Modeling of the Transient Temperature Field during Laser Heating

Motivated by the need to determine the transient temperature field during laser heating, the heating process is modeled as a transient three-dimensional heat conduction problem in a finite slab subjected to a moving circular heat source on the upper surface to emulate the heat generated on the irradiated surface. The boundary value problem is formulated considering all slab surfaces are subjected to heat convection. A closed form solution of transient temperature field is obtained using Green’s function which constructed using separation of variables method. Experiments are performed using a continuous wave CO₂ laser machine with maximum power of 150 W to verify the obtained results. Numerical calculations are performed for two different materials to figure out the effect of the material properties on the heating process.