Semi-Analytical Solution for Modelling Moving Heat Sources in a Semi-Infinite Medium with Radiative and Convective Boundary Conditions

The weld quality is highly related to the thermal history of and there have been many trials monitor using an infrared (IR) sensor. To obtain real temperature a surface based on brightness values measured by IR camera, emissivity value must be derived. For accurate assessment emissivity, one aware melting point isotherm. profiles only depend three factors during laser processing, specified as constants characteristics material: beam speed (v), diameter (d), power (P). Predicting width melted zone reached welding process parameters vary tool for helping processing determination true in camera. This study describes semi-analytical (SA) solution heat conduction equation localized moving Gaussian source with constant semi-infinite medium. solution, simple quick obtain, provides information average error < 5 %. outcome assessed numerically contrasted FEM solutions source, latter having undergone experimental validation. With two distinct defocus values, def0 def-6, varying settings, separate types experiments were run. Thus, SA was obtained compared after had good approximation (max err 4.3 %, 2.7 %). Only regard 1AL test more than % detected; other case, 3.75 Two tests at def-4 def-8 conducted confirm model's validity varied. Overall, between 4.1%. may used effectively estimate isotherms aluminum (770 K). allows which helps restoring camera welding. At same time, this effective investigate importance different manufacturing.