Some of the smaller drops stick to the big drops
Collision-Coalescence
 Drops can grow by this process in warm clouds with no ice
Occurs in warm tropical clouds

Warm Cloud Precipitation
As cloud droplet ascends, it grows larger by collision-coalescence
Cloud droplet reaches the height where the updraft speed equals terminal fall speed
As drop falls, it grows by collision-coalescence to size of a large raindrop

Mixed Water-Ice Clouds
Clouds that rise above freezing level contain mixture of water-ice
Mixed region exists where Temps > -40oC
Only ice crystals exist where Temps < -40oC
Mid-latitude clouds are generally mixed

SVP over Liquid and Ice
SVP over ice is less than over water because sublimation takes more energy than evaporation
If water surface is not flat, but instead curves like a cloud drop, then the SVP difference is even larger
So at equilibrium, more vapor resides over cloud droplets than ice crystals

SVP near Droplets and Ice
Ice Crystal Process
Since SVP for a water droplet is higher than for ice crystal, vapor next to droplet will diffuse towards ice
Ice crystals grow at the expense of water drops, which freeze on contact
As the ice crystals grow, they begin to fall

Accretion-Aggregation Process
Summary: Key Concepts
Condensation acts too slow to produce rain
Several days required for condensation
Clouds produce rain in less than 1 hour
Warm clouds (no ice)
Collision-Coalescence Process
Cold clouds (with ice)
Ice Crystal Process
Accretion-Splintering-Aggregation

Examples of Precipitation Types
Temp Profiles for Precipitation
Summary: Key Concepts
Precipitation can take many forms
Drizzle-Rain-Glazing-Sleet-Snow-Hail
Depending on specific weather conditions
Radar used to sense precipitation remotely
Location-Rate-Type (liquid v. frozen)
Cloud drops with short wavelength pulse
Wind component toward and from radar

Assignment
Topic - Precipitation Processes
Reading - Ahrens p121-134
Problems - 5.14, 5.16, 5.17
Topic – Atmospheric Pressure
Reading - Ahrens pg 141-148
Problems - 6.1, 6.7, 6.8

Assignment for Next Lecture