Analysis of heat partition and temperature distribution in sliding systems

Analytical solutions were developed for the temperature rise distribution for the classical case of a tribological sliding system due to frictional heat source at the interface. The sliding system is approximated initially to an infinitely long band heat source with uniform distribution of heat intensity. Since the partition coefficient between the stationary and the moving bodies (relative to the heat source) is not a constant but varies along the interface, variable heat partition along the interface was considered using the functional analysis approach. In this method, the temperature distribution at all points along the interface between the two bodies is matched closely and the functions of the heat partition fractions at the interface as well as the temperature distribution in the two bodies (both on the sliding interface as well as with respect to depth) are determined.