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Ion Exchange Kinetics: A Nonlinear Diffusion Problem

Helfferich, F. and Plesset, M. S. (1957) Ion Exchange Kinetics: A Nonlinear Diffusion Problem. California Institute of Technology , Pasadena, CA. http://resolver.caltech.edu/CaltechAUTHORS:EngDivRpt85-7

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Abstract

Ideal limiting laws are calculated for the kinetics of particle diffusion controlled ion exchange processes involving ions of different mobilities between spherical ion exchanger beads of uniform size and a well-stirred solution, The calculations are based on the nonlinear Nernst-Planck equations of ionic motion, which take into account the effect of the electric forces (diffusion potential) within the system. Numerical results for counter ions of equal valence and six different mobility ratios are presented. They were obtained by use of a digital computer. This approach contains the well-known solution to the corresponding linear problem as a limiting case. An explicit empirical formula approximating the numerical results is given.


Item Type:Report or Paper (Technical Report)
Additional Information:Office of Naval Research, Department of the Navy, Contract Nonr-220(28). Report No. 85-7, September, 1957.
Record Number:CaltechAUTHORS:EngDivRpt85-7
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:EngDivRpt85-7
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9361
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:16 Dec 2007
Last Modified:26 Dec 2012 09:48

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