Present results are relevant for the calculation on the partial pressure of oxygen, available at different depths into the corneal tissue behind contact lenses of different oxygen transmissibility.
In this work we study
the diffusion–adsorption process in
porous media and analyze the effect that the irregular geometry of
the pores has on the efficiency of two types of adsorption processes:
(a) when there is a net flux along the pore and (b) when the pore
is completely saturated. In the first case, we measured the mass transfer
coefficient, which is the constant of proportionality between the
net flux and the difference of concentration. In the second case,
we measure the effectiveness factor, which is the ratio between the
actual rate of adsorption and the rate which would be achieved if
the entire surface were at the same external concentration. In order
to perform this analysis, we use a generalized Fick–Jacobs
equation that considers the net effect of diffusion and adsorption
along the direction of transport. For this analysis we have used wedge-shaped
and conical pores, due to the simplicity of the treatment and their
importance in the elaboration of a new brand of artificial materials.
We have proved that the enhancement or diminution of the mass transfer
coefficient or the effectiveness factor depend upon the specific rate
of adsorption; therefore, they can be controlled using our model as
a prediction tool in order to build artificial materials with a specific
output flux of material. Additionally, our work allows to find how
the Thiele modulus locally depends on the geometry of the pore for
a linear reaction.
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