Modeling fixed-bed adsorption columns through orthogonal collocations on moving finite elements

Computers and Chemical Engineering

Volumn 21, Issue 6, 1997, Pages 641-660

  Kaczmarski, Krzysztof ^a,b   Mazzotti, Marco ^b   Storti, Giuseppe ^c   Morbidelli, Massimo ^b  

^a RZESZOW UNIVERSITY OF TECHNOLOGY   (Poland)

^b POLITECNICO DI MILANO   (Italy)

^c UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; INTEGRATION; MATHEMATICAL MODELS;

EQUILIBRIUM THEORY; FIXED BED ADSORPTION COLUMNS; MOVING GRID TECHNIQUE; ORTHOGONAL COLLOCATION METHOD; SHOCK LAYER THEORY;

ADSORPTION;

ADSORPTION; BEDS; MODELLING;

EID: 0031079610     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(96)00300-6     Document Type: Article

References (30)

1. Adjerid, S. and Flaherty, J.E. (1986) A moving finite element method with error estimation and refinement for one-dimensional time dependent partial differential equations. SIAM J. Numer. Analysis 23, 778-796.
2. Babuska I., J. Chandra and J. E. Flaherty, (Eds), Adaptive Computational Method for Partial Differential Equations, Society for Industrial and Applied Mathematics, Philadelphia (1983).
3. Berninger, A.J., Whitley, R.D., Zhang, X. and Wang, N.H.L. (1991) A versatile model for simulation of reaction and nonequilibrium dynamics in multicomponent fixed-bed adsorption processes. Comput. Chem. Eng. 15, 749-768.
4. Ganetsos G. and P. E. Barker, Preparative and Production Scale Chromatography. Marcel Dekker, New York (1993).
5. Gardini, L., Servida, A., Morbidelli, M. and Carrà, S. (1985) Use of orthogonal collocation on finite elements with moving boundaries for fixed bed catalytic reactor simulations. Comput. Chem. Eng. 9, 1-17.
6. Guiochon, G., Application of the shock-layer theory in frontal analysis and displacement chromatography, AIChE 1993 Annual Meeting, St. Louis, Missouri (1993).
7. Guiochon, G. and Ghodbane, S. (1988) Computer simulation of the separation of a two-component mixture in preparative scale liquid chromatography. J. Phys. Chem. 92, 3682-3686.
8. Helfferich F. G. and G. Klein, Multicomponent Chromatography: Theory of Interference, Marcel Dekker, New York (1970).
9. Hindmarsh, A. C., Livermore solver for ordinary differential equations. Technical Report No. UCID-3001, Lawrence Livermore Laboratory, Livermore, CA (1972).
10. Kasten, P.R., Lapidus, L. and Amundson, N.R. (1951) Mathematics of adsorption in beds, V. Effect of intraparticle diffusion in flow systems in fixed beds. J. Phys. Chem. 56, 683
11. Lapidus, L. and Amundson, N.R. (1952) Mathematics of adsorption in beds, VI. The effect of longitudinal diffusion in ion exchange and chromatographic columns. J. Phys. Chem. 56, 984
12. Lee, W.-C., Tsai, G.-J. and Tsao, G.T. (1993) Analysis of chromatography by plate theory. Sep. Technol. 3, 178-197.
13. Liapis, A.I. and Rippin, D.W.T. (1977) A general model for the simulation of multi-component adsorption from a finite bath. Chem. Eng. Sci. 32, 619-627.
14. Ma, Z. and Guiochon, G. (1991) Application of orthogonal collocation on finite elements in the simulation of non-linear chromatography. Comput. Chem. Eng. 13, 415-426.
15. Mazzotti, M., Storti, G. and Morbidelli, M. (1994) Shock layer analysis in multicomponent chromatography and countercurrent adsorption. Chem. Eng. Sci. 49, 1337-1355.
16. Miller, K. (1981) Moving finite element II. SIAM J. Numer. Analysis 18, 1032-1057.
17. Miller, K. and Miller, R.N. (1981) Moving finite element I. SIAM J. Numer. Analysis 18, 1019-1031.
18. Morbidelli, M., Servida, A., Storti, G. and Carrà, S. (1982) Simulation of multicomponent adsorption beds. Model analysis and numerical solution. Ind. Eng. Chem. Fundamen. 21, 123-133.
19. Morbidelli, M., Storti, G., Carrà, S., Niederjaufner, G. and Pontoglio, A. (1984) Study of a separation process through adsorption on molecular sieves. Application to a chlorotoluene isomers mixture. Chem. Eng. Sci. 39, 383-393.
20. Rhee, H.-K. and Amundson, N.R. (1974) Shock layer in two-solute chromatography: effect of axial dispersion and mass transfer. Chem. Eng. Sci. 29, 2049-2060.
21. Rhee, H.-K. and Amundson, N.R. (1982) Analysis of multicomponent separation by displacement development. AIChE J. 28, 423-433.
22. Rhee, H.-K., Aris, R. and Amundson, N.R. (1970) On the theory of multicomponent chromatography. Phil. Trans. Roy. Soc. London A267, 419-455.
23. Ruthven, D. M., Principles of Adsorption and Adsorption Processes. John Wiley, New York (1984).
24. Ruthven, D.M. and Ching, C.B. (1989) Counter-current and simulated counter-current adsorption separation processes. Chem. Eng. Sci. 44, 1011-1038.
25. Sereno, C., Rodrigues, A. and Villadsen, J. (1991) The moving finite element method with polynomial approximation of any degree. Comput. Chem. Engng. 15, 25-33.
26. Storti G., M. Masi and M. Morbidelli, Modeling of countercurrent adsorption processes, in Preparative and Production Scale Chromatography (Edited by G. Ganetsos and P.E. Barker). Marcel Dekker, New York (1993a).
27. Storti, G., Mazzotti, M., Morbidelli, M. and Carrà, S. (1993b) Robust design of binary countercurrent adsorption separation processes. AIChE J. 39, 471-492.
28. Tondeur D. and M. Bailly, Design methods for ion-exchange processes based on the Equilibrium Theory, in Ion Exchange: Science and Technology (Edited by A.E. Rodrigues), NATO ASI Series, N 107. Martinus Nijhoff, Dordrecht (1986).
29. Villadsen J. V. and M. L. Michelsen, Solution of Differential Equation Model by Polynomial Approximation. Prentice-Hall, Englewood Cliffs, New Jersey (1978).
30. Yu, Q. and Wang, N.-H.L. (1989) Computer simulations of multicomponent ion exchange and adsorption in fixed beds - Gradient-directed moving finite element method. Comput. Chem. Eng. 13, 915-926.