Bessel Function Heat Transfer. φ0 φl 0 w c0l and a linear operator l. Once that basic structure is in place it is easy to calculate a temperature contribution from a heat source.
Bessel functions of order n which can be rewritten in the form of kelvin functions. V is the modi ed bessel function of rst kind and k. Ordinary bessel function of the second kind.
Total heat transfer rate from the surface is.
It is named after the french physicist jean baptiste biot 17741862 and gives a simple index of the ratio of the heat transfer resistances inside 1k of and at the surface of a body 1hl. Function 11 2 00nn m m mn mn m r rr r dr r r rdrr we can also show that rr is the well known bessel function. The total heat transfer between the body and the. 0 c i.