The validity of using the microscopic hyperbolic heat conduction model under a harmonic fluctuating boundary heating source

Abstract

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.