Application of nonlinear frequency response to investigation of membrane transport
Апстракт
The concept of higher order frequency response functions, used for investigation of weekly nonlinear systems by frequency response techniques, is applied to investigation of membrane systems. Isothermal permeation of single gases through non-porous and porous membranes is analysed for three transport mechanisms: solution-diffusion, pore-surface diffusion, and viscous-flow. In the course of definition of the transmembrane transport in dynamic conditions, a new concept of generalized membrane permeability, defined as an indefinite sequence of the permeabilities of the first, second, third,...order, dependent on the equilibrium and transport parameters of the membrane in steady-state, is introduced. A simple two-reservoir system, with variation of the volume of one reservoir, is defined and its first and second order frequency response functions are derived. It is shown that these functions can be used for identification of the transport mechanism, i.e., of the corresponding model and for... estimation of the model parameters: permeabilities of different orders, as well as the separate values of the relevant equilibrium and transport parameters.
Кључне речи:
membrane transport / nonlinear frequency response / higher order frequency response functions / generalized membrane permeability / solution-diffusion model / pore-surface diffusion model / viscous-flow model / parameter estimationИзвор:
Separation Science and Technology, 2006, 41, 1, 43-72
DOI: 10.1080/01496390500445782
ISSN: 0149-6395; 1520-5754
WoS: 000235346500003
Scopus: 2-s2.0-32944461797
Колекције
Институција/група
VinčaTY - JOUR AU - Petkovska, M AU - Petkovska, Ljubica T. PY - 2006 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2975 AB - The concept of higher order frequency response functions, used for investigation of weekly nonlinear systems by frequency response techniques, is applied to investigation of membrane systems. Isothermal permeation of single gases through non-porous and porous membranes is analysed for three transport mechanisms: solution-diffusion, pore-surface diffusion, and viscous-flow. In the course of definition of the transmembrane transport in dynamic conditions, a new concept of generalized membrane permeability, defined as an indefinite sequence of the permeabilities of the first, second, third,...order, dependent on the equilibrium and transport parameters of the membrane in steady-state, is introduced. A simple two-reservoir system, with variation of the volume of one reservoir, is defined and its first and second order frequency response functions are derived. It is shown that these functions can be used for identification of the transport mechanism, i.e., of the corresponding model and for estimation of the model parameters: permeabilities of different orders, as well as the separate values of the relevant equilibrium and transport parameters. T2 - Separation Science and Technology T1 - Application of nonlinear frequency response to investigation of membrane transport VL - 41 IS - 1 SP - 43 EP - 72 DO - 10.1080/01496390500445782 ER -
@article{ author = "Petkovska, M and Petkovska, Ljubica T.", year = "2006", abstract = "The concept of higher order frequency response functions, used for investigation of weekly nonlinear systems by frequency response techniques, is applied to investigation of membrane systems. Isothermal permeation of single gases through non-porous and porous membranes is analysed for three transport mechanisms: solution-diffusion, pore-surface diffusion, and viscous-flow. In the course of definition of the transmembrane transport in dynamic conditions, a new concept of generalized membrane permeability, defined as an indefinite sequence of the permeabilities of the first, second, third,...order, dependent on the equilibrium and transport parameters of the membrane in steady-state, is introduced. A simple two-reservoir system, with variation of the volume of one reservoir, is defined and its first and second order frequency response functions are derived. It is shown that these functions can be used for identification of the transport mechanism, i.e., of the corresponding model and for estimation of the model parameters: permeabilities of different orders, as well as the separate values of the relevant equilibrium and transport parameters.", journal = "Separation Science and Technology", title = "Application of nonlinear frequency response to investigation of membrane transport", volume = "41", number = "1", pages = "43-72", doi = "10.1080/01496390500445782" }
Petkovska, M.,& Petkovska, L. T.. (2006). Application of nonlinear frequency response to investigation of membrane transport. in Separation Science and Technology, 41(1), 43-72. https://doi.org/10.1080/01496390500445782
Petkovska M, Petkovska LT. Application of nonlinear frequency response to investigation of membrane transport. in Separation Science and Technology. 2006;41(1):43-72. doi:10.1080/01496390500445782 .
Petkovska, M, Petkovska, Ljubica T., "Application of nonlinear frequency response to investigation of membrane transport" in Separation Science and Technology, 41, no. 1 (2006):43-72, https://doi.org/10.1080/01496390500445782 . .