Analytical Solution for Heat Conduction in moving solids using Green Functions

sidney ribeiro da silveira¹; gabriela costa de oliveira²; gilmar guimarães²

¹ universidade federal de uberlânda; ² universidade federal de uberlandia

doi:10.20906/CPS/COB-2015-1935

Resumo

Thermal problems involving moving sources occur in various engineering applications, such as welding processes, heat treatment furnaces and other treatments. Typically, in these cases, numerical softwares are used due to the complexity to modeling of the heat diffusion equation and boundary condictions. This paper propose a mathematical analysis and analytical solution of a 1D transient thermal model based on Green functions, verification and validation to the analytical solution and comparsion with numerical solutions. considering a moving solid at a constant speed along a cartesian coordinated.

Palavras-chave: moving solid; heat conduction; analytic solution; green function