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Investigation of gas transport through porous membranes based on nonlinear frequency response analysis

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Markovic,  A.
Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;
University of Stuttgart, Institute for Chemical Engineering, Stuttgart, Germany;

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Seidel-Morgenstern,  A.
Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;
Otto-von-Guericke-Universität Magdeburg, External Organizations;

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Citation

Petkovska, M., Markovic, A., Lazar, M., & Seidel-Morgenstern, A. (2011). Investigation of gas transport through porous membranes based on nonlinear frequency response analysis. Adsorption, 17(1), 75-91. doi:10.1007/s10450-010-9293-3.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-8CCB-0
Abstract
Theoretical development of a new experimental method for investigation of mass transport in porous membranes, based on the principle of the modified Wicke-Kallenbach diffusion cell and the nonlinear frequency response analysis is presented. The method is developed to analyze the transport of a binary gas mixture in a porous membrane. The mixture is assumed to consist of one adsorbable and one inert component. Complex mass transfer mechanism in the membrane, where bulk or transition diffusion in the pore volume and surface diffusion take place in parallel, is assumed. Starting from the basic mathematical model equations and following a rather standardized procedure, the frequency response functions (FRFs) up to the second order are derived. Based on the derived FRFs, correlations between some characteristic features of these functions on one side, and the whole set of equilibrium and transport parameters of the system, on the other, are established. As the FRFs can be estimated directly from different harmonics of the measured outputs, these correlations give a complete theoretical basis for the proposed experimental method. The method is illustrated by quantifying the transport of helium (inert gas) and C3H8 and CO2 (adsorbable gases) through a porous Vycor glass membrane. © Springer Science+Business Media, LLC 2010 [accessed December 1st 2010]