Frictional Heating During Sliding of Two Layers Made of Different Materials

The non-stationary heat problem of friction for two homogeneous layers with imperfect thermal contact and convective heat exchange on the free surfaces is considered. Assuming a constant specific power of friction, an exact solution of the formulated problem is obtained using the Laplace integral transform. The solution is verified by checking the fulfillment of the boundary and initial conditions both in the transform space as well as in the space of the original. Particular solutions are also derived for some specific cases, namely, the perfect thermal contact of friction at large values of the contact heat transfer coefficient and the asymptotic solution at the initial time moments of the heating process. On the basis of developed solutions, numerical analysis was performed in dimensionless form. The influence of the thermal contact conductance, the convective cooling intensity, and the relative layer thickness on the temperature field is investigated. It was established that for Biot number Bi≥50 yields nearly equal surface temperatures.