Numerical solutions for the hyperbolic heat conduction problems in a layered solid cylinder with radiation surface

The numerical scheme based on the hybrid application of the Laplace transform method and a control-volume formulation in conjunction with the hyperbolic shape functions is applied to investigate the hyperbolic heat conduction problems in an infinitely long layered solid cylinder with the nonlinear boundary conditions. In order to perform the Laplace transform method, the nonlinear boundary conditions are linearized with Taylor's series expansion. Results show that the present numerical scheme can overcome the mathematical difficulties induced by the nonlinear boundary conditions, the geometry, the composite interface and the singular point, and has stability and reliability for such problems. Effects of the thermal properties of two dissimilar materials on heat transfer are also discussed.