The authors utilize a one-dimensional adiabatic model of climate to demonstrate that the entire tropospheric temperature profile of the atmosphere on both Earth and Venus may be mathematically derived solely on the basis of atmospheric pressure/mass and solar activity, confirmed by observations on both planets, despite vast differences in atmospheric composition and mass/pressure on Earth and Venus. The paper corroborates the 33C Maxwell/Clausius/Carnot greenhouse theory and thereby excludes the alternative 33C Arrhenius radiative greenhouse theory.
"The writers investigated the greenhouse effect using their adiabatic model, which relates the global temperature of troposphere to the atmospheric pressure and solar radiation. This model allows one to analyze the global temperature changes due to variations in mass and chemical composition of the atmosphere. Even significant releases of anthropogenic carbon dioxide and methane into the atmosphere do not change average parameters of the Earth’s heat regime and have no essential effect on the Earth’s climate warming. Moreover, based on the adiabatic model of heat transfer, the writers showed that additional releases of CO2 and CH4 lead to cooling (and not to warming as the proponents of the conventional theory of global warming state) of the Earth’s atmosphere. The additional methane releases possess a double cooling effect: First, they intensify convection in the lower layers of troposphere; Second, the methane together with associated water vapor intercept part of the infrared solar irradiation reaching the Earth. Thus, petroleum production and other anthropogenic activities resulting in accumulation of additional amounts of methane and carbon dioxide in the atmosphere have practically no effect on the Earth’s climate."
Physically, an explanation of the cooling effect of the atmosphere with the high content of “greenhouse gases” is the high efficiency of the convective heat transfer from the planet’s surface to the lower stratosphere, from which this heat is rapidly dissipating into the outer space through radiation. As the greenhouse gases absorb the Earth’s heat radiation in the lower layers of troposphere, its energy transforms into the heat oscillations of the gas molecules. This, in turn, leads to expansion of the gas mixture and its rapid ascent to the stratosphere where the heat excess is lost through radiation into the outer space.
To replace these volumes of the warm air, the already cooled air descends from the upper troposphere. As a result, the global average atmospheric temperature slightly decreases. One particular consequence of it is that with an increase in the carbon dioxide and methane contents in troposphere the convective mass exchange of the atmospheric gases must substantially accelerate. Thus, it is not out of the question that the intensification of synoptic processes in Earth troposphere (but not temperature increase) may be a result of the carbon dioxide and other “greenhouse gases” accumulation."The primary equation of the paper  is similar to the 'greenhouse equation' described in a recent series of posts on the 33C Maxwell/Clausius/Carnot greenhouse theory.
|The "Greenhouse Equation" calculates temperature (T) at any location from the surface to the top of the troposphere as a function of atmospheric mass/gravity/pressure and radiative forcing from the Sun only, and without any radiative forcing from greenhouse gases. Note the pressure (P) divided by 2 in the greenhouse equation is the pressure at the center of mass of the atmosphere (after density correction), where the temperature and height are equal to the equilibrium temperature with the Sun and ERL respectively.|
The primary differences between Chilingar et al equation  and the 'greenhouse equation' are:
1. Chilingar et al introduce a correction for solar insolation based on the Earth's precession angle of 23.44 degrees
2. Chilingar et al assume an Earth surface temperature of 288K or 15C, whereas the HS 'greenhouse equation' only assumes the equilibrium temperature of the Earth with the Sun (255K or -18C) & atmospheric mass/pressure to derive the surface temperature, as well as that of the entire troposphere, replicating the 1976 US Standard Atmosphere.
An upcoming post will join the mathematics of these two equations to explain the entire temperature profile of the atmosphere from the surface to the edge of space at 100+ km geopotential altitude, without incorporating 'radiative forcing' from CO2.