Dual-phase-lag heat conduction analysis of a three-dimensional finite medium heated by a moving laser beam with circular or annular cross-section

Abstract

We analyze the non-Fourier dual-phase-lag heat conduction process in a three-dimensional medium heated by a moving circular or annular laser beam, which is modeled by a set of point heat sources in the cross-section. In order to solve the model, Green's function approach is first used to obtain an analytical solution for the temperature distribution over the medium subjected to a single point heat source. Then the temperature distribution on the medium subjected to the laser beam can be obtained by the superposition method. According to this solution, the dependence between the heat conduction process and the cross-section of the heat source is investigated. Based on the comparison of the temperature distribution of the medium under Fourier's law and non-Fourier's law, the effect of the phase lag parameter is revealed. In addition, the effects of laser spot size and laser moving speed on the temperature distribution are also analyzed. The discovered properties provide theoretical support for the application of moving laser heat sources in various fields under the dual-phase-lag model.