The unsteady solutions of a unified heat conduction equation (Q1277939)

The unified model is a generalized approach based on the dual-phase-lag concept which accounts for the lagging behavior in the high-rate response. A universal constitutive equation between the heat flux vector and the temperature gradient is proposed with an effort to cover a wide range of physical responses from microscopic to macroscopic scales in both space and time. An exact solution, using the method of separation of variables, to the above universal constitutive equation for a one-dimensional problem is addressed in this paper. The aim of this note is to present a convergence approach to the short-pulse laser heating problem by virtue of the unified heat conduction equation.