9853

Unsteady-State Interphase Diffusion

This Demonstration considers the mass transfer of a substance A between two immiscible solvents I and II. The concentration in both phases is plotted versus position for various values of the diffusion coefficients (in , and , time (in seconds), and Henry law constant (a dimensionless constant). When the concentration of A is continuous at the interface, which is not typical. The concentration profiles are solutions of the following diffusion equations and boundary conditions:
,
,
for ,
for , ,
at ,
at ,
at .
Using Laplace transforms, one can easily derive analytical expressions of the concentrations in phases I and II:
,
.

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DETAILS

R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, New York: Wiley, 1960.
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