Abstract
Mathematical modeling of liquid phase adsorption of phenols in fixed beds of granular activated carbon was investigated. The model considered the effects of axial diffusion in the fluid, the external film and internal diffusional mass transfer resistances of the particles, and the nonlinear adsorption isotherm of Freundlich. It was shown that the analysis of a complex multicomponent adsorption system could be simplified by converting it into a pseudo single-component adsorption system. This was achieved by lumping the concentrations of the components together as one single parameter, chemical oxygen demand. The resulting model equations were solved using the orthogonal collocation method and third-order semi-implicit Runge-Kutta method combined with a step-size adjustment strategy. Excellent agreement between simulated results and pilot plant data was obtained. Also, the breakthrough profiles revealed the formation of a primary monomolecular layer on the adsorbent surface.
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Crittenden, J.C., Mathematical Modelling of Fixed Bed Adsorber Dynamics—Single Component and Multi-component, Ph.D. Dissertation, Michigan: Univ. of Michigan, 1976.
Crittenden, J.C. and Weber, W.J., Jr., Predictive Model for the Design of Fixed-Bed Adsorbers: Parameter Estimation and Model Development, J. Environ. Eng. Div., ASCE, 1978, no. EE2, Proc. Paper 13685, p. 104.
Liapis, A.I. and Rippin, D.W.J., A General Model for the Simulation of Multi-Component Adsorption from a Finite Bath., Chem. Eng. Sci., 1977, vol. 32, no. 4, p. 619.
Balzli, M.W., Liapis, A.I., and Rippin, D.W.J., Applications of Mathematical Modelling to the Simulation of Multi-Component Adsorption in Activated Carbon Columns., Trans. I. Chem., Ser. E., 1978, vol. 56, p. 145.
Mansour, A., von Rosenberg, D.U., and Sylvester, N.D., Numerical Solution of Liquid Phase Multi-Component Adsorption in Fixed Beds, AIChE J., 1982, vol. 28, no. 5, p. 765.
Raghavan, N.S. and Ruthven, D.M., Numerical Simulation of a Fixed-Bed Adsorption Column by the Method of Orthogonal Collocation, AIChE J., 1983, vol. 29, no. 6, p. 922.
Casey, J.T. and Liapis, A.I., Fixed Bed Sorption with Recycle Part I: Mathematical Model and Single Reversible Reactions, Chem. Eng. Res. Des., 1984, vol. 62, p. 315.
Nagel, G. and Kluge, G., Modelling of Non-Isothermal Multi-Component Adsorption in Non-Adiabatic Fixed Beds, Hung. J. Ind. Chem. Veszprem., 1987, vol. 15, p. 63.
Shu-Chieh, W. and Tien, C., Further Work on Multi-Component Liquid Phase Adsorption in Fixed Beds, AIChE J., 1982, vol. 28, no. 4, p. 565.
Thomas, W.J. and Lombardi, J.L., Trans. Inst. Chem. Eng., 1970, vol. 49, p. 240.
Cooney, D.O. and Strusi, R.P., Analytical Description of Fixed Sorption of Two Langmuir Solutes under Non-Equilibrium Conditions, Ind. Eng. Chem. Fund., 1972, vol. 11, p. 123.
Gariepy, J.W. and Zwiebel, I., Adsorption of Binary Mixtures in Fixed Beds, AIChE Symp. Ser., 1971, vol. 67, p. 17.
Villadsen, J.V., Selected Approximation Methods for Chemical Engineering Problems, Copenhagen: Instituttet for Kemiteknik, 1970.
Finlayson, B.A., The Method of Weighted Residuals and Variational Principles, Academic Press, 1972.
Liapis, A.I. and Rippin, D.W.J., The Simulation of Binary Adsorption in Activated Carbon Columns Using Estimates of Diffusional Resistance within the Carbon Particles Derived from Bath Experiments, Chem. Eng. Sci., 1978, vol. 33, p. 593.
Liapis, A.I. and Litchfield, R.J., Ternary Adsorption in Columns, Chem. Eng. Sci., 1980, vol. 35, p. 2366.
Holland, C.D. and Liapis, A.I., Computer Methods for Solving Dynamic Separation Problem, New York: McGraw-Hill Inc., 1983.
Olafadehan, O.A. and Susu, A.A., Development of Orthogonal Collocation Method for Simultaneous Adsorption of Binary and Ternary Systems in Porous Media for Linear, Freundlich and Langmuir Adsorption Isotherms, J. Sci. Tech. Environ., 2001, vol. 1, no. 1, p. 11.
Olafadehan, O.A. and Susu, A.A., Development of Orthogonal Collocation Method for Simultaneous Adsorption of Quaternary System in Porous Media Using Linear, Freundlich and Langmuir Adsorption Isotherms, J. Sci. Tech. Environ., 2001, vol. 1, no. 2, p. 33.
Susu, A.A., Mathematical Modelling of Fixed Bed Adsorption of Aromatics and Sulphur Compounds in Kerosene Deodorisation, Chem. Eng. Proc., 2000, vol. 39, p. 485.
Olafadehan, O.A. and Aribike, D.S., Treatment of Industrial Wastewater Effluent: Adsorption of Organic Compounds on Granular Activated Carbon, J. Nig. Soc. Chem. Eng., 2000, vol. 19, p. 100.
Olafadehan, O.A. and Susu, A.A., Modelling and Simulation of Liquid Phase Ternary Adsorption on Activated Carbon, Ind. Eng. Chem. Res., 2004, vol. 43, no. 25, p. 8107.
Liles, A.W. and Geankoplis, C.J., Axial Diffusion of Liquids in Packed Beds and End Effects, AIChE J., 1960, vol. 6, p. 591.
Wilson, E.J. and Geankoplis, C.J., Liquid Mass Transfer at Very Low Reynolds Numbers in Packed Beds, Ind. Eng. Chem. Fundam, 1966, vol. 5, p. 9.
Mandelbaum, J.A. and Bohm, U., Mass transfer in Packed Beds at low Reynolds Numbers, Chem. Eng. Sci., 1973, vol. 28, no. 2, p. 569.
Wilke, C.R. and Hougen, O.W., Trans. Am. Inst. Chem. Engrs., 1945, vol. 41, p. 445.
Fritz, W. and Schluender, E.V., Simultaneous Adsorption Equilibria of Organic Solutes in Dilute Aqueous Solutions on Activated Carbon, Chem. Eng. Sci., 1974, vol. 29, p. 1279.
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Original Russian Text © D.S. Aribike, O.A. Olafadehan, 2008, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2008, Vol. 42, No. 3, pp. 269–275.
The text was submitted by the authors in English.
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Aribike, D.S., Olafadehan, O.A. Modeling of fixed bed adsorption of phenols on granular activated carbon. Theor Found Chem Eng 42, 257–263 (2008). https://doi.org/10.1134/S0040579508030056
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DOI: https://doi.org/10.1134/S0040579508030056