Non-Fourier heat conduction in a finite medium under periodic surface thermal disturbance

被引:103
作者
Tang, DW [1 ]
Araki, N [1 ]
机构
[1] SHIZUOKA UNIV,FAC ENGN,DEPT MECH ENGN,HAMAMATSU,SHIZUOKA 432,JAPAN
关键词
D O I
10.1016/0017-9310(95)00261-8
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper, the non-Fourier effect in a slab subjected to a periodic thermal disturbance is investigated by deriving the analytical solution of the hyperbolic heat conduction equation. The temperature profiles at the front and rear surfaces of the slab are calculated for various relaxation time. By comparing the results with those obtained from the Fourier parabolic heat conduction equation, a transition condition between the 'parabolic' and 'hyperbolic' behavior at both surfaces is obtained. The phase and amplitude difference between the front and the rear surface is calculated numerically as a function of the relaxation Fourier number and the results are shown graphically.
引用
收藏
页码:1585 / 1590
页数:6
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