NDLI: Heat Conduction Law in Dielectric Nanosystems Based on the Thermomass Theory

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Dong, Yuan Cao, Bing-Yang Guo, Zeng-Yuan
Copyright Year	2011
Abstract	In this paper a general heat conduction law has been proposed based on the thermomass theory, which can be derived from the Boltzmann equation for phonons in dielectrics. The Boltzmann equation for phonons gives a balance between the drift and friction parts of the distribution function. When the normal scattering term is omitted in the friction part, the Fourier’s law and Cattaneo-Vernotte thermal wave equation can be obtained by the zeroth order and first order approximations of the drift term, respectively. A second order approximation of the drift part lead to the thermomass theory based general heat conduction law, which is a nonlocal damped heat wave equation and consists of driving, inertial and resistant forces for phonon gas motion. In nanosystems, the normal scattering term of the friction part reflecting the boundary effect is required and induces a Laplacian term in governing equations by solving the phonon Boltzmann equation. A general law containing the viscosity of the thermomass fluid is obtained in analogy with the Brinkman extension in porous hydrodynamics. The general law is then applied to investigate the effective thermal conductivity of a nanosystem, which covers the effect of the ultra-high heat flux and the boundary confinement and scattering. The present research not only presents a powerful heat conduction law for heat transport in nanosystems, but also bridges the microscopic Boltzmann transport equation and the macroscopic gas dynamics of phonons in terms of the thermomass theory.
Sponsorship	Heat Transfer Division
Starting Page	565
Ending Page	570
Page Count	6
File Format	PDF
ISBN	9780791844632
DOI	10.1115/ICNMM2011-58223
Volume Number	ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels, Volume 1
Conference Proceedings	ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels
Language	English
Publisher Date	2011-06-19
Publisher Place	Edmonton, Alberta, Canada
Access Restriction	Subscribed
Subject Keyword	Viscosity Radiation scattering Bridges (structures) Approximation Scattering (physics) Dielectric materials Phonons Wave equations Gasdynamics Hydrodynamics Heat flux Heat conduction Heat Fluids Friction Electromagnetic scattering Thermal conductivity
Content Type	Text
Resource Type	Article

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