Use of higher-order frequency response functions for identification of nonlinear adsorption kinetics: Single mechanisms under isothermal conditions

Nonlinear Dynamics

Volumn 21, Issue 4, 2000, Pages 353-376

  Petkovska, Menka ^a,b   Do, Duong ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b UNIVERSITY OF BELGRADE   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY RESPONSE; FUNCTIONS; MATHEMATICAL MODELS;

HIGHER-ORDER FREQUENCY RESPONSE FUNCTIONS (FRF);

NONLINEAR CONTROL SYSTEMS;

EID: 0033903893     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008342419693     Document Type: Article

References (29)

1. Ruthven, D. M., Principles of Adsorption and Adsorption Processes, Wiley, New York, 1984.
2. Naphtali, L. M. and Polinski, L. M., 'A novel technique for characterisation of adsorption rates on heterogeneous surfaces', Journal of Physical Chemistry 67, 1963, 369-375.
3. Yasuda, Y. and Saeki, M., 'Kinetic details of a gas-surface systems by the frequency response method', Journal of Physical Chemistry 82, 1978, 74-80.
4. Yasuda, Y., 'Determination of vapor diffusion coefficients in zeolite by the frequency response method', Journal of Physical Chemistry 86, 1982, 1913-1917.
5. Yasuda, Y. and Sugasawa, G., 'A frequency response technique to study zeolitic diffusion of gases', Journal of Catalysis 88, 1984, 530-534.
6. Jordi, R. G. and Do, D. D., 'Frequency response analysis of sorption in zeolite crystals with finite intracrystal reversible mass exchange', Journal of the Chemical Society Faraday Transactions 88, 1992, 2411-2419.
7. Jordi, R. G. and Do, D. D., 'Analysis of the frequency response method for sorption kinetics in bidispersed structured sorbents', Chemical Engineering Science 48, 1993, 1103-1130.
8. Sun, L. M., Meunier, F., and Karger, J., 'On the heat effect in measurements of sorption kinetics by the frequency response method', Chemical Engineering Science 48, 1993, 715-722.
9. Sun, L. M. and Bourdin, V., 'Measurement of intracrystalline diffusion by the frequency response method: analysis and interpretation of bimodal response curves', Chemical Engineering Science 48, 1993, 3783-3793.
10. Jordi, R. G. and Do, D. D., 'Analysis of the frequency response method applied to non-isothermal sorption studies', Chemical Engineering Science 49, 1994, 957-979.
11. Sun, L. M., Meunier, F., Grenier, Ph., and Ruthven, D. M., 'Frequency response for nonisothermal adsorption in biporous pellets', Chemical Engineering Science 49, 1994, 373-381.
12. Shen, D. and Rees, L. V. C., 'Study of fast diffusion in zeolites using a higher harmonic frequency response method', Journal of the Chemical Society Faraday Transactions 90, 1994, 3017-3022.
13. Shen, D. and Rees, L. V. C., 'Frequency response study of single-file diffusion in Theta-1', Journal of the Chemical Society Faraday Transactions 90, 1994, 3017-3022.
14. Shen, D. and Rees, L. V. C., 'Analysis of bimodal frequency-response behaviour of p-xylene diffusion in silicate-1', Journal of the Chemical Society Faraday Transactions 91, 1995, 2027-2033.
15. Song L. and Rees, L. V. C., 'Adsorption and transport of n-hexane in silicate-1 by the frequency response technique', Journal of the Chemical Society Faraday Transactions 93, 1997, 649-657.
16. Reyes, S. C., Sinfelt, J. H., DeMartin, G. J., Ernst, R. H., and Iglesia, E., 'Frequency modulation methods for diffusion and adsorption measurements in porous solids', Journal of Physical Chemistry B 101, 1997, 614-622.
17. Park, I. S., Petkovska, M., and Do, D. D. 'Frequency response of an adsorber with the modulation of the inlet molar flow-rate: Part I. A semi-batch adsorber', Chemical Engineering Science 53, 1998, 819-832.
18. Park, I. S., Petkovska, M., and Do, D. D. 'Frequency response of an adsorber with the modulation of the inlet molar flow-rate: Part II. A continuous flow adsorber', Chemical Engineering Science 53, 1998, 833-843.
19. Weiner, D. D. and Spina, J. P., Sinusoidal Analysis and Modeling of Weakly Nonlinear Circuits, Van Nostrand Reinhold, New York, 1980.
20. Peyton Jones, J. C., and Billings, S. A., 'Interpretation of non-linear frequency response functions', International Journal of Control, 52, 1990, 319-346.
21. Lang, Z. Q. and Billings, S. A., 'Output frequency characteristics of nonlinear systems', International Journal of Control 64, 1996, 1049-1067.
22. Billings, S. A. and Yusof, M. I., 'Decomposition of generalized frequency response functions for nonlinear systems using symbolic computation', International Journal of Control 65, 1996, 589-618.
23. Lee, G. M., 'Estimation of nonlinear system parameters using higher-order frequency response functions', Mechanical Systems and Signal Processing 11, 1997, 219-228.
24. Doyle III, F. J., Ogunnaike, B. A., and Pearson, R. K., 'Nonlinear model based control using second-order Volterra models', Automatica 31, 1995, 697-714.
25. Petkovska, M. and Do, D. D., 'Nonlinear frequency response of adsorption systems: General approach and special cases', in Proceedings of the Sixth Conference on Fundamentals of Adsorption - FOA6, Presque Ille de Giens, France, F. Meunier (ed.), Elsevier, Paris, 1998, pp. 1189-1194.
26. Petkovska, M. and Do, D. D. 'Nonlinear frequency response of adsorption systems: Isothermal batch and continuous flow adsorbers', Chemical Engineering Science 53, 1998, 3081-3097.
27. Dominguez, J. A., Psaras, D., and LaCava, A. I., 'Langmuir kinetics as an accurate simulation of the rate of adsorption of oxigen and nitrogen mixtures on non-Fickian carbon molecular sieves', AIChE Symposium Series 84, 1988, 73-82.
28. Volterra, V., Theory of Functionals and Integral and Integrodifferential Equations, Dover, New York, 1959.
29. Do, D. D. 'Dynamics of adsorption in heterogeneous solids', in Equilibria and Dynamics of Adsorption on Heterogeneous Solid Surfaces, W. Rudzinski, W. A. Steele, and G. Zgrablich (eds.), Elsevier, Amsterdam, 1997, pp. 777-835.