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Millenial NH temperature trend [IPCC, 2001]
GLOBAL CLIMATE CHANGE SINCE 1850 [IPCC, 2007] IPCC [2007]
EMISSION OF RADIATION ,[object Object],[object Object],Here   is the  radiation flux  emitted in [  is the  flux distribution function  characteristic of the object Total radiation flux emitted by object:
BLACKBODY RADIATION ,[object Object],[object Object],   ,[object Object],[object Object], max  =  hc/5kT  Wien’s law Function of T only! Often denoted  B(  T )  max
KIRCHHOFF’S LAW:  Emissivity   T ) = Absorptivity Illustrative example: Kirchhoff’s law allows determination of the emission spectrum of any object solely from knowledge of its absorption spectrum and temperature  For any object:  … very useful!
SOLAR RADIATION SPECTRUM: blackbody at 5800 K
TERRESTRIAL RADIATION SPECTRUM FROM SPACE: composite of blackbody radiation spectra for different  T Scene over Niger valley, N Africa
SHORT QUESTIONS ,[object Object],[object Object],[object Object]
RADIATIVE EQUILIBRIUM FOR THE EARTH Solar radiation flux intercepted by Earth =  solar constant  F S  =  1370 W m -2 Radiative balance   effective temperature  of the Earth: where  A  is the  albedo  (reflectivity) of the Earth = 255 K
ABSORPTION OF RADIATION BY GAS MOLECULES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Gases that absorb radiation near the spectral maximum of terrestrial emission (10   m) are called  greenhouse gases;  this requires vibrational or vibrational-rotational transitions
NORMAL VIBRATIONAL MODES OF CO 2 forbidden allowed allowed IR spectrum of CO 2 bend asymmetric stretch
GREENHOUSE EFFECT: absorption of terrestrial radiation by the atmosphere ,[object Object],[object Object]
SIMPLE MODEL OF GREENHOUSE EFFECT Earth surface ( T o )  Absorption efficiency 1- A  in VISIBLE 1 in IR Atmospheric layer ( T 1 ) abs. eff. 0   for solar (VIS) f   for terr. (near-IR) Incoming solar Reflected solar Surface emission Transmitted surface Atmospheric emission Atmospheric emission ,[object Object],[object Object],[object Object],Solution: T o =288 K   f=0.77 T 1  = 241 K VISIBLE IR
SHORT QUESTIONS ,[object Object],[object Object]
RADIATIVE AND CONVECTIVE INFLUENCES ON ATMOSPHERIC THERMAL STRUCTURE In a purely radiative equilibrium atmosphere  T  decreases exponentially with  z , resulting in unstable conditions in the lower atmosphere; convection then redistributes heat vertically following the adiabatic lapse rate
EQUILIBRIUM RADIATIVE BUDGET FOR THE EARTH
TERRESTRIAL RADIATION SPECTRUM FROM SPACE: composite of blackbody radiation spectra emitted from different altitudes at different temperatures
HOW DOES ADDITION OF A GREENHOUSE GAS WARM THE EARTH? 1. 1. Initial state 2. 2. Add to atmosphere a GG absorbing at 11   m; emission at 11   m decreases (we don’t see the surface anymore at that   but the atmosphere) 3. At new steady state, total emission integrated over all   ’s must be conserved     Emission at other   ’s must increase     The Earth must heat!  3. Example of a GG absorbing at 11   m
EFFICIENCY OF GREENHOUSE GASES FOR GLOBAL WARMING The efficient GGs are the ones that absorb in the “atmospheric window” (8-13   m).  Gases that absorb in the already-saturated regions of the spectrum are not efficient GGs.
