Nonlinear Frequency Response Analysis as a Tool for Identification of Adsorption Kinetics: Case Study-Pore-Surface Diffusion Control
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In the present paper, the Nonlinear Frequency Response (NFR) analysis is applied for theoretical study of kinetics of adsorption governed by pore-surface diffusion. The concept of higher-order frequency response functions (FRFs) is used. Based on a nonlinear mathematical model for adsorption of pure gas and spherical adsorbent particles, the theoretical first-and second-order FRFs, which relate the adsorbate concentration in the particle to the surrounding pressure (F-1 (omega) and F-2 (omega,omega)), have been derived. The obtained FRFs have been simulated for different steady-state pressures and different ratios (between zero and one) of surface to pore diffusion coefficients. The results show that, unlike F-1 (omega), F-2 (omega,omega) exhibits features which unambiguously distinguish the pore-surface diffusion model from pure pore diffusion and micropore diffusion. Based on the characteristic features of F-1 (omega) and F-2 (omega,omega), a new methodology for direct estimation of ...the separate values of the pore and surface diffusion coefficients has been established.
Izvor:
Mathematical Problems in Engineering, 2019, 2019Izdavač:
- Hindawi Ltd, London
Finansiranje / projekti:
DOI: 10.1155/2019/7932967
ISSN: 1024-123X
WoS: 000471771200001
Scopus: 2-s2.0-85067060721
Institucija/grupa
Tehnološko-metalurški fakultetTY - JOUR AU - Brzić, Danica AU - Petkovska, Menka PY - 2019 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/4211 AB - In the present paper, the Nonlinear Frequency Response (NFR) analysis is applied for theoretical study of kinetics of adsorption governed by pore-surface diffusion. The concept of higher-order frequency response functions (FRFs) is used. Based on a nonlinear mathematical model for adsorption of pure gas and spherical adsorbent particles, the theoretical first-and second-order FRFs, which relate the adsorbate concentration in the particle to the surrounding pressure (F-1 (omega) and F-2 (omega,omega)), have been derived. The obtained FRFs have been simulated for different steady-state pressures and different ratios (between zero and one) of surface to pore diffusion coefficients. The results show that, unlike F-1 (omega), F-2 (omega,omega) exhibits features which unambiguously distinguish the pore-surface diffusion model from pure pore diffusion and micropore diffusion. Based on the characteristic features of F-1 (omega) and F-2 (omega,omega), a new methodology for direct estimation of the separate values of the pore and surface diffusion coefficients has been established. PB - Hindawi Ltd, London T2 - Mathematical Problems in Engineering T1 - Nonlinear Frequency Response Analysis as a Tool for Identification of Adsorption Kinetics: Case Study-Pore-Surface Diffusion Control VL - 2019 DO - 10.1155/2019/7932967 ER -
@article{ author = "Brzić, Danica and Petkovska, Menka", year = "2019", abstract = "In the present paper, the Nonlinear Frequency Response (NFR) analysis is applied for theoretical study of kinetics of adsorption governed by pore-surface diffusion. The concept of higher-order frequency response functions (FRFs) is used. Based on a nonlinear mathematical model for adsorption of pure gas and spherical adsorbent particles, the theoretical first-and second-order FRFs, which relate the adsorbate concentration in the particle to the surrounding pressure (F-1 (omega) and F-2 (omega,omega)), have been derived. The obtained FRFs have been simulated for different steady-state pressures and different ratios (between zero and one) of surface to pore diffusion coefficients. The results show that, unlike F-1 (omega), F-2 (omega,omega) exhibits features which unambiguously distinguish the pore-surface diffusion model from pure pore diffusion and micropore diffusion. Based on the characteristic features of F-1 (omega) and F-2 (omega,omega), a new methodology for direct estimation of the separate values of the pore and surface diffusion coefficients has been established.", publisher = "Hindawi Ltd, London", journal = "Mathematical Problems in Engineering", title = "Nonlinear Frequency Response Analysis as a Tool for Identification of Adsorption Kinetics: Case Study-Pore-Surface Diffusion Control", volume = "2019", doi = "10.1155/2019/7932967" }
Brzić, D.,& Petkovska, M.. (2019). Nonlinear Frequency Response Analysis as a Tool for Identification of Adsorption Kinetics: Case Study-Pore-Surface Diffusion Control. in Mathematical Problems in Engineering Hindawi Ltd, London., 2019. https://doi.org/10.1155/2019/7932967
Brzić D, Petkovska M. Nonlinear Frequency Response Analysis as a Tool for Identification of Adsorption Kinetics: Case Study-Pore-Surface Diffusion Control. in Mathematical Problems in Engineering. 2019;2019. doi:10.1155/2019/7932967 .
Brzić, Danica, Petkovska, Menka, "Nonlinear Frequency Response Analysis as a Tool for Identification of Adsorption Kinetics: Case Study-Pore-Surface Diffusion Control" in Mathematical Problems in Engineering, 2019 (2019), https://doi.org/10.1155/2019/7932967 . .