NATS 101

Lecture 12
Vertical Stability

Tennis Basics
Air Molecules Act Similarly
Rising Air Cools-Sinking Air Warms
Rising air parcel expands
Expansion requires work against outside air
Air molecules rebound from ÒwallsÓ at a slower speed, resulting in a cooler temperature
Assuming no transfer of heat across parcel walls (adiabatic expansion), cooling rate is 10oC/km

Adiabatic Cooling-Warming
Rising, Saturated Air Cools Less
As a saturated parcel rises and expands, the release of latent heat mitigates 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

Moist Flow over a Mountain
Brain Burners
Rising and sinking unsaturated (clear) air
Temp changes at Dry Adiabatic Rate (DAR) of 10oC/km
Dew point changes at rate of 2oC/km
Rising and sinking saturated (cloudy) air
Temp 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

Assignment for Next Lecture
Topic - Precipitation Processes
Reading - Ahrens p121-134
Problems - 5.14, 5.16, 5.17