Abstract
This study considers a two layer composite system in which transport within one layer is governed by pure diffusion and transport within the second layer is governed by both perfusion and diffusion. Previous solutions to this situation have approximated the layer without perfusion by using a small non-zero value of the perfusion coefficient. This study provides an exact one dimensional solution to a two layer composite system in which one layer has a high perfusion rate and the adjacent layer has a zero perfusion value. During the solution development, which uses the separation of variables method, the parametric constants and the perfusion term are coupled directly to the transient component of the governing equation. This is done to isolate the spatially diffusive term. The non-dimensional solution is developed symbolically and an example test case is provided to show the transient behavior of the solution using the first 20 terms of the series.
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