The Validity of Using the Microscopic Hyperbolic Heat Conduction Model Under a Harmonic Fluctuating Boundary Heating Source
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- 作者：M. Naji ; M. A. Al-Nimr and M. Hader
- 关键词：hyperbolic microscopic model ; hyperbolic two ; step heat conduction model ; macroscopic heat conduction ; microscopic heat conduction ; two ; step heat conduction model
- 刊名：International Journal of Thermophysics
- 出版时间：2003
- 出版年：2003
- 期刊代码：33_0195928X
- 类别：ch
- 卷：24
- 期：2
- 页码：545-557
- 数据来源：sp
摘要
The validity of using the microscopic hyperbolic heat conduction model under a harmonic fluctuating boundary heating source is investigated. It is found that using the microscopic hyperbolic heat conduction model is essential when $\frac{{\bar \omega C_l }}{G} >0.1$\frac{{\bar \omega C_l }}{G} >0.1. The phase shift between the electron-gas and solid-lattice temperatures is found to be tan-1 ( \frac[`(w)] Cl G ){tan}^-1 \left( {\frac{{\bar \omega C_l }}{G}} \right). This phase shift reaches a fixed value of 1.5708 rad at very large values of \frac[`(w)] Cl G\frac{{\bar \omega C_l }}{G}. It is found that the use of the microscopic hyperbolic heat conduction model is essential when ¯>1×109 rads–1 for most metallic layers independent of their thickness.