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Thermal contact resistance in two-phase media with arbitrary shaped adiabatic fractures

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CATW04 - Complex analysis: techniques, applications and computations - perspectives in 2023

In this talk, we analyse the thermal contact resistance problem in a two-dimensional, periodic, two-phase medium with arbitrary shaped adiabatic fractures. We investigate how the fracture shape and the enclosed area affect the quantitative measure $\lambda$. Our analysis proceeds via a transform approach based on the Unified Transform Method and the solutions for the corresponding temperature fields are obtained in a quasi-analytical form. A number of example problems involving different fracture shapes are presented. As a check, our results are compared to exact or approximate solutions for the cases for which these exist. This is joint work with Jonathan Marshall (UCL).

This talk is part of the Isaac Newton Institute Seminar Series series.

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