Non-Fourier Temperature Response in a Finite Medium under Oscillatory Heating

Abstract

The present work investigates analytically non-Fourier effects in an infinite plate as a finite medium subjected to a periodic heat flux using the hyperbolic heat conduction model. By comparing the results of the temperature profiles with those obtained from the Fourier parabolic heat conduction equation, the transition condition between the 'parabolic' and 'hyperbolic' behavior at the front and rear surfaces is obtained. The phase difference between the front and the rear surface after temperature wave propagation through the medium is also calculated numerically as a function of the relaxation Fourier number.