The Knudsen Layer in the Heat Transport Beyond the Fourier Law: Application to the Wave Propagation at Nanoscale

TL;DR

This paper introduces a new model for heat transfer at the nanoscale, using the Knudsen layer concept to study how phonon-boundary scattering affects thermal wave propagation.

Contribution

The paper introduces the Knudsen layer concept into non-equilibrium thermodynamics for nanoscale heat transfer modeling.

Findings

The model aligns with the second law of thermodynamics.

The Knudsen layer significantly influences the speed of thermal wave propagation at the nanoscale.

Abstract

In agreement with the second law of thermodynamics, a new theoretical model for the description of the heat transfer at nanoscale in a rigid body is derived. The model introduces the concept of the Knudsen layer into non-equilibrium thermodynamics in order to better investigate how phonon–boundary scattering may influence the heat propagation at nanoscale. This paper, in particular, deepens the influence of the Knudsen layer on the speed of propagation of thermal waves.