Modified Solution of Homogeneous Surface Diffusion Model for Adsorption
Publication: Journal of Environmental Engineering
Volume 117, Issue 3
Abstract
The homogeneous surface diffusion model (HSDM) has been used extensively to model the dynamics of adsorption of organic compounds onto porous media in natural and engineered systems. A modified finite‐difference solution to the HSDM is developed in this paper for multicomponent adsorption in fixed beds. The primary difference between the algorithm presented here and that advanced previously is the alternate selection and structuring of the adsorbent particle boundary conditions. The resulting numerical solution addresses the problems of limited stability and computational inefficiency of the original finite‐difference scheme as illustrated in one‐, two‐, and five‐component sample simulations. Comparative sensitivity testing with respect to space and time‐step sizes also demonstrates a more clearly defined convergence for the modified solution. The computational speed and ease with which the algorithm can be adapted to a personal‐computer code also make it an attractive option alongside more sophisticated, though powerful, numerical techniques such as orthogonal collocation.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Crittenden, J. C., and Weber, W. J., Jr. (1978a). “Model for design of multicomponent adsorption systems.” J. Envir. Engrg. Div., ASCE, 104(6), 1175–1195.
2.
Crittenden, J. C., and Weber, W. J., Jr. (1978b). “Predictive model for design of fixed‐bed adsorbers: Parameter estimation and model development.” J. Envir. Engrg. Div., ASCE, 104(2), 185–197.
3.
Crittenden, J. C., Friedman, G., Hand, D. W., Berrigan, J., and Speth, T. (1985a). “Design of fixed beds to remove multicomponent mixtures of volatile organic chemicals.” Proc. Annual Conf. American Water Works Association, 1327–1346.
4.
Crittenden, J. C., Luft, P., and Hand, D. W. (1985b). “Prediction of multicomponent adsorption equilibria in background mixtures of unknown composition.” Water Res., 19(12), 1537–1458.
5.
Crittenden, J. C., Hutzler, N. J., Geyer, D. G., Oravitz, J. L., and Friedman, G. (1986). “Transport of organic compounds with saturated groundwater flow: Model development and parameter sensitivity.” Water Resour. Res., 22(3), 271–284.
6.
Crittenden, J. C., Speth, T., Hand, D. W., Luft, P. J., and Lykins, B. (1987). “Evaluating multicomponent competitive adsorption in fixed beds.” J. Envir. Engrg., ASCE, 113(6), 1363–1375.
7.
Crittenden, J. C., Wong, B. W. C., Thacker, W. E., Snoeyink, V. L., and Hinrichs, R. L. (1980). “Mathematical model of sequential loading in fixed‐bed adsorbers.” J. Water Pollution Control Fed., 52(11), 2780–2795.
8.
Fettig, J., and Sontheimer, H. (1987a). “Kinetics of adsorption on activated carbon: I. Single‐solute systems.” J. Envir. Engrg., ASCE, 113(4), 764–779.
9.
Fettig, J., and Sontheimer, H. (1987b). “Kinetics of adsorption on activated carbon: III. Natural organic material.” J. Envir. Engrg., ASCE, 113(4), 795–810.
10.
Hand, D. W., Crittenden, J. C., and Thacker, W. E. (1983). “User‐oriented batch reactor solutions to the homogeneous surface diffusion model.” J. Envir. Engrg. Div., ASCE, 109(1), 82–101.
11.
Liapis, A. I., and Rippin, D. W. T. (1977). “A general model for the simulation of multicomponent adsorption from a finite bath.” Chem. Engrg. Sci., 32(2), 619–627.
12.
Liu, K. T., and Weber, W. J., Jr. (1981). “Characterization of mass transfer parameters for adsorber modeling and design.” J. Water Pollution Control Fed., 53(10), 1541–1550.
13.
Mathews, A. P., and Zayas, I. (1989). “Particle size and shape effects on adsorption rate parameters.” J. Envir. Engrg., ASCE, 115(1), 41–55.
14.
Remson, I., Hornberger, G. M., and Molz, F. J. (1971). Numerical methods in subsurface hydrology. John Wiley & Sons, New York, N.Y.
15.
Rosen, J. B. (1954). “General numerical solutions for solid diffusion in fixed beds.” Industrial Engrg. Chem., 46(12), 1590–1594.
16.
Smith, E. H., and Weber, W. J., Jr. (1988). “Modeling activated carbon adsorption of target organic compounds from leachate‐contaminated groundwaters.” Envir. Sci. And Tech., 22(3), 313–321.
17.
Speitel, G. E., Jr., and Zhu, X. J. (1990). “Sensitivity analyses of biodegradation/adsorption models.” J. Envir. Engrg., ASCE, 116(1), 32–48.
18.
Speitel, G. E., Jr., Lu, C., Zhu, X. J., and Turakhia, M. H. (1989). “Biodegradation and adsorption of a bisolute mixture in GAC columns.” J. Water Pollution Control Fed., 61(2), 221–229.
19.
Traegner, U. K., and Suidan, M. T. (1989). “Parameter evaluation for carbon adsorption.” J. Envir. Engrg., ASCE, 115(1), 109–128.
20.
Van Vliet, B. M., and Weber, W. J., Jr. (1981). “Comparative performance of synthetic adsorbents and activated carbon for specific compound removal from wastewaters.” J. Water Pollution Control Fed., 53(11), 1585–1598.
21.
Wang, H. F., and Anderson, M. P. (1982). Introduction to groundwater modeling. W. H. Freeman and Co., San Francisco, Calif.
22.
Weber, W. J., Jr., and Crittenden, J. C. (1975). “MADAM I—A numeric method for design of adsorption systems.” J. Water Pollution Control Fed., 47(5), 924–940.
23.
Weber, W. J., Jr., and Smith, E. H. (1989). “The effects of humic background on GAC treatment efficiency.” Aquatic humic substances; influence on fate and treatment of pollutants, I. H. Suffet and P. MacCarthy, eds. Am. Chem. Soc., Washington, D.C. 501–532.
24.
Weber, W. J., Jr., and Wang, C. K. (1987). “A microscale system for estimation of model parameters for fixed‐bed adsorbers.” Envir. Sci. And Tech., 21(11), 1096–1102.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 117 • Issue 3 • May 1991
Pages: 320 - 338
Copyright
Copyright © 1991 ASCE.
History
Published online: May 1, 1991
Published in print: May 1991
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.