Application of solution structure theorem to non-Fourier heat conduction problems: Analytical approach

This study presents an analytical method which combines the superposition technique along with the solution structure theorem such that a closed-form solution of the hyperbolic heat conduction (HHC) equation can be obtained using fundamental mathematics. The method is applied to investigate two one-dimensional HHC problems with different boundary and initial conditions to study the effect of spatially-decaying and time-varying laser incidence at the surface. The methodology provides a convenient, accurate, and efficient solution to the HHC equation, which is applicable to a variety of HHC analyses for various engineering applications. The examples presented in this study can be used as benchmark problems for future numerical method validations.