gizmo_2655 wrote on Aug 6
th, 2010 at 9:53pm:
It's been a while, but as I recall it means that a 'black body' will radiate infrared radiation when cold.. and as it warms, emits other wavelengths and appears to change colour...
Pretty close. Do you remember the The Stefan–Boltzmann law, which states that the total energy radiated per unit surface area of a black body per unit time (black-body irradiance) J, is directly proportional to the fourth power of the black body's absolute temperature T:
J = σ T^4.
Where σ (sigma) is the Stefan–Boltzmann constant and is equal to 5.67E-08 J s^-1 m^-2 K^-4
We can use this theory as a first approximation even though neither the Sun nor the Earth are black bodies.
By using that equation, Stefan was able to calculate the temperature of the Sun with a reasonable degree of accuracy. He arrived at a temperature of about 5700 K, compared to today's estimate of the temperature of the Solar surface is about 5780 K.
Apart from that, we can predict the wavelength of light emitted by the Sun and the Earth from their respective temperatures.
Now the energy of black body radiation varies with temperature and wavelength. As the temperature of the black body increases, two distinct behaviours are observed. One effect is that the peak of the distribution shifts to shorter wavelengths. This is known as Wien's displacement law. There are various forms of this, and it's a derivative of Planck's Law of Black Body radiation.
λmax = 2.897E-03 /T
Where λmax is the peak wavelength in meters or the wavelength at which we get maximum spectral emissive power. T is the temperature in Kelvins.
Here's a more mathematical description:
http://planetphysics.org/encyclopedia/WienDisplacementLaw.htmlI should probably speak about Planck's law of blackbody radiation too.
Here's a reference:
http://astronomyonline.org/Science/PlancksLaw.aspIf I need to explain the relationship between energy and wavelength any further, just let me know.
On the diagram, you can see where terrestrial radiation sits in relation to solar radiation and all the rest. So in terms of the Greenhouse effect, this is where all the action is.
We're talking about roughly 15% of the incident solar energy being re-radiated in the form of long wave infrared radiation. It's what happens to that long wave radiation coming from the earth that largely determines the change in Energy Balance for the Earth.
How are we going so far?