Size Effect of Phonon Heat Transport in Nanomaterial for Square Structure

作者:Han Ya Fen; Xia Xin Lin*; Liu Hai Dong
来源:Journal of Computational and Theoretical Nanoscience, 2014, 11(3): 702-705.
DOI:10.1166/jctn.2014.3414

摘要

To investigative the size in cross and parallel heat transport direction effect of temperature distribution, the phonon heat transport in square of silicon is studied using the D2Q9 model of lattice Boltzmann method (LBM). The results show that the temperature profile in the square domain changes with the change of side length. The temperature jump at boundaries depends on the characteristic length in the heat transport direction. The temperature jump at different location of cross heat transport direction in the square is disaccordant when kn is larger than 0.5. But the total values of temperature jump are same and depend on the length in heat transport direction. When kn reduces to 0.1, the phonons scattering effect at the boundaries of cross heat transport direction disappear. When kn continuous reduces to 0.01, the phonon-boundary scattering effect in parallel heat transport direction disappears, too, and temperature distribution in cross heat transport direction is accordant.