Heat Conduction in Two-Dimensional Slabs Subjected to Spatially Decaying Laser Pulses

摘要

The temperature distribution within a two-dimensional rectangular slab subjected to a time-varying and spatially decaying laser source is presented. Linear boundary conditions involving nonhomogeneities are considered in this study for two slab thicknesses. The solution of the nonhomogeneous and time-dependent heat conduction boundary-value problem is obtained with the integral-transform technique. The temperature results are presented for various thermal and geometric dimensionless parameters as well as two levels of laser power intensity. Additionally, the results are compared with one-dimensional analyses to examine the effect of in-plane heat spreading in a two-dimensional slab. The knowledge gained from this study will provide a better understanding of heat treatment manufacturing processes in microtechnology, where precise control of the location of the maximum temperature during laser-induced heating is required.