Nanoscale Heat Transfer using Phonon Boltzmann Transport Equation.

摘要

COMSOL Multiphysics was used to solve a phonon Boltzmann transport equation (BTE) for nanoscale heat transport problems. One-dimensional steady-state and transient BTE problems were successfully solved based on finite element and discrete ordinate methods for spatial and angular discretizations, respectively by utilizing the built-in feature of the COMSOL Coefficient Form of PDE. A sensitivity study was conducted with various discretization refinements for different values of the Knudsen number, which is a measure of the nanoscale regime. It was found that sufficient refinement for angular discretization is critical in obtaining accurate solutions of the BTE.