An exact solution for thermal analysis of a cylindrical object using hyperbolic thermal conduction model

Abstract

In this paper, the hyperbolic heat conduction equation in a cylinder subjected to a special heat flux boundary condition is solved. Equations are solved by deriving the analytical solution using separation of variables method. The temperature layers and profiles of sample calculations are presented. The wavy nature of this kind of heat conduction can easily be seen in the temperature profiles. It is found that with the increasing Vernotte number, a point can get to higher temperature during the process. Also, it can be perceived from temperature profiles that it is possible that the temperature of different points of object becomes even lower than the initial temperature.