Universal Journal of Physics and Application Vol. 7(2), pp. 130 - 143
DOI: 10.13189/ujpa.2013.010213
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Multicomponent Mass Transfer Kinetics, Concentration Waves in the Diffusion Model for Nonselective Ion Exchange

Anatoliy Kalinitchev^*
Institute for Phys. Chem. & ElectroChem., Rus. Academia of Science, GSP, Leninsky Prospect, 31, 119991 Moscow, Russia

ABSTRACT

The aim of this theoretical investigation is to describe the i-component concentration waves behavior inside the nonselective ion exchanger matrix by using the modern Model for the multicomponent mass transfer kinetics. The author’s generalized theoretical Model for the detailed description of the properties of the bi-functional matrixes with the two functions: I-Selectivity & II – Diffusivity (Di for i-components) was proposed previously. This new generalized Model is assigned for the investigations of the multi-component mass transfer kinetics in the novel bi-functional materials including NanoComposites (NC). The partial case of the systems for the multicomponent diffusion kinetics in the ion exchangers without Selectivity factor (I) influence is considered here. For the such nonselective Ion Exchange (IEx) systems it is possible to investigate only one factor influence (II, Diffusion) with the Di–Diffusivities of i-components, in other words the partial case of the generalized Model mentioned. The results of the computer simulation of the ternary IEx system (A,B,C - ionic components) demonstrate the availability of the noval displacement effect during the propagation and interference of the two (fast and slow) diffusion B,C-concentration waves for the two kinds of B,C-ions introducing into the IEx matrix from the outer solution. It is shown that the B-accumulation occurs due to the interference of the B,C-waves. Computerized modeling for the two various shape of the resin: r-bead and ro-fiber shows that the new displacement effect is more appreciable for the r-bead of the ion exchangers. The explanations of the displacement effect including values of the diffusivities - DA, DB, DC are given.

KEYWORDS
Mass Transfer, Concentration Waves, Nano-Composites, Diffusion, Multi-Component Kinetics, IEx Matrix, Fixed Groups, New Displacement Effect

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Anatoliy Kalinitchev , "Multicomponent Mass Transfer Kinetics, Concentration Waves in the Diffusion Model for Nonselective Ion Exchange," Universal Journal of Physics and Application, Vol. 7, No. 2, pp. 130 - 143, 2013. DOI: 10.13189/ujpa.2013.010213.

(b). APA Format:
Anatoliy Kalinitchev (2013). Multicomponent Mass Transfer Kinetics, Concentration Waves in the Diffusion Model for Nonselective Ion Exchange. Universal Journal of Physics and Application, 7(2), 130 - 143. DOI: 10.13189/ujpa.2013.010213.