Films are used in a wide range of electronic
and mechanical technologies. An analytical solution is developed in this
paper in order to investigate the effect of films on the thermal behavior at
the vicinity of a static or moving rough interface. The roughness is modeled
by multiple circular contacts which are assumed identical and regularly
distributed over the interface according to a square net. The governing
equations are solved by using the finite complex Fourier transform and the
finite cosine Fourier transform. The developed solution is explicit and
allows to calculate the three-dimensional steady-state temperature
regardless of the velocity and the ratio of the real contact area to the
apparent one. Thus, this solution can be also used for other applications
such as the moving laser beam. The comparisons performed show a good
agreement of our results with available models. We study the effects of:
thermal properties of materials, the relative size of micro-contacts, the
film thickness and the velocity, on the thermal behavior of the body.