Closed form expression for the surface temperature in wet grinding: application to maximum temperature evaluation

Considering the classical modelling of heat transfer in wet flat grinding [DesRuisseaux and Zerkle, J Heat Transf 92:456-464, 1970], we have calculated a closed-form expression for the surface temperature in the stationary regime. For any Peclet number and for small Biot numbers this closed expression can be computed much more rapidly than its equivalent integral form given in the literature. As an application, this result can be used to compute the maximum temperature of the workpiece very rapidly. We have seen that the numerical maximization of the surface temperature using the integral form given in the literature is extremely slow and sometimes fails. However, to prevent thermal damage, a fast computation of the maximum temperature is highly desirable for on-line monitoring in industrial grinding.