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.
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