Abstract
A mathematical model is proposed to describe the effects of boundary layer resistance and interfacial reaction on the time lag in supported liquid membranes for metal ion separation. The model shows that the presence of boundary layer resistance and interfacial reaction delays the time-lag, compared with the limiting case that rapid equilibrium at the interfaces and negligible boundary layer resistance are assumed. Calculated result describes the expected trend and the model equation allows one to predict the lumped parameters which represent the ratios of the diffusion time in the membrane to the characteristic time for boundary layer transfer and interfacial reactions.
Article PDF
Avoid common mistakes on your manuscript.
References
Chiarzia, R., Castgnola, A., Danesi, P. R. and Horwitz, E. P., “Mass Transfer Rate through Solid Supported Liquid Membranes: Influence of Carrier Dimeriation and Feed Metal Concentration on Membrane Permeability”,J. Memb. Sci.,14, 1 (1983).
Cianetti, C. and Danesi, P.R., “Facilitated Transport of HNO3 through a Supported Liquid Membrane Containing a Tertiary Amine as Carrier”,Solv. Extrac. & Ion Exchange,1, 565 (1983).
Crank, J., “The Mathematics of Diffusion”, 2nd ed., Clarendon Press, Oxford, UK (1975).
Danesi, P. R., Horwitz, E. P. and Rickert, P. G., “Rate and Mechanism of Facilitated Americium Transport through a Supported Liquid Membrane Containing a Bifunctional Organophosphorus Mobile Carrier”,J. Phys. Chem.,87. 4708 (1983).
Danesi, P.R., Horwitz, E.P., Vandergrift, G.F. and Chiarzia, R., “Mass Transfer Rate through Solid Supported Liquid Membranes: Interfacial Chemical Reactions and Diffusion as Simultaneous Permeability Controlling Factors”,Sep. Sci. & Tech.,16, 201 (1981).
Juang, R., “Permeation and Separation of Zinc and Copper by Supported Liquid Membranes Using Bis(2-ethylhexyl) Phosphoric Acid as a Mobile Carrier”,Ind. Eng. & Chem. Research,32, 911 (1993).
Kataoka, T., Nischiki, T. and Ueyama, K., “Mechanism of Copper Transport through a Diaphragm-type Liquid Membrane”,Bull. Chem. Soc. Japan,55, 1306 (1982).
Largman, T. and Sifiniades, S., “Recovery of Copper (III) from Aqueous Solutions by Means of Supported Li quid Membranes”,Hydrometallurgy,3, 153 (1978).
Spiegel, M. R., “Mathematical Handbook of Formula and Tables”, McGraw Hill, New York, NY (1968).
Yi, J. and Tavlarides, L. L., “Chemically Active Liquid Membranes in Organic Supports for Metal Ion Separations”,AIChE J.,38, 1957 (1992).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yi, J. Effects of the boundary layer and interfacial reaction on the time lag in supported liquid membranes. Korean J. Chem. Eng. 12, 391–395 (1995). https://doi.org/10.1007/BF02705775
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02705775