Investigation of gas transport through porous membranes based on nonlinear frequency response analysis |
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Authors: | M Petkovska A Markovic M Lazar A Seidel-Morgenstern |
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Institution: | 1.Faculty of Technology and Metallurgy,University of Belgrade,Belgrade,Serbia;2.Evonik Degussa GmbH,Marl,Germany;3.Max-Planck Institute for Dynamics of Complex Technical Systems,Magdeburg,Germany;4.Institute for Chemical Engineering,University of Stuttgart,Stuttgart,Germany;5.Otto von Guericke University, Chair of Chemical Process Engineering,Magdeburg,Germany |
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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. |
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