SSDD
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- Nov 6, 2012
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This time it is Dr Pierre R Latour phD chemical engineering (let the character assassination begin). Rather than simply assuming that because CO2 is called a greenhouse gas that it must cause warming, like a true scientist he goes back to the basics to actually see whether CO2 causes warming.
Contrary to warmist dogma, adding a radiative gas to an atmosphere does not reduce it's ability to radiatively cool itself. Dr Latour mathematically replaces non radiative O2 in the atmosphere for CO2 and finds that the emissivity of the planet increases....
I have always contended that the climate sensitivity to CO2 was zero...seems that the math says that the climate sensitivity to CO2 is less than zero. When you warmist cultists get through with the character assassination, perhaps you might point out any errors that he has made.
Contrary to warmist dogma, adding a radiative gas to an atmosphere does not reduce it's ability to radiatively cool itself. Dr Latour mathematically replaces non radiative O2 in the atmosphere for CO2 and finds that the emissivity of the planet increases....
Dr. Latour said:I = σ e (T/100)4
If e increases with CO2 at constant I, T goes down. Therefore CO2 causes global cooling.
I = intensity of any radiating body, w/m2, of its spherical surface, measured by Earth satellite spectrophotometers to be about 239.
T = temperature of radiating body, K
σ = Stefan-Boltzmann radiation law constant, 5.67
e = emissivity of radiating body, fraction 0 < e < 1. Perfect radiator black body e = 1, radiates a given intensity at lowest possible temperature. Colorful Earth radiator e = 0.612 emits given intensity at temperature higher than black body.
I = (1 – albedo)S/4, conservation of energy, in = out, neglecting photosynthesis, volcanoes.
S = solar radiation intensity, 1365 to 1370 w/m2 incident disk or 1365/4 to 1370/4 w/m2 of incident sphere.
Albedo = reflectivity, fraction, mostly by clouds, estimate 0.7.
Substituting: I = (1 – alb) S/4 = σ e (T/100)4
Dividing by σ e: (T/100)4 = (1 – alb) S/4 σ e = I/σ e
If S increases, T increases. If alb or e increase, T decreases.
If Earth were a perfect black body emitter,
(1 – 0.3) 1366/4*5.67*1.000 = 42.16 = 2.5484 or T = 254.8K = -18.33C
Actually GHGT promoters say it is a colorful 0.612 emitter,
(1 – 0.3) 1366/4*5.67*0.612 = 68.890 = 2.8814 or T = 288.1K = 14.95C
The difference 14.95 – (-18.33) = +33.3C is the difference between colorful Earth’s radiating temperature and its theoretical black body equivalent when radiating at same intensity, 239.
J Hanson, Al Gore and EPA mistakenly declared this 33C to be the greenhouse gas effect.
Double radiating atmospheric CO2 concentration and emissivity to space increases a small amount, say 0.001 to 0.613.
(1 – 0.3) 1366/4*5.67*0.613 = 68.777 = 2.8804 or T = 288.0K = 14.83C.
So global sensitivity is 14.83 – 14.95 = -0.12C, global cooling. Controversy resolved by elementary algebra; no need for $1 billion/day research to prove the impossible, global warming. If you disagree with Stefan-Boltzmann radiation law of physics, used successfully since 1884, take it up with them, not me.
Latest estimate of emissivities fits observation of radiation intensity to space from globe and surface.
Three S-B equations, plus energy conservation equation, Is + Ia = Ig, plus emissivity combo assumption eg = (es*Is + ea*Ia)/(Is + Ia) is five equations with 9 unknowns. Specify four unknowns from measurement; Ts, Ta, Ig, Is, and solve for remaining five unknowns: Ia, es, ea, eg, Tg.
To estimate CS, must estimate the effect of doubling [CO2] on ea and Is. Then resolve for Ia, eg, Ts, Ta, Tg.
For example, assume [CO2} from 400 to 800 ppm, ea from 0.82811 to 0.82911 and Is from 40 to 39.9. Result is:
CO2 400 ppm Intensity Emissivity S-B Temperature
Surface 40 0.10233 15.000
Atmosphere 199 0.82811 -18.000
Globe 239 0.70664 4.760
CO2 800 ppm
Surface 39.9 0.10233 14.820
Atmosphere 199.1 0.82911 -18.045
Globe 239 0.70778 4.648
Change
Surface -0.1 -0- -0.180
Atmosphere 0.1 0.001 -0.045
Globe -0- 0.0012 -0.112
CO2 increases emissivities, 0.828 and 0.707, slightly. Surface intensity, 40, drops as atmosphere absorptivity increases and atmosphere intensity, 199, increases by that amount. Total intensity, 239, is fixed by energy balance. So radiating temperature of surface 15.0C drops, global 4.6C drops and atmosphere -18.0C drops. My assumptions give CS = -0.112C.
The difficult part to quantify this is to estimate the effect of CO2 on atmospheric emissivity and absorptivity. In any case the effect is cooling, CS < 0. This is one of the ways radiating gases like CO2 affects global cooling. Global warming by CO2 induced radiant energy transfer does not exist, even if you call it a greenhouse gas.
Since heat capacity, Cp, of CO2 is greater than the heat capacity of the O2 it displaced by the oxidation reaction, increasing CO2 increases heat capacity of the atmosphere. This rotates the temperature vs altitude profile counterclockwise about its centroid, at about 5 km and -18C, since its slope for any planet is –g/Cp, easily derived from conservation of energy, SLoT, as kinetic energy is converted to potential energy with altitude, cooling. While bulk average global atmospheric temperature is unaffected, lower altitude air warms and upper altitude cools. Surface would warm accordingly.
There are several mechanisms for CO2 to affect temperatures; I have identified two warming and four cooling. My best guess net is -0.5C < CS < 0.3C. No wonder data regression can’t find it.
I have always contended that the climate sensitivity to CO2 was zero...seems that the math says that the climate sensitivity to CO2 is less than zero. When you warmist cultists get through with the character assassination, perhaps you might point out any errors that he has made.