In the geometry of the problem the Biot number will be in the range of 15-20, so a transient problem it is. Oh, joy.
I found three papers on the subject:
"Transient analytical solution to heat conduction in composite circular cylinder", Lu, et al, Int'l J of Heat & Mass Transfer, 49, 2006...
Thank you for the input. I was already leaning toward a "goal seek" sort of solution. Please correct me if I'm over-complicating the problem, but, since there are two unknowns with only one equation, why wouldn't I end up with a family of answers, rather than a single unique (Tw, To) pair?
Alan
I have a problem which should be fairly simple, but which is beating me up pretty severely. Situation: A static water-filled insulated pipe sitting in the sun. I'm trying to determine the change in water temperature when subjected to a known cycle of air temperature and solar radiation. I...
