Abstract
An analysis to determine the thermal resistance across contiguous, rough interfaces is presented. Numerical solutions using the finite element method are presented for a range Of the governing geometric and thermal parameters and for three interfacial configurations. The three interface shapes examined are the saw-tooth, sinewave, and square-wave profiles. It is observed that in all cases the influence of the interface presence is to decrease the resistance below the one-dimensional, smooth-interface value. This observation is supported through application of Elrod's two theorems to the problem configuration. Numerical solutions for the decrease in resistance, estimated to be within 1% of their true values, are presented for a range of conductivity ratios and interface amplitudes. It was observed that the effect of increasing both of these parameters is to decrease the resistance due to the presence of the interface.
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