SSDD
Gold Member
- Nov 6, 2012
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Continuing to look at Roy's line of thinking...He followed his quaint little failed experiment with with what he calls a time dependent model of the atmospheric greenhouse effect. He attaches an excel spread sheet. Someone far better at math than me took the time to examine his work and damned if it isn't interesting.
His relevant equation is:
B12 = B11 + ($C$2-C11+$C$5*0.0000000567*E11*E11*E11*E11)*$C$3/$C$4
In a form that looks like real math, the equation reads:
TSurf(i+1) = TSurf(i) + (FSun – FSurf(i) + ασTAtmo(i)4)*dT/Cp
and that can be simplified just a bit by making the atmospheric flux FAtmo = ασTAtmo(i)4 which is then:
TSurf(i+1) = TSurf(i) + (FSun – FSurf(i) + FAtmo(i))*dT/Cp
He is adding the atmospheric flux directly into the equation as heat..or whatever other weasel word you care to use to describe it. That is, in fact, a violation of the laws of thermodynamics....ALL OF THEM.
Aside from that, even if the equation described an actual physical occurrence, he still fails....If the input of heat from the sun is described as the difference in flux between the solar input and the surface output { FSun – FSurf(i) } why then would not heat input from the atmosphere be described as the difference between the atmospheric flux and the surface flux { FAtmo(i) – FSurf(i) } rather than being added straight in without regard to the temperature of the surface?
If you modify his excel spread sheet to add the "imaginary" heat back in in the more appropriate way as is the case with incoming energy from the sun and the resulting surface output you get:
TSurf(i+1) = TSurf(i) + [(FSun – FSurf(i)) + (FAtmo(i) – FSurf(i))]*dT/Cp
= TSurf(i) + [FSun + FAtmo(i) – 2*FSurf(i)]*dT/Cp
The final surface temperature is -47C....if you are asking yourself why the resulting temperature is so cold...the answer is because none of it makes any sense at all. It is a failed mathematical model...which requires all sorts of fudge to make it work. Such is the nature of climate pseudoscience.
His relevant equation is:
B12 = B11 + ($C$2-C11+$C$5*0.0000000567*E11*E11*E11*E11)*$C$3/$C$4
In a form that looks like real math, the equation reads:
TSurf(i+1) = TSurf(i) + (FSun – FSurf(i) + ασTAtmo(i)4)*dT/Cp
and that can be simplified just a bit by making the atmospheric flux FAtmo = ασTAtmo(i)4 which is then:
TSurf(i+1) = TSurf(i) + (FSun – FSurf(i) + FAtmo(i))*dT/Cp
He is adding the atmospheric flux directly into the equation as heat..or whatever other weasel word you care to use to describe it. That is, in fact, a violation of the laws of thermodynamics....ALL OF THEM.
Aside from that, even if the equation described an actual physical occurrence, he still fails....If the input of heat from the sun is described as the difference in flux between the solar input and the surface output { FSun – FSurf(i) } why then would not heat input from the atmosphere be described as the difference between the atmospheric flux and the surface flux { FAtmo(i) – FSurf(i) } rather than being added straight in without regard to the temperature of the surface?
If you modify his excel spread sheet to add the "imaginary" heat back in in the more appropriate way as is the case with incoming energy from the sun and the resulting surface output you get:
TSurf(i+1) = TSurf(i) + [(FSun – FSurf(i)) + (FAtmo(i) – FSurf(i))]*dT/Cp
= TSurf(i) + [FSun + FAtmo(i) – 2*FSurf(i)]*dT/Cp
The final surface temperature is -47C....if you are asking yourself why the resulting temperature is so cold...the answer is because none of it makes any sense at all. It is a failed mathematical model...which requires all sorts of fudge to make it work. Such is the nature of climate pseudoscience.