Actually had something to say but Latex here is beyond me. I write articles with LaTex in TeXworks but am at a complete loss here. Sorry. I tried to post something but can't delete it.
Close but no Cigar,
Carslaw and Jaeger is a very nice book and discusses an incredible number of examples. Just not this one.
Closest they come is in section 9.2 (VI) and 9.8 (IX) which are the same. Their terminology is weird "radiation at the surface into a medium at zero" apparently means...
Thanks again. Impressed by anyone who knew the reference off the top of your head.
Currently driving our librarian crazy trying to find the book. May just buy the paperback.
I appreciate your reference very much and you clearly understand the problem. I certainly don't want to nit-pick or argue.
I hope you don't mind if I disagree with this technical point.
Pretty sure you have to separate out the long term solution with the average heat source and solve for the...
Thanks and Yes (almost). The long term solution uses the average of the heat source which I called Q(r). Not nit-picking - just don't want to confuse the next reader.
I figured that this had to be discussed somewhere. Will probably put your reference for the next paper (hopefully there is...
We solved a simple looking heat diffusion problem because it describes an apparatus used in an NIH sponsored research project. It resembles problems discussed in textbooks and in many papers on the web. A textbook method solves all those problems but a straight forward application of that...