Nonlinear frequency response method for estimation of single solute adsorption isotherms. Part I. Theoretical basis and simulations
Само за регистроване кориснике
2007
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A method for determination of single solute adsorption isotherms based on the analysis of the nonlinear frequency response (FR) of a chromatographic column is developed theoretically. In order to demonstrate this method, the FR of a chromatographic column is simulated for the periodical inlet concentration changes (sine waveform) around several steady-state concentrations. The frequency response functions (FRFs) up to the third order are calculated from the inlet and outlet concentration changes, which are analysed using the fast Fourier transform. Afterwards the coefficients of an adsorption isotherm are estimated from the low-frequency asymptotes of the FRFs and their derivatives. The obtained coefficients compare well with those used for simulations. Also discussed are some aspects that might affect the accuracy of the suggested method when it is applied to the analysis of experimental data, e.g. influence of velocity fluctuations, noise and size of the analysed data set.
Кључне речи:
adsorption isotherms / liquid chromatography / nonlinear frequency response / harmonic analysis / higher-order frequency response functions / numerical analysisИзвор:
Chemical Engineering Science, 2007, 62, 16, 4379-4393Издавач:
- Pergamon-Elsevier Science Ltd, Oxford
DOI: 10.1016/j.ces.2007.05.004
ISSN: 0009-2509
WoS: 000248960000019
Scopus: 2-s2.0-34447308538
Институција/група
Tehnološko-metalurški fakultetTY - JOUR AU - Ilić, Milica AU - Petkovska, Menka AU - Seidel-Morgenstern, Andreas PY - 2007 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/1154 AB - A method for determination of single solute adsorption isotherms based on the analysis of the nonlinear frequency response (FR) of a chromatographic column is developed theoretically. In order to demonstrate this method, the FR of a chromatographic column is simulated for the periodical inlet concentration changes (sine waveform) around several steady-state concentrations. The frequency response functions (FRFs) up to the third order are calculated from the inlet and outlet concentration changes, which are analysed using the fast Fourier transform. Afterwards the coefficients of an adsorption isotherm are estimated from the low-frequency asymptotes of the FRFs and their derivatives. The obtained coefficients compare well with those used for simulations. Also discussed are some aspects that might affect the accuracy of the suggested method when it is applied to the analysis of experimental data, e.g. influence of velocity fluctuations, noise and size of the analysed data set. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - Chemical Engineering Science T1 - Nonlinear frequency response method for estimation of single solute adsorption isotherms. Part I. Theoretical basis and simulations EP - 4393 IS - 16 SP - 4379 VL - 62 DO - 10.1016/j.ces.2007.05.004 ER -
@article{ author = "Ilić, Milica and Petkovska, Menka and Seidel-Morgenstern, Andreas", year = "2007", abstract = "A method for determination of single solute adsorption isotherms based on the analysis of the nonlinear frequency response (FR) of a chromatographic column is developed theoretically. In order to demonstrate this method, the FR of a chromatographic column is simulated for the periodical inlet concentration changes (sine waveform) around several steady-state concentrations. The frequency response functions (FRFs) up to the third order are calculated from the inlet and outlet concentration changes, which are analysed using the fast Fourier transform. Afterwards the coefficients of an adsorption isotherm are estimated from the low-frequency asymptotes of the FRFs and their derivatives. The obtained coefficients compare well with those used for simulations. Also discussed are some aspects that might affect the accuracy of the suggested method when it is applied to the analysis of experimental data, e.g. influence of velocity fluctuations, noise and size of the analysed data set.", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "Chemical Engineering Science", title = "Nonlinear frequency response method for estimation of single solute adsorption isotherms. Part I. Theoretical basis and simulations", pages = "4393-4379", number = "16", volume = "62", doi = "10.1016/j.ces.2007.05.004" }
Ilić, M., Petkovska, M.,& Seidel-Morgenstern, A.. (2007). Nonlinear frequency response method for estimation of single solute adsorption isotherms. Part I. Theoretical basis and simulations. in Chemical Engineering Science Pergamon-Elsevier Science Ltd, Oxford., 62(16), 4379-4393. https://doi.org/10.1016/j.ces.2007.05.004
Ilić M, Petkovska M, Seidel-Morgenstern A. Nonlinear frequency response method for estimation of single solute adsorption isotherms. Part I. Theoretical basis and simulations. in Chemical Engineering Science. 2007;62(16):4379-4393. doi:10.1016/j.ces.2007.05.004 .
Ilić, Milica, Petkovska, Menka, Seidel-Morgenstern, Andreas, "Nonlinear frequency response method for estimation of single solute adsorption isotherms. Part I. Theoretical basis and simulations" in Chemical Engineering Science, 62, no. 16 (2007):4379-4393, https://doi.org/10.1016/j.ces.2007.05.004 . .