Multicomponent ion exchange kinetics of mass transfer in ionite matrix with displacement effect for diffusion concentration waves of component including nonmonotonous behaviour of the kinetic curves
Keywords:
multicomponent kinetics, diffusion masstransfer, kinetic curves, nonmonotonic behavior, displacement effect, concentration waves.
Abstract
There is presented the theoretical investigation on the basis of the computerized modeling of the
multicomponent mass transfer ion exchange (IEx) kinetics. The calculations show the propagation and interference of
the diffusion concentration waves of the i-components (1A,2B,3C) inside the matrix of r-bead, ro-fiber,or L-membrane.
It is shown the anomalous FB(T) kinetic curve behavior during time with the non-monotonous time dependence for
the various Di - diffusivity values. The reason for the non-monotonous kinetic behavior is explained theoretically by the
new displacement effect aroused due to the interaction of the two incoming B,C -waves for the B,C-components during
the i- waves propagation in matrixes mentioned.
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References
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transport: behavior of multicomponent concentration waves // Prot. Met. Phys. Chem.
Surf., 2011. Vol. 47 (6). P. 698–706.
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intraparticle rate control: models accounting for interaction in the solid phase. // Reactive
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including fast chemical reactions. // Reactive Polymers. 1987. Vol. 5. P. 237-252.
13. Helfferich F. and Hwang Y-I. Kinetics of acid uptake by weak base anion
exchangers. Mechanism of proton transfer. // Am.I.Ch.E. Symp. Ser. 1985. Vol. 81.
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System. Kinetics. // Ind. Eng. Chem. Res. J. 1987. Vol. 26(N6). P. 1179-1184.
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Vol. 39. P. 55-62.
16. Helfferich F. and Klein G., Multicomponent Chromatography. Theory of
Interference, New York: M. Dekker Inc, 1970. 360 pp.
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Adsorption Technology. G.Keller ed., Butterworth. Boston.1989. P. 1-11.
18. Industrial & Engineering Chemistry Research. J. (F. Helfferich Festschrift). Am.
Chem. Soc. J. 1995. Vol. 34. P. 2551-2922.
19. Tondeur D. and Bailly M., Unifying Concept in non-linear unsteady processes. PII.
Multi-component waves, competition and diffusion. // Chem. Eng. Process.1987. Vol. 22.
P. 91-105.
20. Tondeur D. Paradigms and paradoxes in modeling adsorption and chromatographic
separations. // Ind. & Eng. Chem. Res. 1995. Vol. 34. P. 2782-2788.
21. Hwang Y.L. Wave propagation in mass transfer processes: from chromatography to
distillation. // Ind.&Eng.Chem.Res.1995. Vol. 34. P. 2849-2864.
22. Percolation Process: Theory and Applications, ed.: Rodrigues, A.E., Tondeur, D.,
The Hague: Sijthoff & Nordhoff, 1981.
23. Kalinitchev A. Nonlinear theory of multi-component sorption dynamics and
chromatography. // Rus. Chem. Reviews. 1996. Vol. 65. P. 95-115.
24. Hoell W. and Kalinichev A. The theory of formation of surface complexes and its
application to the description of multicomponent dynamic sorption systems. // Rus. Chem.
Reviews. 2004. Vol. 73. P. 351-370.
25. Kalinitchev A. and Hoell W. Multi-component ion exchange dynamics with the
equilibria described by surface complexation theory in IEX2004, Ion Exchange
Technology for Today and Tomorrow, ed.: M. Cox, Soc. Chem. Ind., London. 2004.
P. 53-58.
26. Kalinitchev A. and Hoell W. Theoretical principles of multi-component frontal and
displacement elution chromatography on the basis of surface complexation theory, in IEX
2008, Recent Advances in IEx Theory&Practice, ed: M.Cox, Soc. Chem. Ind., London.2008. P. 85-93.
27. Whitham G., Linear and Nonlinear waves., Wiley. NY. 1974.
28. Prigogine I. and Herman R., Kinetic Theory of Vehicular Traffic.NY.:Elsevier. 1971.55 pp.
29. Dolgonosov A., Khamisov R., Krachak A. and Prudkovskiy A., Macroscopic model
for multispecies IEx kinetics. // React. Func. Polymers.1995. Vol. 28. P. 13-20.
transport: behavior of multicomponent concentration waves // Prot. Met. Phys. Chem.
Surf., 2011. Vol. 47 (6). P. 698–706.
2. Kalinitchev A. Mass Transfer Kinetics Modelling in Bi-functional Ion Exchangers
with Chemical Reactions on Active Centers. in: “IEX 2012. The Intern. IEx Confer.” .Thesis: pp. 123-124; El. Book, S. Fundamentals. M. Cox (Ed.), Soc. Chem. Ind., Lond.
2012. P. 1-18.
3. Kalinitchev A. Multicomponent Mass Transfer Kinetics in the Model of
NanoComposites with Bi-functional Matrix // Smart NanoComposites. Nova Sci. Publ.,
Ed. (in Chief.): K. Levine. 2013. Vol. 3, N2. P.1-18.
4. Kalinitchev A. New Kinetic сomputerized Model for Multicomponen Mass Transfer in
Bi-functional Matrix of Nanocomposites // Advances in Nanoparticles. AnP.Sci.Res.Publ. :
SCIRP. E-Journal. 2013. Vol. 2(2). P. 1-18.
5. Kalinitchev A. New model of multicomponent mass transfer kinetics in bi-functional
matrix of nanocomposites and results of simulation. // Prot. Met.&Phys. Chem. Surf.
