Abstract

A hyperbolic heat-conduction equation is derived to express the temperature propagation in a solid by considering the finite velocity of a thermal impulse through the analogy of the electric transmission line of a very high frequency. By taking into account the solution of the hyperbolic heat-conduction equation obtained when an input of a sinusoidal temperature variation is applied at the boundary surface, the relation between the phase velocity of the temperature propagation and the thermal diffusivity is discussed. It is pointed out that the thermal diffusivity has some shifts towards the value larger than the conventional one derived from the classical heat-conduction equation of a parabolic type.

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