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EFFECTS OF THE BOUNDARY LAYER AND INTERFACIAL REACTION ON THE TIME LAG IN SUPPORTED LIQUID MEMBRANES
Korean Journal of Chemical Engineering, July 1995, 12(3), 391-395(5), 10.1007/BF02705775
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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.
References
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Cianetti C, Danesi PR, Solv. Extrac. Ion Exchange, 1, 565 (1983)
Crank J, "The Mathematics of Diffusion," 2nd ed., Clarendon Press, Oxford, UK (1975)
Danesi PR, Horwitz EP, Rickert PG, J. Phys. Chem., 87, 4708 (1983)
Danesi PR, Horwitz EP, Vandergrift GF, Chiarzia R, Sep. Sci. Technol., 16, 201 (1981)
Juang R, Ind. Eng. Chem. Res., 32, 911 (1993)
Kataoka T, Nischiki T, Ueyama K, Bull. Chem. Soc. Jpn., 55, 1306 (1982)
Largman T, Sifiniades S, Hydrometallurgy, 3, 153 (1978)
Spiegel MR, "Mathematical Handbook of Formula and Tables," McGraw Hill, New York, NY (1968)
Yi J, Tavlarides LL, AIChE J., 38, 1957 (1992)
