Temperature fields in a hollow cylinder in presence of heat source under the boundary conditions of the second kind

Abstract

General expressions have been derived for unsteady temperature distribution in a finite hollow cylinder under the influence of a time dependent volume heat source and prescribed heat fluxes at the boundaries. By introducing certain artificial additional heat source functions, corresponding Pseudo-steady solutions are defined and by means of which the temperature fields are expressed in the form of uniformly convergent series solutions. By the application of integral transform techniques the expressions for temperature distribution are obtained in various forms which may be applicable to various cases of technological importance. © 1973 Indian Academy of Sciences.