Abstract:
Based on hyperbolic heat conduction equation accounting for the phase lag between the heat flux and the temperature, the temperature responses of thin plate subjected to a periodic heat flux disturbance are investigated. Firstly, by using the method of separation of variables, the heat conduction equation is solved and the distribution of the heat flux is obtained. Then, an analytic solution of temperature field in the thin plate is found by using the energy conservation equation. The variation of the temperature response depending on the heat flux relaxation parameter and the frequency of heat flux at the boundary are examined quantitatively. A comparison of the present results with those obtained by using Fourier heat conduction equation is given. It shows that there exists a big difference between the temperature response obtained hyperbolic heat conduction model and that obtained by using classical Fourier model when the plate is excited by a heat flux with high frequency.