Thermal wave interference as the origin of the overshooting phenomenon in dual-phase-lagging heat conduction

In the present work, the overshooting phenomenon is investigated based on the one-dimensional dual-phase-lagging heat conduction model. The thermal wave interference is found to trigger the overshooting of temperature field. A condition for the occurrence of overshooting phenomenon is established for the one-dimensional dual-phase-lagging heat conduction in a finite medium. According to this condition, the overshooting phenomenon may occur in heat conduction across gold films with the thickness ranging from 4.8555 nm to 19.581 μm.