Analytical solution of temporary temperature field in half-infinite body caused by moving tilted volumetric heat source

In this work, analytical solution of temporary temperature field in half-infinite body caused by moving heat source tilted towards the direction of motion is presented. In solution is assumed volumetric heat source with Gaussian power density distribution with respect to depth. Calculations of temperature field in cubicoidal steel element have been conducted for three tilt angles between heat source and perpendicular to the surface of object: −30°, 0 and 30°. Results of calculations are presented in the form of temporary and maximum temperature fields in sections of element and thermal cycles at selected point.