Temperature distribution in workpiece during scratching and grinding

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 Heat in Solid, second ed.,Clarendon Press, Oxford, 1959, pp. 269–270; H.S. Carslaw, J.C. Jaeger, Conduction of Heat in Solid, second ed., Clarendon Press, Oxford, 1959; J.C. Jaeger, J. Proc. R. Soc. N. S. W. 76 (1943) 203–224]. With convection cooling over the surface of the half space, finite element method was used to simulate the transient heat transfer process. It was found that, for the same heat source, the shape of temperature contour over the contact interface was not s m t o f h ©