Analytical solution of dual phase lagging heat conduction in a hollow sphere with time-dependent heat flux

摘要

The non-Fourier axisymmetric temperature field within a hollow sphere is obtained considering dual phase lagging heat conduction equations. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The method of solution is the standard separation of variables method. Duhamel's integral is used for applying the time-dependent boundary conditions. Then, the presented solution is applied to special case of harmonic heat flux on outer surface.