摘要

In this paper, we present an axisymmetric modeling of long pulsed laser heating with convective boundary conditions using analytical solutions. The two-dimensional axisymmetric physical model of the temperature rise problem for long pulse laser heating material with convective boundary conditions is established, and analytical solutions of the governing heat transfer equation are obtained by using the integral transformation method. It is found that the results obtained from the analytical solutions agree well with the existing finite element method. Temperatures of Silicon bulk for different convective boundary conditions are modeled, and effects of heat transfer coefficient and ambient temperature on the temperature distributions of Silicon are analyzed.