Ma. Alnimr et Tw. Abouarab, TRANSIENT TEMPERATURE DISTRIBUTION WITHIN A FLAT SHEET DURING THE WELDING PROCESS - ANALYTICAL SOLUTION, Heat transfer engineering, 15(1), 1994, pp. 27-33
An analytical study of transient heat conduction process with moving h
eat source/sink was considered. In this study a closed-form solution f
or the heat conduction equation is obtained. Using the obtained soluti
on, the spatial temperature distribution and the temperature time hist
ory could be obtained. The obtained results are compared with numerica
l and experimental data in the literature. The comparison shows that t
he present solution can be used do determine the effect of different h
eat flow parameters on the temperature pattern and history in any simi
lar heat conduction problem.