Transient Diffusion in a Bilayer System

This Demonstration lets you solve two partial differential equations that describe dynamic diffusive transport in a bilayer system.

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Many of the transient models in transport phenomena can be expressed as partial differential equations. In this case the equations in dimensionless form are
,
,
with these boundary conditions:
at ,
;
at ,
,
;
at ,
,
and the initial conditions
,
.
This mathematical model describes dynamic diffusive transport in a system consisting of two layers.
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