Study of temperature 3D profile during weld heating phase using Boubaker polynomials expansion

The present study is concerned with investigating temperature evolution during weld heating phase in a particular device. Experimental results are presented as a guide to theoretical calculations. The main theoretical item is an attempt to solve the heat equation by considering the evolution of the source term inside electrically heated zone. Empirical variations of both thermal and electrical conductivities are treated and involved in the model.