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The Pigford Problem

number of points x
2
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8
P
1
x
FE`xx$$4788632947341542928875224937054536742626
y
FE`yy$$4788632947341542928875224937054536742626
Many mass transfer operations involve diffusion in fluids in laminar flowfor 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.
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