WOLFRAM|DEMONSTRATIONS PROJECT

The Pigford Problem

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number of points x
2
3
4
5
6
7
8
P
1
x
FE`xx$$4788632947341542928875224937054536742626
y
FE`yy$$4788632947341542928875224937054536742626
Many mass transfer operations involve diffusion in fluids in laminar flow—for example, absorption without chemical reaction of a gaseous compound
A
in a thin liquid film of a nonvolatile compound
B
flowing vertically. Another example is laminar flow of compound
A
through the membrane walls of the channel. The first case has applications in chemical engineering and environmental science; the second, in medicine and biomedical engineering. Both cases can be treated by the same equations, based on the solution given by Pigford in 1941.