NUMERICAL SOLUTION OF HEAT TRANSFER BY CONDUCTION INSIDE ORTHOTROPIC SOLID MATERIALS IN CYLINDRICAL GEOMETRY

Abstract

This study presents a numerical solution of heat transfer within two orthotropic mediums in cylindrical geometry, subjected to an imposed flux density on its lateral surface and to a temperature over the two cylinders sections. The heat equation for the two orthotropic cylinders with the corresponding limit conditions, the continuities of the flux, and the temperatures at the interface of both cylinders have been resolved by using the method of alternating direction implicit (ADI). The established numerical code has been successfully validated with the results exist in the literature for a particular case. The purpose of this study is to investigate the thermal behavior of the two orthotropic cylinders according to mediums mains thermal conductivities ratio, radial thermal conductivity ratio of the two mediums in addition to the time necessary to reach steady-state thermal conduction. The results show that isotherms, axial and radial flux depend on the data problem values. Furthermore, the steady-state time is rather affected by the mains thermal conductivities ratio. The lower value of this time corresponds to higher values of mediums axial thermal conductivities.