Developing transient three dimensional thermal models for electro discharge machining of semi infinite and infinite solid

In order to explain the mechanism of material removal in electro discharge machining, various theoretical models based on transient heat conduction equation have been proposed by considering suitable assumptions and appropriate initial and boundary conditions. In this paper, the Laplace and Hankel integral transforms have been used in order to solve three dimensional transient heat conduction equation for an infinite solid subject to circular heat source. The computer program has been developed to compute the temperature distribution and the effect of heat flux, plasma channel radius, pulse duration on temperature distribution has been studied in order to study the nature of the crater formed under a single spark. Finally, a comparison has been made with the results of the semi infinite model.