Efficient temperature field evaluation in wet surface grinding for arbitrary heat flux profile

Abstract

We consider the heat transfer in surface wet grinding, assuming a constant heat-transfer coefficient over the workpiece surface, as well as the usual heat flux profiles entering into the workpiece given in the literature, i.e. constant, linear, parabolic and triangular. On the one hand, we calculate in the stationary regime, the temperature distribution on the workpiece surface in series form. These series converge only for Biot numbers less than unity. By using convergence acceleration, these series can be computed more rapidly than its equivalent integral form without any appreciable loss of accuracy. Also, we avoid the numerical integration problems found in the expressions given in the literature. Moreover, the expressions found can be used to compute the maximum temperature of the workpiece very rapidly. On the other hand, we have refined some approximations for the relaxation time in wet grinding, and we have derived some new expressions for dry grinding. The relaxation time has been applied to compute the temperature field inside the workpiece in the stationary regime, obtaining a more rapid numerical evaluation without any appreciable loss of precision.