Finite-Volume Solution of a Hyperbolic Two-Step Conduction Equation

Abstract

The finite-volume method is developed for the solution of two-step hyperbolic conduction equations and applied to fast transient non-Fourier conduction problems in which two energy carriers are not in thermal equilibrium. Numerical methodology has been formulated to be applied to heterogeneous materials with temperature-dependent properties. Application to ultrafast laser heating of thin composite metals shows favorable results in comparison with the existing data.

The author expresses sincere gratitude to the editor for his guidance.