Exact and numerical solutions for effective diffusivity and time lag through multiple layers

Roslyn Hickson, Steven Barry, Geoff Mercer


We consider diffusion through multiple layers, with application to heat transport. An exact solution is derived and the time lag for heat conduction across the layers is studied. We show the limitations of traditional methods of averaging the diffusivity, which are only applicable in the steady state or for numerous layers.

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DOI: http://dx.doi.org/10.21914/anziamj.v50i0.1386

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