An analytical solution to the thermal problems with varying boundary conditions around a moving source

作者：Salimi Solaleh; Bahernmat Pouya^*; Haghpanahi Mohammad

来源：Applied Mathematical Modelling, 2016, 40(13-14): 6690-6707.

DOI：10.1016/j.apm.2016.02.012

• Analytical solution
• Varying boundary conditions
• Moving source
• Underwater welding
• Jet impingement cooling
• Non-uniform heat convection

This article devises an analytical solution to the practical industrial applications, in which the thermal boundary conditions are varying in both time and space around a cooling or heating source moving along a finite domain. Among the various applications of such a solution, the jet impingement cooling and underwater welding and cutting would be of great importance. Afterwards, a numerical example regarding the temperature field caused by an underwater solid state welding process is provided by using the developed analytical solution. Finally, in order to evaluate the accuracy of the presented analytical model, the analytically obtained results are compared with the results attained by FEM-Comsol commercial software.

• 出版日期2016-7