NATS 101

Lecture 5

Greenhouse Effect and Earth-Atmo Energy Balance
and
the Seasons

Review Items
Heat Transfer
Latent Heat
WienÕs Displacement Law Ramifications
Stefan-Boltzman Law Ramifications

New Business
Selective Absorption and Emission
Earth-Atmo Energy Balance

Modes of Heat Transfer
Latent Heat Take 2
General Laws of Radiation
All objects above 0 K emit radiant energy
Hotter objects radiate more energy per unit area than colder objects, result of Stefan-Boltzman Law
The hotter the radiating body, the shorter the wavelength of maximum radiation, result of  WienÕs Displacement Law
Objects that are good absorbers of radiation are also good emittersÉtodayÕs lecture!

SunÕs Radiation Spectrum
Sun - Earth Radiation Spectra
What is Radiative Temperature of Sun if Max Emission Occurs at 0.5 mm?
Apply WienÕs Displacement Law

How Much More Energy is Emitted by the Sun than the Earth?
Apply Stefan-Boltzman Law

Radiative Equilibrium
Radiation absorbed by an object increases the energy of the object.
Increased energy causes temperature to increase (warming).
Radiation emitted by an object decreases the energy of the object.
Decreased energy causes temperature to decrease (cooling).

Radiative Equilibrium (cont.)
When the energy absorbed equals energy emitted, this is called Radiative Equilibrium.
The corresponding temperature is the Radiative Equilibrium Temperature.

Why Selective, Discrete Absorption/Emission?
Life as we perceive it:    A continuous world!
Atomic perspective:       A quantum world!

Energy States for Atoms
Electrons can orbit in only permitted states
A state corresponds to specific energy level
Only quantum jumps between states
Intervals correspond to specific wavelengths

Energy States for Molecules
Molecules can
   rotate, vibrate
But only at           specific energy levels or frequencies
Quantum intervals between modes correspond to   specific wavelengths

Selective Absorption
The Bottom Line
Each molecule has a unique distribution of quantum states!
Each molecule has a unique spectrum of absorption and emission frequencies of radiation!

Absorption
Visible (0.4-0.7 mm) is absorbed very little
O2 an O3 absorb UV (shorter than 0.3 mm)
Infrared (5-20 mm) is selectively absorbed
H2O & CO2 are strong absorbers of IR
Little absorption of IR around 10 mm – atmospheric window

Total Atmospheric Absorption
Visible radiation (0.4-0.7 mm) is not absorbed
Infrared radiation (5-20 mm) is selectively absorbed, but there is an emission window at 10 mm

Global Solar Radiation Balance     (Only half of Solar Radiation SR reaches the surface)
Atmosphere Heated from Below
Global Atmo Energy Balance
Summary
Greenhouse Effect (A Misnomer)
Surface Warmer than Rad. Equil. Temp
Reason: selective absorption of air
H2O and CO2 most absorbent of IR
Energy Balance
Complex system has a delicate balance
All modes of Heat Transfer are important

NATS 101
Intro to Weather and Climate

Next subject:
The Seasons

Supplemental References for TodayÕs Lecture
Aguado, E. and J. E. Burt, 2001: Understanding Weather & Climate, 2nd Ed. 505 pp. Prentice Hall. (ISBN 0-13-027394-5)
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)
Lutgens, F. K. and E. J. Tarbuck, 2001: The Atmosphere, An Intro-duction to the Atmosphere, 8th Ed. 484 pp. Prentice Hall.            (ISBN 0-13-087957-6)
Wallace, J. M. and P. V. Hobbs, 1977: Atmospheric Science, An Introductory Survey. 467 pp. Academic Press. (ISBN 0-12-732950-1)

Reasons for Seasons
Tilt of EarthÕs Axis - Obliquity
Angle between the Equatorial Plane    and the Orbital Plane
Eccentricity of EarthÕs Orbit
Elongation of Orbital Axis

Eccentricity of Orbit
Slide 27
Solar Zenith Angle
Depends on latitude, time of day & season
Has two effects on an incoming solar beam
Surface area covered or Spreading of beam
Path length through atmosphere or Attenuation of beam

Beam Spreading
Low Zenith - Large Area, Much Spreading
High Zenith - Small Area, Little Spreading

Beam Spreading
Atmospheric Path Length
Length of Day
Day Hours at Solstices - US Sites
Summer-Winter
Tucson (32o 13Õ N)     14:15 - 10:03
Seattle (47o  38Õ N)     16:00 - 8:25
Anchorage (61o 13Õ N)      19:22 - 5:28
Fairbanks (64o 49Õ N)      21:47 - 3:42
Hilo (19o 43Õ N)                 13:19 - 10:46

Path of Sun
Hours of daylight increase from winter to summer pole
Equator always has    12 hours of daylight
Summer pole has       24 hours of daylight
Winter pole has       24 hours of darkness
Note different Zeniths

Noon Zenith Angle at Solstices
Summer-Winter
Tucson AZ (32o 13Õ N)    08o 43Õ - 55o 43Õ
Seattle WA (47o  38Õ N) 24o  08Õ - 71o  08Õ
Anchorage AK (61o 13Õ N)  37o  43Õ - 84o  43Õ
Fairbanks AK (64o 49Õ N)   41o  19Õ - 88o  19Õ
Hilo HI (19o 43Õ N)          3o 47Õ (north) - 43o 13Õ

Is Longest Day the Hottest Day?
Annual Energy Balance
Heat transfer done by winds and ocean currents
Differential heating drives winds and currents
We will examine later in course

Summary
Tilt (23.5o) is primary reason for seasons
Tilt changes two important factors
Angle at which solar rays strike the earth
Number of hours of daylight each day
Warmest and Coldest Days of Year  Occur after solstices, typically around a month
Requirement for Heat Transport          Done by Atmosphere-Ocean System

Assignments for Next Lectures
Ahrens (next lecture)
Pages 55-64
Problems:
   3.1, 3.2, 3.5, 3.6, 3.14