Yah know SSDD, you may be an arrogant prick but I do appreciate that you make me think.
Not nearly as arrogant as you...as evidenced by this post.
Your insistence that the single term S-B equation must be imbedded in a perfect vacuum made me think a little deeper, which always brings along further insights.
Not my insistence...simply the way it is.
I knew that the single term S-B equation was simple, and that the two term S-B equation was horribly complex but I didn't quite understand the simple reason why that is so.
Both terms are incredibly simple... One describes a radiator in a vacuum radiating according to its temperature...the other describes a radiator not in a vacuum radiating according to the difference between its own temperature and that of its surroundings.....
The single term S-B equation is a two dimensional object. It is not imbedded in three dimensions.
Do S&B know about this breakthrough? The certainly don't mention it anywhere in their writings...and according to you, the radiator is radiating in all directions...not possible for a two dimensional object.
The two term S-B equation is a comparison of 2 two dimensional objects in a three dimensional volume. With all the extra complications of distance, angles and outside interference.
You jut get goofier and goofier all the time. The level of your arrogance is astounding...rather than just admit that you were wrong about the first equation representing a black body in a vacuum, you have now invented a great mound of bullshit that will undoubtedly become law in your mind.
I reject your insistence of adding a third dimension to a defined two dimensional object. The number produced by the single term S-B equation holds true at all times and is inserted whole into the two term S-B equation.
I really don't care what you reject...your rejection doesn't alter the fact that I am right and you are wrong.
The version of the two term S-B equation that you post up is ultra simplified to emphasis the basic principle. Any real calculation would have to take distance and angles into account. Most importantly, the reason why each object would have to be calculated separately is because they would, in most cases, have different emissivity coefficients.
And yet, that second equation is sufficient for any physicist on earth...only you require something else because since you already know everything, you find that you must invent new stuff to know..
Again, thank you for prodding me into thinking more deeply into the topic.
Clearly, thinking isn't your best thing...all you managed to do was further cloud the issue in your mind. Rather than simply accept the simple truth, you invent an even more elaborate fiction. I took a few minutes yesterday and wrote a note to a few top shelf scientists scattered across the globe. I admit that I played your part (the part of the simpleton who doesn't understand such a basic concept) rather than get them involved, by default, into this stupid discussion.
The text of my note went as follows:
Greetings Dr. XXXX
I am terribly sorry to bother you with such a basic question, but I am curious, but unable to find a satisfactory answer on the internet and would like an answer from a scientist of some stature if possible regarding the Stefan-Boltzman law. Does the following equation describe a perfect black body radiating into a vacuum, or just any radiator radiating anywhere?
I was under the impression that if the radiator was not in a vacuum (in the presence of any other matter) that the following form of the Stefan Boltzman law must be applied.
Again, sorry to bother you with such a basic question, but I really would appreciate a short answer if possible.
Thank You,
xxxxxxxxx
I got a couple of responses over night and will post more when and if they come.
The first was from Dr Adrian Melott. His was the first note I sent and I only sent the first equation. I modified the note after sending his to add the second statement regarding the second equation.
Here is Dr. Melott's web page with the University of Kansas.
Adrian L. Melott at the University of Kansas
He states :
" If it were not in a vacuum, some modifications might be needed."
The second response was from Dr. Eric Poisson. He received the note above (as did all the rest that I sent) in its entirety.
Here is Dr. Poisson's web page from the University of Guelph
Eric Poisson
He states:
" Hi,
the second formula applies only when the radiator is immersed in a thermal bath at temperature Tc. The first formula applies in vacuum, but it also applies when the radiator is immersed in a medium that happens to be cold (Tc = 0K).
Cheers!
Eric
I see his reasoning regarding the addition of a medium at 0K for the first equation, since it would not alter P by adding it as Tcˆ4 in the second equation....although I think the addition is mostly meaningless....and perhaps just a bit of his own musing.
In any case, there are a couple of top shelf physicists who state clearly that the first equation applies in a vacuum...and not just any old radiator radiating any old where.
But I suppose I have wasted my time since you have this whole new cockamamie two dimensional object radiating in 3 dimensions insanity to think about now and proclaim as truth. Tell me, what color is the sky in your delusory world?