Thermal rectification in heat conduction problems has been extensively studied in planar slabs. Here we consider the rectification problem in planar, cylindrical and spherical geometries involving two layers one of which has a temperature variable heat conductivity. The rectification factor is analytically calculated. It is shown that a maximum theoretical value of 1.618 is obtained.
@article{arxiv.1808.06593,
title = {On the thermal rectification factor in steady heat conduction},
author = {Hamou Sadat and Vital Le Dez},
journal= {arXiv preprint arXiv:1808.06593},
year = {2018}
}