RADIATIVE FORCING OF CLIMATE CHANGE Incoming solar  radiation Reflected solar radiation (surface, air, aerosols, clouds) F out F in IR terrestrial radiation ~  T 4 ;  absorbed/reemitted by greenhouse gases, clouds, absorbing aerosols EARTH SURFACE ,[object Object],[object Object],[object Object],[object Object],Increasing greenhouse gases      F   > 0  positive forcing ,[object Object],where  T o   is the surface temperature and    is a climate sensitivity parameter   eventually leading to steady state
CLIMATE CHANGE FORCINGS, FEEDBACKS, RESPONSE Positive feedback from water vapor causes rough doubling of  
CLIMATE FEEDBACK FROM HIGH vs. LOW CLOUDS convection T o T cloud ≈  T o Clouds reflect solar radiation (  A >  0)   cooling; … but also absorb IR radiation (  f  > 0)   warming WHAT IS THE NET EFFECT?  T o 4  T cloud 4 ≈   T o 4   LOW CLOUD: COOLING  T cloud 4  <   T o 4    T o 4 HIGH CLOUD: WARMING
IPCC [2007]
SHORT QUESTIONS ,[object Object],[object Object]
TERRESTRIAL RADIATION SPECTRUM FROM SPACE: composite of blackbody radiation spectra emitted from different altitudes at different temperatures
ORIGIN OF THE ATMOSPHERIC AEROSOL Soil dust Sea salt Aerosol: dispersed condensed matter suspended in a gas Size range: 0.001   m (molecular cluster) to 100   m (small raindrop)  Environmental importance: health (respiration), visibility, radiative balance, cloud formation, heterogeneous reactions, delivery of nutrients…
SCATTERING OF  RADIATION  BY AEROSOLS: “DIRECT EFFECT” By scattering solar radiation, aerosols increase the Earth’s albedo ,[object Object],[object Object],[object Object],2 (diffraction limit)
EVIDENCE OF AEROSOL EFFECTS ON CLIMATE: Observations NASA/GISS general circulation model  Temperature decrease following large volcanic eruptions Mt. Pinatubo eruption 1991  1992  1993  1994 -0.6  -0.4  -0.2  0  +0.2 Temperature Change ( o C)
SCATTERING vs. ABSORBING AEROSOLS Scattering sulfate and organic aerosol over Massachusetts Partly absorbing dust aerosol downwind of Sahara Absorbing aerosols (black carbon, dust) warm the climate by absorbing solar radiation
AEROSOL “INDIRECT EFFECT” FROM CLOUD CHANGES Clouds form by condensation on preexisting aerosol particles  (“cloud condensation nuclei”)when RH>100% ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
EVIDENCE OF INDIRECT EFFECT: SHIP TRACKS    Particles emitted by ships increase concentration of cloud condensation nuclei (CCN)    Increased CCN increase concentration of cloud droplets and reduce their avg. size     Increased concentration and smaller particles reduce production of drizzle    Liquid water content increases because loss of drizzle particles is suppressed    Clouds are  optically thicker  and brighter along ship track N ~ 100 cm -3 W ~ 0.75 g m -3 r e ~ 10.5 µm N ~ 40 cm -3 W ~ 0.30 g m -3 r e ~ 11.2 µm from D. Rosenfeld
SATELLITE IMAGES OF SHIP TRACKS AVHRR, 27.  Sept. 1987, 22:45 GMT US-west coast NASA, 2002 Atlantic, France, Spain
OTHER EVIDENCE OF CLOUD FORCING: CONTRAILS AND “AIRCRAFT CIRRUS” Aircraft condensation trails (contrails) over France, photographed from the Space Shuttle (©NASA).
 

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Hollow earth, contrails & global warming calculations lecture

  • 1.  
  • 2. Millenial NH temperature trend [IPCC, 2001]
  • 3. GLOBAL CLIMATE CHANGE SINCE 1850 [IPCC, 2007] IPCC [2007]
  • 4.
  • 5.
  • 6. KIRCHHOFF’S LAW: Emissivity  T ) = Absorptivity Illustrative example: Kirchhoff’s law allows determination of the emission spectrum of any object solely from knowledge of its absorption spectrum and temperature For any object: … very useful!
  • 7. SOLAR RADIATION SPECTRUM: blackbody at 5800 K
  • 8. TERRESTRIAL RADIATION SPECTRUM FROM SPACE: composite of blackbody radiation spectra for different T Scene over Niger valley, N Africa
  • 9.
