vanesch
Staff Emeritus
Science Advisor
Gold Member
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Bystander said:N If you wish to equilibrate two black bodies originally at the same, higher temperature than CMB with intergalactic space, the rate of cooling can be reduced by whatever fraction of 4 pi steradians each subtends of the other's exposure to the CMB background temperature bath.
Yes, I guess that was what Andrew was after.
You keep taking the first step of the random walk Gamow treats in very simplified fashion for energy transport from the center of the sun to the solar surface; take the rest of the trip --- a "photon" (or the equivalent energy) proceeds by "the drunkard's walk" from the center of the sun to its surface in a time of the order of thousands of years, and you may conclude that infrared proceeds from Earth's surface to space by the same "drunkard's walk," and if you do the calculation you'll find an order of magnitude for "residence time" for this "excess greenhouse energy."
Indeed. That's the "radiation resistance" you have there: the radiative transfer, layer by layer, of heat energy in the form of photons, converted into molecular motion/excitation/..., and again into photons etc...
The point I tried to make was that having solely radiative heat transport will require a higher source surface temperature, than if you add convection next to the radiative transfer, because convection will transport part of the heat (and hence diminish the required heat flux by radiative transport). This comes down to saying that convection is an extra heat transport mechanism which will give rise to a lower rise in surface temperature as compared to when there would be no convection. However, I admit not having any idea by how much, but I'm pretty sure about the *sign* of the contribution (namely, negative).