Longitudinal and transverse modes of thermal disturbances in isotopically pure alkali-halide crystals are derived from phonon hydrodynamics. Guyer-Krumhansl (GK) model of phonon scattering is first recovered by relating the first and second viscosity to the relaxation times. Helmholtz potentials are then introduced to split the two modes from the heat flux vector. It has been found that the scalar potential coincides with the heat equation in the dual-phase-lag model, while the vector potential describes dispersive transverse phonons and introduces a new type of equation in microscale heat transfer.
Longitudinal and Transverse Phonon Transport in Dielectric Crystals
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 25, 2012; final manuscript received November 4, 2013; published online January 2, 2014. Assoc. Editor: Zhuomin Zhang.
- Views Icon Views
- Share Icon Share
- Search Site
Tzou, D. Y. (January 2, 2014). "Longitudinal and Transverse Phonon Transport in Dielectric Crystals." ASME. J. Heat Transfer. April 2014; 136(4): 042401. https://doi.org/10.1115/1.4026005
Download citation file:
- Ris (Zotero)
- Reference Manager