A mathematical study of non-equimolar ternary gas diffusion |
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| Authors: | Ronald C Tai Hsin-Kang Chang |
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| Institution: | (1) Department of Civil Engineering, State University of New York at Buffalo, 14214 Buffalo, New York, USA;(2) Biomedical Engineering Unit and Department of Physiology, McGill University, H3G 1Y6 Montreal, Quebec, Canada |
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| Abstract: | In view of the increasing evidence that multicomponent diffusion effects could be significant in biological gas exchange systems,
a non-equimolar film model of multicomponent diffusion was derived. “Osmotic” ternary diffusion was studied for the gas systems
He−N2−O2, He−SF6−O2, and N2−SF6−O2. Diffusional fluxes and concentration profiles were calculated under both the “square-root” and the “product” flux conditions.
Results were also compared with those obtained using the equimolar flux condition. It was found that the greater the difference
of the diffusibilities between the two active components in a system, the greater the osmotic fluxes, and also the more alinear
the concentration profiles. These results support the suggestion that the “product” condition applies to molecular diffusion
in free space, the “square-root” condition to molecular diffusion in pores, and the equimolar flux condition to closed diffusion
systems. |
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