Abstract

An analytical solution is proposed to calculate the thermal constriction resistance for an eccentric circular spot with uniform flux on a semi-infinite circular heat flux tube. This solution is developed using the finite cosine Fourier transform and the finite Hankel transform. It allows to calculate the stationary three-dimensional temperature distribution and the thermal constriction resistance. The results of proposed solution are in agreement with available theoretical and experimental studies. We show that the thermal constriction resistance for an eccentric contact is greater than the one of a centered contact (few tens percent), which is consistent with recent studies on random contacts. A simple correlation is also proposed to calculate the thermal constriction resistance as a function of the eccentricity and the relative contact size.

Issue Section:
Technical Notes
Keywords:
Conduction, Contact Resistance, Interface, Roughness, Tribology, thermal resistance, temperature distribution, Fourier transforms, Hankel transforms, mechanical contact
Topics:
Boundary-value problems, Fourier transforms, Heat flux, Temperature distribution, Heat conduction, Temperature, Contact resistance, Heat

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Copyright © 2004
 by American Society of Mechanical Engineers
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