Study of Thermal Conduction Within Two Orthotropic Mediums in Geometry Cylindrical Subjected to a Flux Varying Longitudinally on the Lateral Surface

This article studies an exact solve for 2-D thermal conduction through cylinders with orthotropic properties, subjected to a prescribed temperature on both end sections and longitudinally varying heat flux over the whole lateral surface. The method of separation of variables is employed to integrate the orthotropic equation along with the boundary conditions, temperature continuity, and flux at the interface between the two mediums. The effectiveness of the obtained results is examined through the ratio of the principal thermal conductivity and the radial ratio of the thermal conductivity between the two mediums. The analysis demonstrates that the radial and axial profiles of temperature and flux are influenced by the specific values of the given problem data.