Abstract
Modelling and subsequent solutions of hyperbolic heat conduction in a finite slab with surface radiation and periodic on–off heat flux are the subject of this work. The non-linear integral equation for the radiating surface temperature is derived by the Laplace transform and solved numerically. The results show that the present method solves the problem accurately. The surface radiation not only lowers the temperature, but also causes the non-symmetrical oscillation of the surface temperature for the case with periodic supplied heat flux around that for the case with stepwise supplied heat flux. When the period of the propagation–reflection cycle is not a multiple of the period of the supplied heat flux, the superposition of the reflected temperature wave in a finite slab results in the multiple jumps of the temperature wave. The jumps, the slope of the average temperature and the degree of the temperature oscillation increase with the increase of the amplitude.
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