Bryan, you have simply posted this twice. I replied to it above.
I’ll try to explain my position a bit more precisely in the specific context of the dry adiabat and no convection. The position I am describing isn’t really mine; it is the position of anyone using line by line calculators like MODTRAN. Dr Curry uses such tools as well and has been pretty definite on their validity; and on the scientific vacuity of the issues we are addressing here.
You asked me how our “slab” model worked in a neutral atmosphere with the lapse rate at the dry adiabat, and I answered that. But there are some important implications I still want to emphasize.
If you fix the atmospheric profile at a dry adiabat, there is nothing to drive convection. A dry atmosphere also doesn’t have any energy flow by evaporation and condensation.
There is still radiant energy flow, and I explained how to calculate it. MODTRAN calculations, or other similar programs, do this by considering many small spectrum bands, since gases have very different characteristics at different wavelengths, and they repeat calculations at many successive altitudes (layers).
But you can appreciate the general result by recognizing some general principles.
(1) The atmosphere, and the surface, are radiating in the IR.
(2) In bands where there is little interaction with the atmosphere, most of the radiation simply passes out to space from the surface, and similarly the atmosphere radiates very little in those bands.
(3) In bands where there is interaction, the atmosphere absorbs radiation coming from below, and above;
(4) The amount of IR radiation coming to Earth from outside the atmosphere is negligible
(5) At any level of the atmosphere where the adiabat applies (the troposphere, essentially), there is more radiation coming from below than from above, as the lower levels are warmer. Since radiation varies as the fourth power of temperature, the effective net temperature all incoming IR is going to be less than effective temperature of the layer where it is measured.
(6) The effect of radiation, therefore, is to cool the atmosphere.
The situation is therefore not technically stable. It takes quite a long time for the atmosphere to cool down by thermal emissions; but cool down it does. This is a necessary consequence of basic thermodynamics.
End result is that in the absence of any convection, the temperature profile will be relaxing towards the radiative equilibrium, which is a steeper lapse rate than the dry adiabat. The atmosphere is still considered stable, as there’s nothing driving convection and the air is still. But it is not in equilibrium; it is slowly cooling down, and if somehow left to cool for an extended period of several weeks, the departure from the dry adiabat would be substantial. Of course, long before you get significant departure, you get convection working to relax back to the dry adiabatic lapse rate.
So. We certainly CAN apply the usual models to an atmosphere with a lapse rate given by the dry adiabat. The atmosphere in that condition is stable against convection; but there is a net energy loss by radiation from the atmosphere, which is slowly relaxing towards unstable profiles
A more realistic model would use the normal environmental lapse rate, which tends to be closer to the moist adiabat; but just a bit steeper. That is, the normal state of the atmosphere is very slightly over the edge towards being unstable to convection; and convection is a normal part of how our atmosphere works, with a very substantial net flow of energy upwards as a result.
The question for YOU is as follows.
Convection, and energy moved by latent heat of evaporation and condensation, all carry energy up into the atmosphere. Where does that energy end up? How does the atmosphere get rid of the energy it is gaining from convection?
On the other points people have raised. There is no “double counting” in the models we use. Many applications, like aviation for example, don’t really care about accounting for all energy flows; they mostly just need to know about convection and air flows. The complete picture however, is well established physics and taught without quibble or reservation in more fundamental atmospheric physics course.
Bryan, the link you give is to a very detailed and sensible consideration of atmospheric physics, but in the stratosphere, where the radiative equilibrium is the basis for the lapse rate; not the adiabat. Your link discusses greenhouse gases without any particular concern.
I am 110% confident that if you were to contact the author directly and ask about the greenhouse effect, they would confirm that it is real, and that the stable condition in the lower atmosphere — the troposphere — is a radiative/convective equilibirum, with convection and latent heat replacing the energy lost by radiation from greenhouse gases. The corresponding lapse rate is very close to adiabatic, because relaxation times for convection are so much faster than relaxation times for radiation.