A Practical Jointed Approach to Transient Hyperbolic Heat Conduction of FGM Cylinders and Spheres

Abstract

In this study, a practical jointed approach of hollow cylinder and sphere shape functionally graded material (FGM) is considered. Non-Fourier hyperbolic heat conduction method is used. The FGM materials consists of a mixture of ceramic and metallic materials that shows exponential variation in the radial direction. First, the problems are transformed to the Laplace domain form. After that complementary functions method (CFM) is preferred, yielding the solution appropriately that the Durbin's numerical inverse Laplace transform method is used to transform to the real space. The transient dynamic responses of temperature and heat flux are examined with respect to specific inhomogeneity parameters and various relative temperature changes. Different plots are produced in order to emphasize the correlation of the temperature distribution and beside this heat flux between changing time and also material properties. In order to verify the results in this study, a comparison was made with the existing solutions obtained in the literatures.