The Heat Transfer Problem in a Non-Convex Body—A New Procedure for Constructing Solutions

The subject of this work is the coupled steady-state conduction-radiation-convection heat transfer phenomenon in a non-convex blackbody, which represented by second-order partial differential equation (representing conduction inside body) subjected to nonlinear (and non-local) boundary conditions (due thermal radiation transfer). Moreover, anon-convex body emits radiant energy itself, must be taken into account when high temperatures are involved. unknown absolute temperature. A procedure proposed for constructing solution tothe problem means sequence whose elements obtained from linear problems, such asthe classical ones involving Robin conditions.