  • 10. RADIATIVE EQUILIBRIUM FOR THE EARTH Solar radiation flux intercepted by Earth = solar constant F S = 1370 W m -2 Radiative balance  effective temperature of the Earth: where A is the albedo (reflectivity) of the Earth = 255 K
  • 11.
  • 12. NORMAL VIBRATIONAL MODES OF CO 2 forbidden allowed allowed IR spectrum of CO 2 bend asymmetric stretch
  • 13.
  • 14.
  • 15.
  • 16. RADIATIVE AND CONVECTIVE INFLUENCES ON ATMOSPHERIC THERMAL STRUCTURE In a purely radiative equilibrium atmosphere T decreases exponentially with z , resulting in unstable conditions in the lower atmosphere; convection then redistributes heat vertically following the adiabatic lapse rate
  • 18. TERRESTRIAL RADIATION SPECTRUM FROM SPACE: composite of blackbody radiation spectra emitted from different altitudes at different temperatures
  • 19. HOW DOES ADDITION OF A GREENHOUSE GAS WARM THE EARTH? 1. 1. Initial state 2. 2. Add to atmosphere a GG absorbing at 11  m; emission at 11  m decreases (we don’t see the surface anymore at that  but the atmosphere) 3. At new steady state, total emission integrated over all  ’s must be conserved  Emission at other  ’s must increase  The Earth must heat! 3. Example of a GG absorbing at 11  m
  • 20. EFFICIENCY OF GREENHOUSE GASES FOR GLOBAL WARMING The efficient GGs are the ones that absorb in the “atmospheric window” (8-13  m). Gases that absorb in the already-saturated regions of the spectrum are not efficient GGs.
  • 21.
  • 22. CLIMATE CHANGE FORCINGS, FEEDBACKS, RESPONSE Positive feedback from water vapor causes rough doubling of 
  • 23. CLIMATE FEEDBACK FROM HIGH vs. LOW CLOUDS convection T o T cloud ≈ T o Clouds reflect solar radiation (  A > 0)  cooling; … but also absorb IR radiation (  f > 0)  warming WHAT IS THE NET EFFECT?  T o 4  T cloud 4 ≈  T o 4 LOW CLOUD: COOLING  T cloud 4 <  T o 4  T o 4 HIGH CLOUD: WARMING
  • 25.
  • 26. TERRESTRIAL RADIATION SPECTRUM FROM SPACE: composite of blackbody radiation spectra emitted from different altitudes at different temperatures
  • 27. ORIGIN OF THE ATMOSPHERIC AEROSOL Soil dust Sea salt Aerosol: dispersed condensed matter suspended in a gas Size range: 0.001  m (molecular cluster) to 100  m (small raindrop) Environmental importance: health (respiration), visibility, radiative balance, cloud formation, heterogeneous reactions, delivery of nutrients…
  • 28.
  • 29. EVIDENCE OF AEROSOL EFFECTS ON CLIMATE: Observations NASA/GISS general circulation model Temperature decrease following large volcanic eruptions Mt. Pinatubo eruption 1991 1992 1993 1994 -0.6 -0.4 -0.2 0 +0.2 Temperature Change ( o C)
  • 30. SCATTERING vs. ABSORBING AEROSOLS Scattering sulfate and organic aerosol over Massachusetts Partly absorbing dust aerosol downwind of Sahara Absorbing aerosols (black carbon, dust) warm the climate by absorbing solar radiation
  • 31.
  • 32. EVIDENCE OF INDIRECT EFFECT: SHIP TRACKS  Particles emitted by ships increase concentration of cloud condensation nuclei (CCN)  Increased CCN increase concentration of cloud droplets and reduce their avg. size  Increased concentration and smaller particles reduce production of drizzle  Liquid water content increases because loss of drizzle particles is suppressed  Clouds are optically thicker and brighter along ship track N ~ 100 cm -3 W ~ 0.75 g m -3 r e ~ 10.5 µm N ~ 40 cm -3 W ~ 0.30 g m -3 r e ~ 11.2 µm from D. Rosenfeld
  • 33. SATELLITE IMAGES OF SHIP TRACKS AVHRR, 27. Sept. 1987, 22:45 GMT US-west coast NASA, 2002 Atlantic, France, Spain
  • 34. OTHER EVIDENCE OF CLOUD FORCING: CONTRAILS AND “AIRCRAFT CIRRUS” Aircraft condensation trails (contrails) over France, photographed from the Space Shuttle (©NASA).
