Heat Radiation
Thermal radiation is
energy transfer by the emission of electromagnetic waves which carry energy away from the emitting object. For ordinary
temperatures (less than
red hot"), the radiation is in the
infrared region of the
electromagnetic spectrum. The relationship governing the net radiation from hot objects is called the
Stefan-Boltzmann law:
While the typical situation envisioned here is the radiation from a hot object to its cooler surroundings, the Stefan-Boltzmann law is not limited to that case. If the surroundings are at a higher temperature (TC > T) then you will obtain a negative answer, implying net radiative transfer to the object.
So tell me ian...which expression in that equation do you believe addresses net anything?....If you have even the slightest bit of mathematical knowledge, then you know that if a mathematical equation is describing net, then there will be an expression within the equation denoting net...where is it? Or are you just assuming net because that is what you want it to say?
here is a hint...an equation that expresses net would denote two different values for P...and the net would be the difference between the two values. I see no such expression there our even any way to get there with that equation....where do you think it is?
emissivity, Stefan's constant and area are assumed to be equal for both objects, therefore we can bundle them together as (k).
P = k (T^4 - Tc^4)
Which by the distributive law of mathematics equals-
P = kT^4 - kTc^4
Written out, Net power equals the power of the warm object minus the power in the opposite direction by the cool object.
Are you denying mathematics as well? Plug in the numbers, either way gives the same answer.
See that is the problem : "is assumed to be and therefore....."
You over simplified a complex process which is solar heat in - the part reflected and absorbed going down; remainder absorbed by the surface; which then splits the energy it looses into a convection and a radiation path going up into a medium which is n-degrees above 0 Kelvin. And the medium which is n degrees above 0 K, absorbing some of the heat has nothing in common with the surface that was heated by the sun. Specific heat, absorption, emissivity and even the composition of this medium (the air) which can change from one hour to the next is entirely different from the surface and about as far away from black body radiation characteristics as you can get.
And finally lets address your definition of "heating" for the umptieth time,
You insist on calling an object being heated while the temperature of the object is decreasing even though it is transmitting the energy it is
loosing into an above 0 Kelvin medium.
Nobody ever called this "heating" till the tree whisperer and the IPCC came along and created the fertilizer that left threaded wing nuts use to grow their new-speek vocabulary mumbo jumbo
They redefined "heating" much the same as what their definition of "new jobs" is in the wake of the staggering job losses while they printed ever more food stamps and paper money backed by fictional collateral
This reverse heating of hot with cold is nothing more than the twisting of the meaning of words be they written in constitutional law or physics laws.
Your usage of the StB equation expresses
how much energy flows from hot to cold no matter how you try to phrase it and if your thinking were as correct as you keep saying then you should rearrange the StB equation accordingly and put Tc in front of the minus and the other (higher)T behind it.
After all
you are the one who insists that Tc is heating the other, the hotter component in that equation.
But you won't because you know full well that you would have invented an energy state that does not exist namely something that has a below zero energy state,
In any equation you are allowed to vary a variable at will within the realm of the possible; so you are entirely free to vary T1 to less than T2 and plug these variables into the StB.
So why don't you?
Is it because Herr Boltzmann said somewhere that you are not allowed to vary the first T variable to a value below the second variable?
If he did I would like to see that stipulation !
Or is it because you do in fact realize how absurd the outcome is if you were to do that?
You would not be in this predicament if you would not call something "heating" which is in fact a cooling process just as the StB equation is expressing it in mathematical form.
In no way does the StB equation that you keep quoting express HEATING.
It shows the rate of cooling in relation to temperature just as Herr Boltzmann intended !
Does it not occur to you that if he intended to express heating instead of cooling he would have had to specify the absorptivity instead of the emissivity