Temperature distribution within a rotating cylindrical body heated and cooled locally on its peripheral surface

Temperature distribution within a rotating cylinder, in which heat is generated locally on the surface at a band heat source, and is removed over a local cooling band on the surface, is calculated by means of the Rayleigh-Ritz Method. Numerical results are graphically illustrated. The method proposed here is more applicable than functional analysis to the problem with some types of complex boundary conditions such as those of local cooling. It is also more applicable than numerical analysis to the problem with moving heat source and moving boundary conditions.