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Originally posted by audas
is claiming the earth is receiving heat from the sun on a flat plane
This means that as the earth receives heat from the sun and radiates heat back out to space, eventually the earth will reach a temperature at which it is at equilibrium. And this average temperature that the earth will reach entirely depends on the energy it is receiving from the sun and the energy it is radiating into space.
Yes, there are equations for this. For a black body with a heat transfer per unit time (q), a temperature (T) in degrees Kelvin and a surface area (A), the black body radiation will be the following, assuming that space is at absolute zero (which is not entirely true, but it’s close enough for our purposes):
q = σT4A
Where σ is the Stefan-Boltzmann Constant. Which is equal to: 5.6703x10-8 (W/m2K4)
The sun’s radiation reaches the earth providing energy at the experimentally tested and proven value of 1366 W/m2. The earth, in total, will receive an amount of heat from the sun equal to 1366 W/m2 times its cross-sectional area. It will emit radiation evenly across its entire surface. Assuming the earth to be a sphere (for the sake of simplicity), that means that the equation for the earth’s theoretical temperature is:
πr2 * 1366 W/m2 = σT44πr2
Where r = the radius of the earth, πr2 is the cross sectional area of the earth and 4πr2 is the surface area.
To determine the theoretical temperature of the earth, the two πr2 bits cancel each other out. Then we juggle the numbers around to:
T = ((1366 W/m2)/4σ)(1/4)
Which leads to an average worldwide temperature of about 278 K (5 C or 41 F); which is pretty darned close to the observed average surface temperature of 287 K (14 C or 57 F).
No idea if the math is correct, but it's a good effort. More importantly I think it should make anyone wonder why this approach hasn't been tried and/or talked about publicly more by scientists.