Heat distribution in a rectangular plate heated by a moving heat source

Abstract

In this study, temperature distribution in a rectangular plate due to a moving heat source with a constant velocity is investigated and analytical expressions for the temperature are obtained. First, temperature distribution is obtained for a heat source moving with a constant speed at a constant direction. Second, how the present method can be modified for the process in different directions is expressed. Third, temperature distribution for the circular processing is formulated and solved. Heat source is defined by means of a Dirac Delta function. Results are exemplified for various values of the parameters. In order to provide the ease of use a GUI software in Matlab is also developed.