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The storage capacity of a harmonically heated slab revisited. (English) Zbl 0918.73010

Summary: The physical origin of the well-known maximum occurring in the dynamic heat storage capacity of a harmonically excited slab is analysed in terms of the fundamental solutions of Fourier’s equation. We show that, in addition to this maximum, an infinite sequence of exponentially decaying lateral minima and maxima occurs, which are generated by a coherent superposition of two thermal waves propagating in opposite directions within the slab. By passing from parabolic to hyperbolic description of heat conduction, this effect becomes much more pronounced.

MSC:

74A15 Thermodynamics in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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