Analytical and numerical methods for solving problems of heat conduction for body with graded coating

Abstract

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.In the present paper an axisymmetric heat condition problem for a non-homogeneous half-space heated by a heat flux is considered. The half-space consists of a homogeneous substrate and non-homogeneous coating. The solutions are obtained using Hankel integral transform technique. Compared: 1) the analytical solutions of the problems for coating, which has a heat conductivity coefficient is described by continuous function of the distance to the boundary surface, and the solution of the problem in which the non-homogeneous coating is modeled by the package of homogeneous layers; 2) the solution for the multilayered coating with a periodic structure and the solution of the problem in which this coating is described by a homogenized uniform layer.