Thanks JCH. It is easier for you I think as you have done more work on it but it is a very complicated scenario when one tries to get into it.
Surface emits 169 to space
atmospheric window – a. 40 to space is from the surface
[some infrared radiation from the cloud tops and land-sea surface pass directly to space without intermediate absorption and re-emission. A large gap in the absorption spectrum of water vapor, the main greenhouse gas, is most important in the dynamics of the window. Other gases, especially carbon dioxide and ozone, partly block transmission.]
*b. clouds emit 30 to space the picture shows 30 from clouds, 40 from the surface overall window of 70.
to add to 239
Sun delivers 341 not absorbed – 102 sw delivered for absorption – 239
I think: SW – 78, LW – 97 – Not sure how you get this figure, The sun is very bright and I would have thought would be more shortwave though cold tongue edges of the sun plasma might go out far enough to emit some long wave if it cooled sufficiently. SW might reflect more than LW so may be the major part of reflected light.
The 78 [SW/LW] absorbed by the atmosphere at varying levels does some reheating on its way back out, Makes the atmosphere hotter but technically never reaches the land or ocean.
LW – 97 This seems to be the figure for thermals 17 and latent heat 80. I agree this would be emitted as LW but it would seem that these are energy packets that are transported high up before they emit and hence probably do not contribute much to rewarming. I do not know how you would account for them in terms of the energy going back to the ocean or land. My gut feeling is if they are emitting high enough they should not be counted as reheating the surface although they obviously do lead to reheating of the air locally on the way out and raise the overall temp which probably leads to more uptake and release of energy by CO2 lower down.
Techniucally not part of the 333 back radiation effect though as said contribute to making it happen.
absorbed – 175 [Should be 161 absorbed at surface]
LW to space – (30) [[This is LW clouds emit 30 to space see above]
and atmospheric window – a. 40 to space is from the surface
back to surface – 145 [should be 91 if amended figures OK]
lw absorbed 333/145 = 2.3 times [? 333/91 = 3.7]
Will stop here as I do not think the model is trying to show an energy imbalance at all, just trying to balance input and output as no CO2 increase is postulated.
Thank you for the figures and trying to work it out as well, I am still struggling with it.
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