On axisymmetric heat conduction problem for multilayer graded coated half-space

The technique of integral Hankel transform to find the solution of heat conduction in half-
-space coated by a multilayered package of homogenous laminae is applied. The half-space
is heated by the given heat flux on the boundary surface. The temperature and heat flux
distribution in the radial direction is analyzed for two types of coatings: 1) when the heat
conductivity coefficient is described by a power or exponential function of the distance to
the boundary surface; 2) multilayered coating has a periodic structure.