In this work, analysis of transient three-dimensional heat transfer in a slab with internal heat generation and heated by a point moving heat source along its axis is carried out using integral transforms methods. The heat input into slab or workpiece by the moving heat source is considered in the model. From the results, it was established that the temperature of the material during the heat t...

in this paper, the temperature distribution around a moving heat source had been investigated including the phase change and non phase change . in non-phase change state, the governing equation was converted to finite difference equation by finite volume method and the equation was solved by alternating direction implicit method. this method was unconditionally stable . in phase change state, t...

The temperature of a combustible material will rise or even blow up when a heat source moves across it. In this paper, we study the blow-up phenomenon in this kind of moving heat source problems in two-dimensions. First, a two-dimensional heat equation with a nonlinear source term is introduced to model the problem. The nonlinear source is localized around a circle which is allowed to move. By ...

The heat transfer problem of a moving heat source along the surface of a half space was studied analytically and numerically. For the 2D problem, the heat source was a strip moving source and for the 3D problem, the heat source was a square moving source. Analytical solutions are available only for adiabatic conditions as given by Carslaw and Jaeger [H.S. Carslaw, J.C. Jaeger, Conduction of Hea...

Original scientific paper In present work, thermal transport considering heat radiation by oval heat source shape and heat transfer of molten moving electrode was presented. In present paper, an analytical solution was presented by aggregating temperature increments caused by applying liquid metal and heat radiation of moving electrode. The assumptions for the study were heat source of temperat...