Abstract
Analytical solution is developed to calculate the thermal constriction resistance for contacts randomly distributed on the surface of a laterally insulated semi-infinite square prism. The contacts are modeled by circular spots with different radii and uniform heat flux. We analyze the evolution of the thermal constriction resistance as a function of the number of contacts, the relative contact size, and the dispersion of radii of spots. We show that the thermal constriction resistance for random contacts is a few tens of percents greater than that of the regular contacts.
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