Analytical solution to an axial dispersion model for the fixed-bed adsorber

AIChE Journal

Volumn 46, Issue 6, 2000, Pages 1168-1176

  Liao, Hsin Tzu ^a   Shiau, Ching Yeh ^b  

^a KAO YUAN INSTITUTE OF TECHNOLOGY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATED CARBON; ADSORPTION ISOTHERMS; DISPERSIONS; FLUIDIZED BEDS; MASS TRANSFER; MATHEMATICAL MODELS; PHENOLS; RESINS;

AXIAL DISPERSION MODEL; FIXED BED ABSORBER; PECLET NUMBER; RETARDATION COEFFICIENT; VARIABLES METHOD;

ADSORPTION;

ACTIVATED CARBON; PHENOL;

ADSORPTION; DISPERSION MODELING; FIXED BED; PECLET NUMBER;

ADSORPTION; ARTICLE; CURVE FITTING; DIFFUSION COEFFICIENT; DISPERSION; DYNAMICS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL;

EID: 0033627075     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690460609     Document Type: Article

References (23)

1. American Public Health Association (APHA), Standard Methods for the Examination of Water and Wastewater, 15th ed., Yearbook Publ., Chicago, IL 489 (1981).
2. Carlaw, H. S., and J. C. Jaeger, Conduction of Heat in Solids, Oxford University Press, 2nd ed., 492 (1959).
3. Chen, T. L., and T. J. Hsu, "Application of Fast Fourier Transform to Nonlinear Fixed-Bed Adsorption Problems," AIChE J., 35, 332 (1989).
4. Cooper, R. S., and D. A. Liberman, "Fixed-Bed Adsorption Kinetics with Pore Diffusion Control," Ind. Eng. Chem. Fundam., 9, 620 (1970).
5. Finlayson, B. A., "Packed Bed Reactor Analysis by Orthogonal Collocation," Chem. Eng. Sci., 26, 1081 (1971).
6. Fried, J. J., and M. A. Combarnous, "Dispersion in Porous Media," Advances in Hydroscience, 7, 169 (1971).
7. Furusawa, T., and J. M. Smith, "Fluid-Particle and Intraparticle Mass Transport in Slurries," Ind. Eng. Chem. Fundam., 12, 197 (1973).
8. Garg, D. R., and D. M. Ruthven, "Theoretical Prediction of Breakthrough Curves for Molecular Sieve Adsorption Columns: I. Asymptotic Solutions," Chem. Eng. Sci., 28, 791 (1973).
9. Hashimoto, K., K. Miura, and M. Tsukano, "Experimental Verification of Design Methods for Liquid Phase Fixed-Bed Adsorbers," J. Chem. Eng. Japan, 10, 27 (1977).
10. Hsu, J. T., and J. S. Dranoff, "Numerical Inversion of Certain Laplace Transform by the Direct Application of Fast Fourier Transform (FFT) Algorithm," Comput. Chem. Eng., 11, 101 (1987).
11. Lapidus, L., and N. R. Amundson, "Mathematics of Adsorption in Beds: VI. The Effect of Longitudinal Diffusion in Ion Exchange and Chromatographic Columns," J. Phys. Chem., 56, 984 (1952).
12. Liapis, A. I., and D. W. T. Rippin, "The Simulation of Binary Adsorption in Activated Carbon Columns Using Estimates of Diffusional Resistance within the Carbon Particles Derived From Batch Experiments," Chem. Eng. Sci., 33, 593 (1978).
13. Merk, W., W. Fritz, and E. U. Schlünder, "Competitive Adsorption of Two Dissolved Organics onto Activated Carbon: III," Chem. Eng. Sci., 36, 743 (1981).
14. Neretnieks, I., "Analysis of Some Adsorption Experiments with Activated Carbon," Chem. Eng. Sci., 31, 465, 1029 (1976).
15. Noll, K. E., V. Gounaris, and W. S. Hou, Adsorption Technology for Air and Water Pollution Control, Lewis Publishers, Chelsea, MI, 141 (1992).
16. Raghavan, N. S., and D. M. Ruthven, "Numerical Simulation of a Fixed-Bed Adsorption Column by the Method of Orthogonal Collocation," AIChE J., 29, 922 (1983).
17. Rasmuson, A., "Exact Solution of a Model for Diffusion and Transient Adsorption in Particles and Longitudinal Dispersion in Packed Beds," AIChE J., 27, 1032 (1981).
18. Rosen, J. B., "General Numerical Solution for Solid Diffusion in Fixed Beds," Ind. Eng. Chem., 46, 1590 (1954).
19. Sheindorf, C., M. Rebhun, and M. Sheintuch, "Prediction of Breakthrough Curves from Fixed-Bed Adsorbers with Freundlich Multisolute Isotherm," Chem. Eng. Sci., 38, 335 (1983).
20. Villadsen, J. V., and W. E. Stewart, "Solution of Boundary-Value Problems by Orthogonal Collocation," Chem. Eng. Sci., 22, 1483 (1967).
21. Wakao, N., and T. Funazkri, "Effect of Fluid Dispersion Coefficients on Particle-to-Fluid Mass Transfer Coefficients in Packed Beds," Chem. Eng. Sci., 33, 1375 (1967).
22. Weber, T. W., and R. K. Chakravorti, "Pore and Solid Diffusion Models for Fixed-Bed Adsorbers," AIChE J., 20, 228 (1974).
23. Zheng, Y., and T. Gu, "Analytical Solution to a Model for the Startup Period of Fixed-bed Reactors," Chem. Eng. Sci., 51, 3773 (1996).