Parameter Evaluation for Carbon Adsorption
Publication: Journal of Environmental Engineering
Volume 115, Issue 1
Abstract
The dynamics of adsorption for various adsorbate‐adsorbent systems have been predicted successfully using the homogeneous surface diffusion model (HSDM). External film mass transfer and surface diffusion coefficients, as well as adsorption equilibrium parameters must be defined in order to solve the mathematical model. Simple batch experiments are usually performed to determine the mass transfer coefficients; whereas bottle tests are employed to obtain the equilibrium data. The parameter search procedure presented in this paper uniquely determines these parameters for the HSDM. No limitations are imposed on this search due to the dominance of one mass transport mechanism over the other, such as cases limited by either external film or surface diffusion resistance. Simple residual plots are used to examine the reliability of the estimated parameters and to judge whether the HSDM is the appropriate model for describing specific adsorption data.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bard, Y. (1974). Nonlinear parameter estimation. Academic Press, N.Y.
2.
Crittenden, J. C., and Weber, W. J., Jr. (1978). “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., et al. (1987). “Design considerations for GAC treatment of organic chemicals.” JAWWA, 79(1).
4.
Dennis, J. E., and Schnabel, R. B. (1983). Numerical methods for unconstrained optimization and nonlinear equations. Prentice‐Hall, Englewood Cliffs, N.J.
5.
Draper, N. R., and Smith, H. (1981). Applied regression analysis. John Wiley & Sons, Inc., New York, N.Y.
6.
Fettig, J. (1985). “Zur kinetik der adsorption organischer substanzgemische aus waessrigen loesungen an aktivkohle,” thesis presented to Karlsruhe University, at Karlsruhe, F.R.G., in partial fulfillment of the requirements for the degree of Doctor of Philosophy (in German).
7.
Fettig, J., and Sontheimer, H. (1987). “Kinetics of adsorption on activated carbon: I. Single‐solute systems.” J. Environ. Eng. Div., ASCE, 113(4).
8.
Hand, D. W., Crittenden, J. C., and Thacker, W. E. (1983). “User‐oriented batch reactor solutions to the homogeneous surface diffusion model.” J. Environ. Eng. Div., ASCE, 109(1), 82.
9.
International Mathematics and Statistical Library (IMSL) (1984). “Math/PC‐library.” IMSL, Houston, Tex.
10.
Levenberg, K. (1944). “A method for the solution of certain problems in least squares.” Quart. Appl. Math., 2, 164–168.
11.
Marquardt, D. (1963). “An algorithm for least‐squares estimation of nonlinear parameters.” SIAM J. Appl. Math., 11, 431–441.
12.
McKinnon, J. T. (1977). “An evaluation of equilibrium in activated carbon adsorption.” School of Civil Engineering, Georgia Institute of Technology.
13.
Sontheimer, H. et al. (1985). “Adsorptionsverfahren zur wasserreinigung.” Engler‐Bunte‐Institut at the University of Karlsruhe, F.R.G., 257.
14.
Thacker, W. E., Snoeyink, V. L., and Crittenden, J. C. (1981). “Modeling of activated carbon and coal gasification char adsorbents in single‐solute and bi‐solute systems.” Water Resources Center Research Report 161, Univ. of Illinois, Urbana, Ill.
15.
Weber, T. W., and Chakravorti, R. K. (1974). “Pore and solid diffusion models for fixed bed adsorbers.” J. Amer. Inst. Chem. Eng., 20(2), 228–238.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 115 • Issue 1 • February 1989
Pages: 109 - 128
Copyright
Copyright © 1989 ASCE.
History
Published online: Feb 1, 1989
Published in print: Feb 1989
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.