Modeling of Effective Thermal Conductivities of Thin Films and Nanowires by Boltzmann Transport Equation
A ballistic-diffusive heat conduction model is established from the Boltzmann transport equation by a coarse-graining method developed in the present work. This model avoids the infinite heat propagation speed which is the drawback of the Fourier law by taking into account the memory effect of the nanoscale heat conduction. It also reflects the size effect by expressing the effective heat conductivity as the function of the Knudsen number, which shows a good agreement with the experimental results for thin silicon films and nanowires in the nanoscale regime. Furthermore, we show that this ballistic-diffusive heat conduction model complies with the Galileo’s principle of relativity.
Mingtian Xu
Institute of Thermal Science and Technology Shandong University Jinan, China, 250061
国际会议
The Ninth Asian Thermophysical Properties Conference(第九届亚洲热物理性能会议 ATPC 2010)
北京
英文
769-774
2010-10-19（万方平台首次上网日期，不代表论文的发表时间）