Wolfram Demonstrations Project

A slab of thickness

has an initial solute concentration profile given by:

where

is the distance from the exposed surface (i.e.,

) and

is the solute concentration in

The governing equation for unsteady-state diffusion is:

the exposed surface concentration is set to

. The rear surface (i.e., at

) is insulated. The diffusivity of the solute is to be set by the user (expressed in

). The Demonstration plots the concentration profile in the solute versus position in the slab at various instants.

C. J. Geankoplis, Transport Processes and Unit Operations, 3rd ed., Englewood Cliffs, NJ: Prentice Hall International Editions, 1993.

Contributed by: Housam Binous

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Unsteady-State Diffusion in a Slab