QUASI-STEADY-STATE 3-DIMENSIONAL TEMPERATURE DISTRIBUTION INDUCED BY A MOVING CIRCULAR GAUSSIAN HEAT-SOURCE IN A FINITE DEPTH SOLID

An analytical solution to the three-dimensional quasi-stationary probl em in a finite depth and width solid with a circular Gaussian moving h eat source at the body surface is developed and analyzed. The temperat ure distribution and the axial coordinate at which the maximum midplan e temperature is achieved are presented as a function of Peclet number , solid thickness and width. The dependence of the maximum midplane te mperature on the process parameters is highlighted. Combinations of pr ocess parameters for which the solution to the three-dimensional probl em can be approximated by those to simpler models are pointed out.