Effect of thickness and physical properties of films on the thermal behavior of a moving rough interface

¹ Department of Heat Transfer, University of Paris X, LEEE, EA. 387, 1 Chemin Desvallières, 92410 Ville d'Avray, France
² Departamento de Física Aplicada (EUITI), Universidad Politécnica de Madrid, Ronda de Valencia, 3, 28012 Madrid, Spain

Corresponding author: abairi@u-paris10.fr

Received: 27 November 2003
Revised: 27 January 2004
Accepted: 27 January 2004
Published online: 22 March 2004

Abstract

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.