An analytical solution of the hyperbolic heat conduction equation for the case of a finite medium symmetrically heated on both sides

This paper presents an analytical solution of the hyperbolic heat conduction equation for the case of a thin slab symmetrically heated on both sides. In the mathematical model adopted, the heating is treated as an internal heat source with capacity dependent on coordinate and time, while walls of the slab are assumed to be insulated. The solution is obtained by Laplace transforms method taking advantage of the method of superposition. The analytical solution is validated by comparison with the results from a numerical model.