The Validity of Using the Microscopic Hyperbolic Heat Conduction Model Under a Harmonic Fluctuating Boundary Heating Source

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 $frac{{bar omega C_l }}{G} >0.1$ . The phase shift between the electron-gas and solid-lattice temperatures is found to be ${tan}^-1 left( {frac{{bar omega C_l }}{G}} right)$ . This phase shift reaches a fixed value of 1.5708 rad at very large values of $frac{{bar omega C_l }}{G}$ . It is found that the use of the microscopic hyperbolic heat conduction model is essential when ¯ω>1×109 rad⋅s−1 for most metallic layers independent of their thickness.