Overshooting Phenomenon in the Hyperbolic Heat Conduction Model

Abstract

The overshooting phenomenon under the effect of the microscopic hyperbolic heat conduction model is investigated in a thin layer of metallic material. Maps of the regions within which the overshooting phenomenon has significant effects are presented. The two most important parameters that control the overshooting phenomenon are the initial first- and second-time rates of temperature change. However, in order for the overshooting to occur, higher values of the initial second time-rate of temperature change are required as compared to the values of the initial first time-rate of temperature change. Overshooting is more likely to occur in the parabolic microscopic heat conduction model than in the hyperbolic microscopic heat conduction model.