On the thermal rectification factor in steady heat conduction
Hamou Sadat, Vital Le Dez

TL;DR
This paper analytically investigates thermal rectification in various geometries with layered materials, revealing a maximum rectification factor of approximately 1.618, advancing understanding of heat conduction asymmetries.
Contribution
It provides an analytical calculation of the thermal rectification factor in different geometries with temperature-dependent conductivity, identifying a maximum theoretical value.
Findings
Maximum rectification factor of 1.618 identified
Analytical expressions derived for different geometries
Enhanced understanding of heat conduction asymmetries
Abstract
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.
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