Repetitive laser pulse heating with a convective boundary conditionat the surface

Abstract

Repetitive laser pulses deposit sufficient energy to provideuniform-like heating at the surface of a substrate. This improves the surface properties of thesubstrate so treated. In the present study, an analytical solution forthe temperature distribution due to repetitive laser pulse heating witha convective boundary condition at the surface is obtained. A Laplacetransformation method is used when obtaining the analytical solution for theheat transfer equation. The effects of the pulse parameter(β/γ) and the Biot number (Bi) on the resulting temperature profilesfor the possible attainment of a steady temperature at the surface duringrepetitive laser pulse heating is explored. The consecutive pulses with decreasingintensities are employed in the analysis while Bi is varied as2×10-4⩽Bi⩽0.2. It is found that it is unlikely that the temperature profilefollows the pulse profile. The effect of Bi on the temperatureprofiles resulted from the repetitive pulses becoming significant when Bi⩾10-2.