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Simplified calculation procedure for carbon adsorption model

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The nonlinear equilibrium isotherm relationship for carbon adsorption has been linearized by expanding it using a Taylor series. The Taylor series expansion is truncated so that the resulting linear form can be substituted into the equation obtained by applying orthogonal collocation technique to the differential equation for adsorption process. Finally, a set of algebraic formulas was derived by using Laplace transform for calculating bulk liquid concentration and interface liquid concentration. The Taylor series replacement iterative procedure is recommended for calculating the true values of bulk liquid concentration. The results from the new approach were verified by comparison with those obtained from Runge-Kutta integration using experimental data reported by other investigators. The proposed algebraic method is applicable for all types of batch adsorption experimental data without any restrictions.

Keywords: Taylor series; algebraic formulas; bulk liquid concentration; carbon adsorption; interface liquid concentration; surface diffusion

Document Type: Research Article


Publication date: September 1, 1993

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  • Water Environment Research® (WER®) publishes peer-reviewed research papers, research notes, state-of-the-art and critical reviews on original, fundamental and applied research in all scientific and technical areas related to water quality, pollution control, and management. An annual Literature Review provides a review of published books and articles on water quality topics from the previous year.

    Published as: Sewage Works Journal, 1928 - 1949; Sewage and Industrial Wastes, 1950 - 1959; Journal Water Pollution Control Federation, 1959 - Oct 1989; Research Journal Water Pollution Control Federation, Nov 1989 - 1991; Water Environment Research, 1992 - present.
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