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An improved energy balance model: Atmosphere and Greenhouse gases

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Model one: Glass layer effects on the earth temperature; ... Different layers of the atmosphere. Lets have a closer look in infrared region. ... – PowerPoint PPT presentation

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Title: An improved energy balance model: Atmosphere and Greenhouse gases


1
An improved energy balance model Atmosphere and
Greenhouse gases
  • Absorption by atmosphere
  • Greenhouse gases

2
Summary Earth Energy Balance Equation
  • Pin Pout
  • Pin (1-A) S p REarth2, Pout 4p REarth2 s
    TEarth4
  • Tearth 255K
  • Q0
  • The solar constant is 1kW/m2 and the radius of
    the earth is 6400km, the incoming radiation power
    absorbed by the earth is approximately
  • 1000 kW
  • 1,000,000 kW
  • 3) 1,000,000,000 kW
  • 4) 1014 kW.

3
Earth Energy Budget Sheet
4
Atmospheric Absorption
1 0
  • From http//www.everythingweather.com/atmospheric
    -radiation/absorption.shtml

5
Atmospheric Absorption
  • From http//www.everythingweather.com/atmospheric
    -radiation/absorption.shtml

6
Green house effect
  • Model one Glass layer effects on the earth
    temperature
  • 2) An atmospheric model with Green house effect
  • (with Green house gases).

7
Earth Energy Balance
  • We will again make a very simple model but one
    which includes atmosphere

8
Now the energy balance for the surface of the
Earth is
  • Pin (1-A) S p REarth2 s Te4 4p REarth2
  • Pout s Ts4 4p REarth2

9
Now the energy balance for the surface of the
Earth is
  • (1-A) S p REarth2 s Te4 4 p REarth2
  • s Ts4 4p REarth2
  • Ts4 (1-A) S / 4s Te4 2 Te4
  • (Assuming Te 255 K )

10
Q1
  • Using the improved climate model, I find that
  • the surface temperature of the earth is
  • 0C
  • 15 C
  • 30C
  • 4) 60 C

11
You should get Ts Te v2 303 K 30 ºC
  • Not really too hot!
  • Issues
  • Is atmosphere a thin layer?
  • Is it totally absorbing in infrared?

12
Different layers of the atmosphere
13
Lets have a closer look in infrared region.
We see plenty of holes.
14
Earth Energy Balance
  • The more complex models involving multilayer
    atmosphere partially transparent in infrared come
    up with better estimates of temperatures of the
    surface of the Earth about 15 ºC
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