Repetitive laser pulse heating with a convective boundary condition at the surface

Repetitive laser pulses deposit sufficient energy to provide uniform-like heating at the surface of a substrate. This improves the surface properties of the substrate so treated. In the present study, an analytical solution for the temperature distribution due to repetitive laser pulse heating with a convective boundary condition at the surface is obtained. A Laplace transformation method is used when obtaining the analytical solution for the heat transfer equation. The effects of the pulse parameter (β/γ) and the Biot number (Bi) on the resulting temperature profiles for the possible attainment of a steady temperature at the surface during repetitive laser pulse heating is explored. The consecutive pulses with decreasing intensities are employed in the analysis while Bi is varied as 2×10^-4≤Bi≤0.2. It is found that it is unlikely that the temperature profile follows the pulse profile. The effect of Bi on the temperature profiles resulted from the repetitive pulses becoming significant when Bi≥10^-2.