(SpringerEdition). 2013. Vol. 49 (6). P. 627-638.
6. Kalinitchev A. Multicomponent mass transfer kinetics in Nanocomposite (NC) bifunctional
matrixes : NC selectivity and diffusion concentration waves. NanoTechnology
Review (NTREV) : from Divergence to Convergence, S. KOREA, De Gruiter Ed., 2014
(in publication).
7.. Kalinitchev A. Multicomponent Mass Transfer Kinetics, concentration waves in
the Diffusion Model for Nonselective Ion Exchange. // Universal Journal of Physics and
Application. 2013. Vol. 1(2). P. 130-143.
8. Haase R. Thermodynamics of Irreversible Processes. Ch..2; 4.M.:”Mir” Ed. 1967.
P. 544.
9. Helfferich F. Ion exchange kinetics – evolution of a theory. In “Mass Transfer &
Kinetics of IEx” (ed: L.Liberti&F.Helfferich) M.Sijthoff & Nordhoff . The Hague. 1983.
P. 157-179.
10. Petruzelli D., Helfferich F., Liberti L., Millar J. and Passino R. Kinetics of IEx with
intraparticle rate control: models accounting for interaction in the solid phase. // Reactive
Polymers. 1987. Vol. 7. P. 1-13.
11. Kalinitchev A., Investigation of intraparticle IEx kinetics in selective systems, in
(eds.: Ja. Marinsky & Y.Marcus) IEx & Solv. Extr. 12, M.Dekker, 1995. Ch.4. P.149-196.
12. Hwang Y-I. and Helfferich F. Generalized model for multispecies IEx kinetics
including fast chemical reactions. // Reactive Polymers. 1987. Vol. 5. P. 237-252.
13. Helfferich F. and Hwang Y-I. Kinetics of acid uptake by weak base anion
exchangers. Mechanism of proton transfer. // Am.I.Ch.E. Symp. Ser. 1985. Vol. 81.
P. 17-27.
14. Yoshida H., Kataoka T., Intraparticle Ion Exchange Mass Transfer in Ternary
System. Kinetics. // Ind. Eng. Chem. Res. J. 1987. Vol. 26(N6). P. 1179-1184.
15. Yoshida H., Kataoka T., Intraparticle Ion Exchange Mass Transfer in Ternary
System: Theoretical Analysis of Concentration Profiles Kinetics. // Chem. Eng. J. 1988.
Vol. 39. P. 55-62.
16. Helfferich F. and Klein G., Multicomponent Chromatography. Theory of
Interference, New York: M. Dekker Inc, 1970. 360 pp.
17. Helfferich F. Coherence: Power and Challenge of a new Concept. New direction in
Adsorption Technology. G.Keller ed., Butterworth. Boston.1989. P. 1-11.
18. Industrial & Engineering Chemistry Research. J. (F. Helfferich Festschrift). Am.
Chem. Soc. J. 1995. Vol. 34. P. 2551-2922.
19. Tondeur D. and Bailly M., Unifying Concept in non-linear unsteady processes. PII.
Multi-component waves, competition and diffusion. // Chem. Eng. Process.1987. Vol. 22.
P. 91-105.
20. Tondeur D. Paradigms and paradoxes in modeling adsorption and chromatographic
separations. // Ind. & Eng. Chem. Res. 1995. Vol. 34. P. 2782-2788.
21. Hwang Y.L. Wave propagation in mass transfer processes: from chromatography to
distillation. // Ind.&Eng.Chem.Res.1995. Vol. 34. P. 2849-2864.
22. Percolation Process: Theory and Applications, ed.: Rodrigues, A.E., Tondeur, D.,
The Hague: Sijthoff & Nordhoff, 1981.
23. Kalinitchev A. Nonlinear theory of multi-component sorption dynamics and
chromatography. // Rus. Chem. Reviews. 1996. Vol. 65. P. 95-115.
24. Hoell W. and Kalinichev A. The theory of formation of surface complexes and its
application to the description of multicomponent dynamic sorption systems. // Rus. Chem.
Reviews. 2004. Vol. 73. P. 351-370.
25. Kalinitchev A. and Hoell W. Multi-component ion exchange dynamics with the
equilibria described by surface complexation theory in IEX2004, Ion Exchange
Technology for Today and Tomorrow, ed.: M. Cox, Soc. Chem. Ind., London. 2004.
P. 53-58.
26. Kalinitchev A. and Hoell W. Theoretical principles of multi-component frontal and
displacement elution chromatography on the basis of surface complexation theory, in IEX
2008, Recent Advances in IEx Theory&Practice, ed: M.Cox, Soc. Chem. Ind., London.2008. P. 85-93.
27. Whitham G., Linear and Nonlinear waves., Wiley. NY. 1974.
28. Prigogine I. and Herman R., Kinetic Theory of Vehicular Traffic.NY.:Elsevier. 1971.55 pp.
29. Dolgonosov A., Khamisov R., Krachak A. and Prudkovskiy A., Macroscopic model
for multispecies IEx kinetics. // React. Func. Polymers.1995. Vol. 28. P. 13-20.
Published
2019-11-19
How to Cite
Kalinitchev, A. I. (2019). Multicomponent ion exchange kinetics of mass transfer in ionite matrix with displacement effect for diffusion concentration waves of component including nonmonotonous behaviour of the kinetic curves. Sorbtsionnye I Khromatograficheskie Protsessy, 14(5). Retrieved from https://journals.vsu.ru/sorpchrom/article/view/1545
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