Notes
Slide Show
Outline
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Lecture 2: Global Energy Balance
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Planetary Energy Balance
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Solar Flux and Flux Density
  •  Solar Luminosity (L)
  •      the constant flux of energy put out by the sun
  •                          L = 3.9 x 1026   W
  •  Solar Flux Density (Sd)
  •      the amount of solar energy per unit area on a sphere centered at the Sun with a distance d
  •                          Sd  = L / (4 p d2)   W/m2


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Solar Flux Density Reaching Earth
  •  Solar Constant (S)
  •     The solar energy density at the mean distance of      Earth from the sun (1.5  x 1011 m)
  •         S = L / (4 p d2)
  •            = (3.9 x 1026 W) / [4 x 3.14 x (1.5  x 1011 m)2]
  •            = 1370 W/m2
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Solar Energy Absorbed by Earth
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Solar Energy Incident On the Earth
  •  Solar energy incident on the Earth
  •       =  total amount of solar energy can be absorbed by Earth
  •       =  (Solar constant) x (Shadow Area)
  •       =  S x p R2Earth
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Albedo = [Reflected] / [Incoming] Sunlight
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What Happens After the Earth Absorbs Solar Energy?
  •  The Earth warms up and has to emit radiative  energy back to the space to reach a equilibrium condition.


  •  The radiation emitted by the Earth is called “terrestrial radiation” which is assumed to be like blackbody radiation.
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Blackbody Radiation
  •  Blackbody
  •     A blackbody is something that emits (or absorbs) electromagnetic radiation with 100% efficiency at all wavelength.


  •  Blackbody Radiation
  •      The amount of the radiation emitted by a blackbody depends on the absolute temperature of the blackbody.
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Energy Emitted from Earth
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Planetary Energy Balance
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Greenhouse Effect
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Two Key Reasons for the Greenhouse Effect
  •  Solar and terrestrial radiations are emitted at very different wavelengths.


  •  The greenhouse gases selectively absorb certain frequencies of radiation.
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Spectrum of Radiation
  • Radiation energy comes in an infinite number of wavelengths.
  • We can divide these wavelengths into a few bands.
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Wien’s Law
  • Wien’s law relates an objective’s maximum emitted wavelength of radiation to the objective’s temperature.
  • It states that the wavelength of the maximum emitted radiation by an object is inversely proportional to the objective’s absolute temperature.
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Apply Wien’s Law To Sun and Earth
  •  Sun
  •      lmax = 2898 mm K / 6000K
  •              = 0.483 mm


  •  Earth
  •      lmax = 2898 mm K / 300K
  •              = 9.66 mm


  • Sun radiates its maximum  energy within the visible portion of the radiation spectrum, while Earth radiates its maximum energy in the infrared portion of the spectrum.
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Wavelength and Temperature
  • The hotter the objective, the shorter the wavelength of the peak radiation.
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Selective Absorption and Emission
  • The atmosphere is not a perfect blackbody, it absorbs some wavelength of radiation and is transparent to others (such as solar radiation). è Greenhouse effect.
  • Objective that selectively absorbs radiation usually selectively emit radiation at the same wavelength.
  • For example, water vapor and CO2 are strong absorbers of infrared radiation and poor absorbers of visible solar radiation.
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Why Selective Absorption/Emission?
  • Radiation energy is absorbed or emitted to change the energy levels of atoms or molecular.
  • The energy levels of atoms and molecular are discrete but not continuous.
  • Therefore, atoms and molecular can absorb or emit certain amounts of energy that correspond to the differences between the differences of their energy levels.
  • è Absorb or emit at selective frequencies.
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Different Forms of Energy Levels
  • The energy of a molecule can be stored in  (1) translational (the gross movement of molecules or atoms through space), (2) vibrational, (3) rotational, and (4) electronic (energy related to the orbit) forms.
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Energy Required to Change the Levels
  • The most energetic photons (with shortest wavelength) are at the top of the figure, toward the bottom, energy level decreases, and wavelengths increase.
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Three Factors To Determine
 Planet Temperature
  •  Distance from the Sun
  •  Albedo
  •  Greenhouse effect
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Earth, Mars, and Venus
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Global Temperature
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Greenhouse Effects
  •  On Venus è 510°K (very large!!)
  •  On Earth   è 33°K
  •  On Mars   è 6°K (very small)
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Why Large Greenhouse Effect On Venus?
  •  Venus is too close to the Sun
  •  Venus temperature is very high
  •  Very difficult for Venus’s atmosphere to get saturated in water vapor
  •  Evaporation keep on bringing water vapor into Venus’s atmosphere
  •  Greenhouse effect is very large
  •  A “run away” greenhouse happened on Venus
  •  Water vapor is dissociated into hydrogen and oxygen
  •  Hydrogen then escaped to space and oxygen reacted with carbon to form carbon dioxide
  •  No water left on Venus (and no more chemical weathering)
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Why Small Greenhouse Effect on Mars?
  •  Mars is too small in size
  • Mars had no large internal heat
  • Mars lost all the internal heat quickly
  • No tectonic activity on Mars
  • Carbon can not be injected back to the atmosphere
  • Little greenhouse effect
  • A very cold Mars!!
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Vertical View of the Energy Balance
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Vertical Distribution of Energy
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Where Is Earth’s Radiation Emitted From?
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Cloud Type Based On Properties
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Cloud Types Based On Height
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Important Roles of Clouds In Global Climate
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Zenith Angle and Insolation
  • The larger the solar zenith angle, the weaker the insolation, because the same amount of sunlight has to be spread over a larger area.
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Latitudinal Variations of Net Energy
  • Polarward heat flux is needed to transport radiation energy from the tropics to higher latitudes.
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Polarward Energy Transport
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How Do Atmosphere and Ocean Transport Heat?
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