Analysis of dual-phase-lag heat conduction in a two-dimensional slab heated by a moving annular laser pulse

Abstract

The controlled scan of a laser beam is at the core of the technology used for the micromachining of metals. To improve the laser micromachining of metal surfaces and reduce the thermal stress caused by the difference in temperature obtained in the process, a moving annular pulse laser heat source is introduced in present work. A mathematical model based on the dual-phase-lag (DPL) model is formulated to simulate the temperature response in a finite two-dimensional slab heated by the moving annular pulse laser heat source. Green's function approach and the superposition method are used to develop an analytical solution for the temperature field, and influences of the ratio of the thermalization time to the relaxation time of heat flux vector on the slab temperature distribution are investigated. The laser parameters that comprise the inner and outer radii are also examined to determine the induced temperature characteristics and advantages of the novel heat source.