A model has previously been developed for heat transfer in down grinding. A numerical solution algorithm was used to solve the system of equations. In this payer, an exact solution is found for this set of equations. The effect of the location of heat generation (i.e., at wear flats or shear planes) is explored for three typical grinding conditions: conventional grinding with aluminum oxide abrasives, creep feed grinding with aluminum oxide abrasives, and conventional grinding with cubic boron nitride (CBN) abrasives. It is found that during grinding with CBN, there is a strong effect of the assumed location of heat generation.