  • 35.  

Notas do Editor

  1. Need to supplement with one of those diagrams…indicating that total radiation flux at the ground includes a lot of longwave.
  2. Question: How many watts/m 2 radiated to space on a clear night in the Niger with the surface still at 320K? (200 cm -1 x 150x10 -3 W/m 2 ) x 2  = 6 x (30+20) = 300 Wm -2 . [ + 200x100x10 -3 ?] Question: What would be the emission rate if T=280 instead of 320 (a cool clear winter night)? Estimate that it goes at T 4 : (7/8) 4 = .58 =&gt; 100 Wm -2 . How much does that cool the air? Assume snow cover (perfect insulator), effect through 100 m depth of air. Heat capacity of air = 1005 J/kg/K. In 1 hour each sq. meter loses 36 KJ. 7000m of air = 10,000 kg/m 2 , so 200m is 300 kg. DelT= 360KJ/300/1.005 = 1.2 K/hr. In a night, 12 hr, 14K; 16 hr, 19K T decline!
  3. At the root of any climate change must be a perturbation of the rad eq of the Earth, a perturbation that we call radiative forcing. The concept of radiative forcing is central to research and policy on climate change, and it is not a difficult concept to understand. The Earth is a thermal engine. A stable climate reflects a close balance between the absorption of solar radiation, indicated here by Fin, and the blackbody emission of IR terrestrial radiation, indicated here by Fout. Aerosols and clouds reflect solar radiation, reducing Fin; greenhouse gases with IR absorption features absorb the terrestrial radiation and reemit it at lower temperatures, decreasing Fout. Perturbations to the levels of aerosols or greenhouse gases thus produces a radiative imbalance which we call radiative forcing. Greenhouse gases, absorbing aerosols result in a positive radiation forcing and the Earth warms; scattering aerosols result in negative radiative forcing and the Earth cools. Eventually, on a time scale of decades limited by the thermal inertia of the ocean, the Earth adjusts to a new radiative equilibrium. For example, the warming resulting from a positive radiative forcing increases the IR terrestrial emission and hence Fout. Many complications and feedbacks are involved in this climate adjustment, involving in particular the effect on the hydrological cycle. Calculations of climate response to a radiative forcing are done by GCMs, which are first-principles physical models for the Earth’s climate. The climate sensitivity factor lambda, defined as the global chance in surface air temperature in response to a unit radiative forcing, varies by a factor of 4 between GCMs, reflecting the uncertainty in climate change calculations. However, for a given GCM, it is found that lambda is relatively insensitive to the type or magnitude of the forcing. Because the radiative forcing can be calculated with much better reliability than the ultimate climate response, it is a widespread metric for use in science and policy.
  4. “ official chart”
  5. Question: How many watts/m 2 radiated to space on a clear night in the Niger with the surface still at 320K? (200 cm -1 x 150x10 -3 W/m 2 ) x 2  = 6 x (30+20) = 300 Wm -2 . [ + 200x100x10 -3 ?] Question: What would be the emission rate if T=280 instead of 320 (a cool clear winter night)? Estimate that it goes at T 4 : (7/8) 4 = .58 =&gt; 100 Wm -2 . How much does that cool the air? Assume snow cover (perfect insulator), effect through 100 m depth of air. Heat capacity of air = 1005 J/kg/K. In 1 hour each sq. meter loses 36 KJ. 7000m of air = 10,000 kg/m 2 , so 200m is 300 kg. DelT= 360KJ/300/1.005 = 1.2 K/hr. In a night, 12 hr, 14K; 16 hr, 19K T decline!
  6. Accumulation mode—happens to be in visible range; also repirable!. Growth rate is proportional to 1/r.
  7. Highest when particle r = wavelength (pi*d)—surface wave, diffraction. Rayleigh=inefficient
  8. Absorbing (right panel) ; Jfk jr; particle size and composition.