Formulation of heat conduction and thermal conductivity of metals

Abstract

The well-known low-pressure monatomic gas thermal conductivity expression is based on the Maxwell-Boltzmann velocity distribution and involves the mean particle velocity, the gas heat capacity at constant volume and the particle mean free path. The extension of the formula to a free electron Fermi gas, using the Fermi velocity along with the Sommerfeld electronic heat capacity, was demonstrated in the literature using the Boltzmann transport equation. A different formulation of heat conduction in sufficiently pure metals, yielding the same formula for the thermal conductivity, is provided in the present investigation using the free electron Fermi gas energy distribution with the thermal conductivity determined from the net heat transfer occurring due to random motions of the free electrons in the presence of temperature gradient. Potential applications of this approach include extension of the present kinetic model incorporating quantum effects to cases in which electron scattering occurs such as in nanowires and hollow nanowires.

Thermal conductivity, rheology and stability analysis of 2D tungsten disulphide‐doped polyaniline‐based nanofluids: An experimental investigation

“…Moreover, in the present work, the metallic nature of PANI and semiconducting behaviour of WS 2 were integrated. Thus, the electron‐phonon coupling might be the influencing factor to promote thermal conductivity 55,56 . The other possible reason could be the untangling of PANI nanotubes with the addition of WS 2 which made the heat conduction easier through straight fibrous elements of nanocomposites.…”

“…Thus, the electron-phonon coupling might be the influencing factor to promote thermal conductivity. 55,56 The other possible reason could be the untangling of PANI nanotubes with the addition of WS 2 which made the heat conduction easier through straight fibrous elements of nanocomposites. In addition, the PANI fibres have also been spotted with dual heat conduction nature.…”