Adiabatic Theory predicts slight cooling from Doubled CO2

Adding to the list (1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25...and others) of scientists and mathematicians who have disproven conventional greenhouse gas theory, Russian physicists OG Sorokhtin, GV Chilingar, and LF Khilyuk noted in their book Global warming and global cooling. Evolution of climate on earth. Developments in Earth & Environmental Sciences (Elsevier 2007) that conventional greenhouse theory is not based on sound physical derivation, with most calculations and predictions based on intuitive models using numerous poorly defined parameters and unproven positive feedback forcing from CO2. Most conventional interpretations and models, such as those of the IPCC, consider only one component of heat transfer- radiation- to create a flat earth radiation budget of the atmosphere, ocean, and land masses, and do not adequately address the impact of e.g. convection and circulation on a rotating sphere. In contrast, the Sorokhtin et al adiabatic theory considers earth as an open, dissipative system that can be described by non-linear equations of mathematical physics, taking into account the formation of stable thermodynamic structures in each compartment, between compartments, and ruled by strong negative feedbacks (e.g. convection, water cycles, clouds). They devised a model based on well-established relationships among physical fields describing the mass and heat transfer in the atmosphere and subsequently published the paper Cooling of Atmosphere Due to CO2 in Energy Sources, Part A: Recovery, Utilization, and Environmental Effects (2008), excerpted below.
 
This paper and all of the other derivations of atmospheric physics noted in the list above come to essentially the same conclusion: Doubling of CO2 levels will cause insignificant changes in global temperature (<1°C). This prediction is in much better agreement with the five peer-reviewed empirical satellite studies than any of the IPCC models or predictions from conventional greenhouse gas theory.


Basic formulas describe among others, the heat transfer in the atmosphere by radiation, the atmospheric pressure and air density change with elevation, the effect of the angle of the Earth's precession and the adiabatic process. For the adiabatic process the formula considers the partial pressures and specific heats of the gases forming the atmosphere, an adiabatic constant and corrective coefficients for the heating caused by water condensation in the wet atmosphere and for the absorption of infrared radiation by the atmosphere. The adiabatic constant and the heat coefficients are estimated using actual experimental data. 

This adiabatic model was verified, with a precision of 0.1%, by comparing the results obtained for the temperature distribution in the troposphere of the Earth with the standard model used worldwide for the calibration of the aircraft gauges and which is based on experimental data. The model was additionally verified with a precision of 0.5%–1.0% for elevations up to 40 km, by comparing the results with the measured temperature distribution in the dense troposphere of Venus consisting mainly of CO2.

Introduction

Traditional anthropogenic theory of currently observed global warming states that release of carbon dioxide into atmosphere (partially as a result of utilization of fossil fuels) leads to an increase in atmospheric temperature because the molecules of CO2 (and other greenhouse gases) absorb the infrared radiation from the Earth’s surface. This statement is based on the Arrhenius hypothesis, which was never verified (Arrhenius, 1896).

The proponents of this theory take into consideration only one component of heat transfer in atmosphere, i.e., radiation. Yet, in the dense Earth’s troposphere with the pressure p > 0:2 atm, the heat from the Earth's surface is mostly transferred by convection (Sorokhtin, 2001a). According to our estimates, convection accounts for 67%, water vapor condensation in troposphere accounts for 25%, and radiation accounts for about 8% of the total heat transfer from the Earth’s surface to troposphere. [IPCC models rely almost entirely upon the radiation budget, which according to the authors accounts for only 8% of atmospheric heat transfer-maybe that's why Trenberth et al can't find the "missing" heat- added comments] 

Conclusion

Thus, convection is the dominant process of heat transfer in troposphere, and all the theories of Earth’s atmospheric heating (or cooling) first of all must consider this process of heat (energy) mass redistribution in atmosphere (Sorokhtin, 2001a, 2001b; Khilyuk and Chilingar, 2003, 2004).

Accumulation of large amounts of carbon dioxide in the atmosphere leads to the cooling, and not to warming of climate, as the proponents of traditional anthropogenic global warming theory believe (Aeschbach-Hertig, 2006). This conclusion has a simple physical explanation: when the infrared radiation is absorbed by the molecules of greenhouse gases, its energy is transformed into thermal expansion of air, which causes convective fluxes of air masses restoring the adiabatic distribution of temperature in the troposphere. Our estimates show that release of small amounts of carbon dioxide (several hundreds ppm), which are typical for the scope of anthropogenic emission, does not influence the global temperature of Earth’s atmosphere. 

The Sorokhtin et al model was based on the observation that in the troposphere (the lower and denser layer of the atmosphere, with pressures greater than 0.2 atm) the heat transfer is mostly by convection and the temperature distribution is close to adiabatic. The reasoning for this is that the air masses expand and cool while rising and compress and heat while descending. 

The main conclusions of this work are:

1. Convection accounts for approximately 67% of the total amount of heat transfer from the Earth's surface to the troposphere, the condensation of water vapour for 25% and radiation accounts for only 8%. As the heat transfer in the troposphere occurs mostly by convection, accumulation of CO2 in the troposphere intensifies the convective process of heat and mass transfer, because of the intense absorption of infrared radiation, and leads to subsequent cooling and not warming as commonly believed.

2. The analysis indicates that the average surface temperature of the earth is determined by the solar constant, the precession angle of the planet, the mass (pressure) of the atmosphere, and the specific heat of the atmospheric mixture of gases.

3. If the nitrogen–oxygen atmosphere of the earth would be replaced by a CO2 atmosphere with the same pressure of 1 atm, then the average near-surface temperature would decrease by approximately 2.5 °C and not increase as commonly assumed.

4. The opposite will happen by analogy if the CO2 atmosphere of Venus would be replaced by a nitrogen–oxygen atmosphere at a pressure of 90.9 atm. The average near-surface temperature would increase from 462 °C to 657 °C. This is explained easily by observing how the results of the derived formulas are affected, considering that the molecular weight of CO2 is about 1.5 times greater and its specific heat 1.2 times smaller than those of the earth's air. 

5. If the CO2 concentration in the atmosphere increases from 0.035% to its double value of 0.070%, the atmospheric pressure will increase slightly (by 0.00015 atm). Consequently the temperature at sea level will increase by about 0.01°C and the increase in temperature at an altitude of 10 km will be less than 0.03°C. These amounts are negligible compared to the natural temporal fluctuations of the global temperature.

6. In evaluating the above consequences of the doubling of the CO2, one has to consider the dissolution of CO2 in oceanic water and also that, together with carbon, a part of atmospheric oxygen is also transferred into carbonates. Therefore instead of a slight increase in the atmospheric pressure one should expect a slight decrease with a corresponding insignificant climate cooling.

Related:
NASA's Gavin Schmidt believes the earth is a perpetual heat engine - click on The Greenhouse Hustle
Google Books Excerpts
http://www.physicsforums.com/showthread.php?t=252066
http://www.realclimate.org/wiki/index.php?title=L._F._Khilyuk_and_G._V._Chilingar