This paper presents a general solution for the transient temperature field in a finite slab, when heated by a moving laser heat source. The analytical solution was solved by integral transform method. The eigenvalues were obtained by the method of separation of variables. In the presented model, finite region and general convective boundary conditions were assumed. Meanwhile, experiment and FEM simulation were performed as a verification under a specific case. For the experiment, a continuous wave YAG laser system was used to scan an aluminum sheet, and temperature histories at various points were logged for comparison. For the HEM simulation, a 3D transient heat transfer model was adopted with a subroutine to implement the moving laser beam. The results showed that the analytical solution was consistent with both the experimental data and FEM simulation.

This work was supported by the National Natural Science Foundation of China, through Grant no. 11102210.
Peng, Q.An analytical solution for a transient temperature field during laser heating a finite slab.APPLIED MATHEMATICAL MODELLING, 2016, 40,4129-4135.