Investigation of highly non-linear dual-phase-lag model in nanoscale solid argon with temperature-dependent properties

The one-dimensional non-linear non-Fourier heat conduction within a thin film of solid argon is numerically investigated under the framework of the Dual-Phase-Lagging (DPL) model including the boundary phonon scattering. The thermal properties of the solid argon including the thermal conductivity and sound group velocity are considered to be temperature-dependent, and the results are compared with those obtained from the Molecular-Dynamics simulation for the following cases: (I) constant applied temperature and (II) constant applied heat flux at the left boundary. In addition, each case is studied under two conditions of constant and temperature-dependent volumetric heat capacity. It is concluded that the combination of the DPL model with the mixed-type temperature boundary condition is able to accurately predict the heat flux and temperature distribution obtained from the molecular dynamics simulation. It is also found that using the temperature jump boundary condition along with the DPL model is essential to precisely capture the nanoscale heat transport. The results of our simulation showed that the Knudsen number increases up to 3.86 near right boundary for the temperature dependent volumetric heat capacity.