A slip-based model for the size-dependent effective thermal conductivity of nanowires

TL;DR

This paper develops a slip-based model using the Guyer-Krumhansl equation to predict the size-dependent effective thermal conductivity of nanowires, aligning well with experimental data for silicon nanowires.

Contribution

It introduces a novel slip boundary condition with a temperature- and radius-dependent slip length, deriving an explicit thermal conductivity expression for nanowires.

Findings

Model matches experimental data for Si nanowires

Effective thermal conductivity decreases with nanowire size

Provides a new analytical tool for nanoscale heat transfer

Abstract

The heat flux across a nanowire is computed based on the Guyer-Krumhansl equation. Slip conditions with a slip length depending on both temperature and nanowire radius are introduced at the outer boundary. An explicit expression for the effective thermal conductivity is derived and compared to existing models across a given temperature range, providing excellent agreement with experimental data for Si nanowires.