<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The thermal diode is the fundamental device for phononics. There are various mechanisms for thermal rectification, e.g. different temperature dependent thermal conductivity of two ends, asymmetric interfacial resistance, and nonlocal behavior of phonon transport in asymmetric structures. The phonon hydrodynamics and thermomass theory treat the heat conduction in a fluidic viewpoint. The phonon gas flowing through the media is characterized by the balance equation of momentum, like the Navier-Stokes equation for fluid mechanics. Generalized heat conduction law thereby contains the spatial acceleration (convection) term and the viscous (Laplacian) term. The viscous term predicts the size dependent thermal conductivity. Rectification appears due to the MFP supersession of phonons. The convection term also predicts rectification because of the inertia effect, like a gas passing through a nozzle or diffuser.</p></abstract>

The thermal diode is the fundamental device for phononics. There are various mechanisms for thermal rectification, e.g. different temperature dependent thermal conductivity of two ends, asymmetric interfacial resistance, and nonlocal behavior of phonon transport in asymmetric structures. The phonon hydrodynamics and thermomass theory treat the heat conduction in a fluidic viewpoint. The phonon gas flowing through the media is characterized by the balance equation of momentum, like the Navier-Stokes equation for fluid mechanics. Generalized heat conduction law thereby contains the spatial acceleration (convection) term and the viscous (Laplacian) term. The viscous term predicts the size dependent thermal conductivity. Rectification appears due to the MFP supersession of phonons. The convection term also predicts rectification because of the inertia effect, like a gas passing through a nozzle or diffuser.

Thermal rectification based on phonon hydrodynamics and thermomass theory

Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing, China

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Thermal rectification based on phonon hydrodynamics and thermomass theory"}

The thermal diode is the fundamental device for phononics. There are various mechanisms for thermal rectification, e.g. different temperature dependent thermal...

Thermal rectification based on phonon hydrodynamics and thermomass theory

Published Online: May 20, 2016

Page range: 26 - 38

Received: Nov 01, 2014

Accepted: Mar 05, 2015

DOI: https://doi.org/10.1515/caim-2016-0004

Keywords
thermal rectification, thermomass theory, phonon hydrodynamics, phonon Boltzmann equation

© 2016 Yuan Dong, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Thermal rectification based on phonon hydrodynamics and thermomass theory

Published Online: May 20, 2016

Page range: 26 - 38

Received: Nov 01, 2014

Accepted: Mar 05, 2015

DOI: https://doi.org/10.1515/caim-2016-0004

Keywordsthermal rectification, thermomass theory, phonon hydrodynamics, phonon Boltzmann equation

© 2016 Yuan Dong, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
thermal rectification, thermomass theory, phonon hydrodynamics, phonon Boltzmann equation