Method to Measure Radial Thermal Conductivity for Cylindrical Samples.

Abstract

Anisotropy is a prevailing property in most substances in the real world. The thermal conductivity characteristic of anisotropy must be determined for utilizing geothermal resources and assessing battery performances. Most core samples were primarily obtained by drilling and intended to be cylindrical in shape, with the cores resembling quantities of familiar batteries. Although Fourier's law could be used to measure the axial thermal conductivity of square or cylindrical samples, there is still a need to develop a new method to measure the radial thermal conductivity of cylindrical samples and evaluate their anisotropy. Thus, we established a testing method for cylindrical samples using the theory of complex variable functions following the heat conduction equation and implemented a numerical simulation to determine the difference between this method and typical ones via a finite element model for various samples. Results show that the method could perfectly gauge the radial thermal conductivity of cylindrical samples with more powerful availability.