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> Final Statement On Ghg's And Gw, Irrefutable.
AEBanner
Posted: Jan 18 2008, 05:42 PM


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In my previous post, I tried to show that more carbon dioxide added to the Earth’s atmosphere would have no heating effect as in the Enhanced Greenhouse Gas Effect we hear so much about. Perhaps my message got lost in the maths in the post, so I should like to add a few words in further explanation.

I do not believe in the Enhanced GHG effect. I do not think that extra carbon dioxide will have any effect on the Earth’s temperature.

I do believe, however, that some other effect, not yet identified, could be causing global warming.

Firstly, I should like to refer Spencer Weart’s article on the Real Climate site entitled “A Saturated Gassy Argument”, SGA.
http://www.realclimate.org/index.php/archi...ument/#more-455

This work implicitly seems to accept that carbon dioxide and water vapour can absorb 100% of the infrared radiation from the surface of the Earth. Most of this energy is radiated back to the surface. See Kiehl and Trenberth
http://www.cgd.ucar.edu/cas/abstracts/files/kevin1997_1.html
This is the natural GHG effect, and occurs at relatively low altitudes. No argument. For the purpose of easy discussion, let us consider the atmosphere to consist of three regions, lower and upper troposphere, and high altitude as in SGA.

The infrared which is not radiated back to the surface heats the troposphere by increasing the kinetic energy of the molecules by inter-molecular collisions.

Heat energy also leaves the surface as sensible heat, convection and latent heat, which rises to the upper troposphere where it too provides warming. Kiehl and Trenberth show that sufficient energy is provided to this region by these means for the necessary 165 Wm^-2 to escape to space in order to enable energy balance for the Earth’s system. ( Together with 30 Wm^-2 from the clouds and 40 Wm^-2 through the “window”. ) I suggest that the available energy is converted into the necessary photon form by inter-molecular collisions with CO2 in the upper troposphere and at high altitudes.

Some of the photons about to escape into space at high altitudes will be absorbed by CO2 molecules even at this height, as stated in the SGA, but it is at this point that my ideas diverge from the SGA.

The excited CO2 molecules will decay again to a lower rotational level, either spontaneously or by collision, so emitting photons. Some of these emitted photons will escape to space as required, and some will return to the atmosphere, but the temperature will be adjusted by the overall feedback system so that energy balance will be maintained.

It is important to understand that only a small proportion of the total atmospheric CO2 is involved in this process. The relevant actions are occurring at high altitudes “where the air is very thin”, after all, not throughout the whole atmosphere. This proportion is dependent on the temperature of that region. The number of CO2 molecules involved will be set at this temperature to provide the required number of outgoing photons to get energy balance.

If now, more CO2 is added, more photons will join in the process and escape to space, so tending to reduce the temperature, and upsetting the balance. Correction is provided by the emitting region moving to still higher altitudes, ( in line with the SGA ), where the temperature is lower, and so the emission rate is reduced, as required.

Note that the number of CO2 molecules involved must be constant, so that when more CO2 is added, the proportion involved is reduced accordingly. This is shown mathematically by the equation kb = b1 in my previous post.

I suggest that final escape to space occurs at higher and colder altitudes because the proportion of CO2 molecules participating must be less, not greater, when more CO2 is added, in order for equilibrium. The total number of CO2 molecules participating has to stay constant.

The problem with the SGA is that it stops too soon for the flaw to be seen. The crux of the SGA is where it refers to extra CO2 molecules absorbing photons at high altitudes. It neglects to say anything about the next, inevitable process, which is the following decay, with the “centralised energy packet” within the excited molecule distributing its energy into the various states available to it, in line with the Second Law of Thermodynamics. Must not forget that!

So, no extra global warming from added CO2.
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Neil Farbstein
Posted: Jan 18 2008, 11:41 PM


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QUOTE (AEBanner @ Jan 15 2008, 11:25 PM)
I have recently been having a problem with accepting Real Climate’s “Saturated Gassy Argument”, which tries to explain the Enhanced GHG effect. As far as I can see, it is incomplete and so it is also misleading.

Please consider the following.

Let C = total number of carbon dioxide molecules in the pre-industrial atmosphere at 280ppmv
k = the increase factor in CO2 concentration relative to pre-industrial conc. of 280ppmv.
s = proportion of emitted photons escaping to space
win = total number of photons escaping to space through the “window” per unit time

For CO2 increase factor k, let
b = proportion of carbon dioxide molecules excited by absorption of photons, and
intermolecular collisions

Then, number of CO2 molecules excited by absorption/collision = kbC

All these molecules emit photons.

Let the following expressions apply for unit time, where p is the appropriate constant of proportionality.

Then in general, we have:
Number of photons escaping to space = pskbC + win ………………….. (Eqn 1)

Now consider the case of the pre-industrial atmosphere.
We can put k = 1 and b = b1.
Then, number of photons escaping to space = psb1.C + win …….....(Eqn 2)

Now in energy balance conditions, the number of photons escaping to space must be constant.
Therefore, from Eqn (1) and Eqn (2), we have pskbC + win = psb1.C + win
Hence, kb = b1

But b1 is a constant.

So as k increases, b must decrease for this relationship to be satisfied and energy balance to be maintained. That is, as the amount of carbon dioxide is increased, the proportion of the number of CO2 molecules participating in the process is reduced. This requirement can be accommodated by a fall in temperature from the pre-industrial value at high altitudes.

This means that increased CO2 produces extra COOLING at high altitudes.


What happens in the atmosphere?

In general,
Number of photons returning to the atmosphere = p(1 – s )kbC ……....… (Eqn 3)


And for the case of the pre-industrial atmosphere, k = 1 and b = b1, as before.
So, the number of photons returning to the pre-industrial atmosphere = p(1 – s )b1.C …..(Eqn 4)

Therefore, the change in photons returning to the atmosphere = p(1 – s )kbC – p(1 – s )b1.C
= p(1 – s )C(kb – b1)

But, in energy equilibrium, kb = b1.

Therefore, the change in the number of photons returning to the atmosphere = 0

This means that there is no change in the temperature of the atmosphere due to increasing the amount of CO2 present.

That is, there is no enhanced GHG effect.

what accounts for their escape from the earth's atmosphere?


--------------------
Life is a tale told by an idiot full of sound and fury; signifying nothing...Tomorrow and tomorrow and tomorrow, but tomorrow never comes. -William Shakespeare.
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AEBanner
Posted: Jan 18 2008, 11:47 PM


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To Neil Farbstein

Please refer to my other post above.

AEB
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Corvidae
Posted: Jan 22 2008, 03:20 PM


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QUOTE
Note that the number of CO2 molecules involved must be constant, so that when more CO2 is added, the proportion involved is reduced accordingly. This is shown mathematically by the equation kb = b1 in my previous post.


Still assuming constants that don't exist I see.
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AEBanner
Posted: Jan 22 2008, 05:29 PM


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To Corvidae

Please read my posts again, but give your full attention next time.

Or perhaps you don't believe in Mathematics?

AEB
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