Steady state temperature of a two-layer body subjected to a moving heat source and convective cooling

Surface coatings are often used in tribological applications to protect the surfaces subject to friction. Coatings can play a double role: (i) improvement of the resistance to wear, (ii) enhancement of the diffusion of heat generated by friction. We present in this work an analytical modelling of the three-dimensional heat diffusion in a two-layer medium subjected to local heating and to surface cooling. The solid is moving with respect to the heat source that causes the heating. Based on this model, we study the variation of the temperature distribution as a function of physical parameters such as: (i) the coating thickness, (ii) the relative velocity of the solid with respect to the heat source (iii) the convective heat transfer coefficient.