Temperature and thermal resistance in frictional devices

Exact analytical solutions are developed to calculate the three-dimensional temperature distribution and the thermal constriction resistance due to moving heat sources on semi-infinite bodies. Three configurations are studied: (a) rectangular source on a rectangular prism, (b) elliptic source on a rectangular prism and (c) eccentric circular source on a rotating cylinder. By varying the values of geometric parameters in the provided solutions, we get the solution for various particular cases (e.g., unique or multiple: strip, rectangular, square, elliptic and circular moving heat sources). The proposed analytical models also allow to calculate the flash and average temperatures regardless the Peclet number value. Some comparisons with available models are presented. For each configuration, we provide some results given the thermal constriction resistance (or the average contact temperature) as a function of geometric parameters and velocity.