I am making one last reply to "khayman80" here, because he's so good at trolling and readers deserve to see the rebuttal.
If radiation enters the boundary and goes right back out, we need to account for it entering and exiting. That's why there are separate terms for "power in" and "power out".
Just no. If radiation goes in and comes right back out, we do not need to account for it, because then the NET amount of that particular radiation crossing your boundary is ZERO. A = A. You do know how to add and subtract, right? You know what a zero is, right?
There is no net "radiative power in" from cooler to hotter. It's against the second law of thermodynamics, and it violates the S-B radiation law: (e * s) * (Ta^4 - Tb^4).
That's exactly the equation Jane should be using to calculate electrical heating power! It has separate terms for "power in" and "power out" so it can describe power entering and exiting a boundary. If Jane would use that equation, he'd honestly be only saying there is no net "radiative power in" from cooler to hotter.
Just no. This is a ridiculous assertion. The equation above is for heat transfer, not radiative power.
I used the proper equation for radiative power, which at steady-state doesn't depend on other bodies. So there is no "difference" term. Just temperature. That's simple physics. You are trying to use a heat transfer equation to calculate power out of a single body at known temperature. That's just plain WRONG.
So Jane refuses to retract his absurd claim [slashdot.org] that view factors vary as the radius ratio, which violates conservation of energy. A cynic might have expected as much, given how Jane flagrantly violates conservation of energy by incoherently ignoring radiative power passing in through a boundary around the heat source.
I made no such claim, you liar. As you well know, the view factor from the surface of the inner sphere to the inner surface of the outer sphere is 1. The calculated view factor from the outer sphere to the inner was 0.9998. BUT, since all the radiation going IN which strikes the hotter body is effectively reflected or scattered, it goes right back out, AND the small amount of radiation from the cooler body that misses the inner sphere ALSO goes right back out, then the EFFECTIVE view factors in this case are both 1.
All the radiation going IN from the cooler body just goes right back OUT again, making the NET radiation crossing your boundary from the cooler body zero. If that were not so, then you'd have net energy being transferred from a cooler body to a hotter one, which is a violation of the second law of thermodynamics. As I've explained to you many times now. You're just plain wrong.
Jane's campaign of educating ignorant, stupid physicists about physics has only just begun. Jane still needs to educate Prof. Brown [slashdot.org] and Lonny Eachus still needs to educate Dr. Joel Shore [rit.edu].
No, I don't need to educate either one. They can both pick up a textbook on heat transfer and see that I am correct. I'm not arguing with them. Our discussion was about THIS experiment of Spencer's. What I did was refute YOUR "solution" to Spencer's challenge. I found the correct answers and checked my work. Funny, but YOUR solutions didn't check out when plugged back in to standard heat transfer equations. I daresay that any eminent physicist can also do the math and see where you were wrong. And I'm going to give them plenty of opportunity to see it. So why not just wait and see?
I did NOT make broad claims in this recent exchange about "greenhouse gas" or any such thing. So I'm not arguing with those other people. I simply showed YOU to be wrong.