Thermal deflection of a thin circular plate with radiation

Abstract

This paper deals with the determination of thermal deflection of a thin circular plate defined as ;. A circular plate is considered having arbitrary initial temperature and subjected to radiation type boundary condition which is fixed at . The non homogeneous type boundary conditions are maintained at plane surfaces of the plate. The governing heat conduction equation has been solved by using integral transform technique. The results are obtained in series form in terms of Bessel’s functions. As a special case, aluminum metallic plate has been considered and the results for temperature distribution and thermal deflection have been computed numerically and are illustrated graphically. Key words: Heat generation, non homogeneous heat conduction equation, thermal deflection, thermoelastic problem.