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Absorption-desorption in a sphere with consequent change in dimension, and constant concentration on the surface

✍ Scribed by A. Benghalem; J. Bouzon; J.M. Vergnaud

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
611 KB
Volume
31
Category
Article
ISSN
0014-3057

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✦ Synopsis

Mathematical treatment of diffusion with the second Fick's equation is only feasible when the amount of substance transferred is so low that the change in dimension is negligible. A more general theory of diffusion is established in the case of a sphere by considering the radial diffusion and the subsequent change in dimension, with an infinite coefficient of surface matter transfer. The problem is studied in the case of absorptiondesorption histories, by considering various values of the maximum relative volume expansion, this maximum being obtained when the sphere is saturated by the substance.

between the volumes of the bead saturated with the liquid a.nd the empty bead Au, AI = increments of space and time.

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