The transport of gases in a supported mesoporous silica membrane

Gao, Xuechao, da Costa, João C. Diniz and Bhatia, Suresh K. (2013) The transport of gases in a supported mesoporous silica membrane. Journal of Membrane Science, 438 90-104. doi:10.1016/j.memsci.2013.03.042

Author Gao, Xuechao
da Costa, João C. Diniz
Bhatia, Suresh K.
Title The transport of gases in a supported mesoporous silica membrane
Journal name Journal of Membrane Science   Check publisher's open access policy
ISSN 0376-7388
Publication date 2013-07-01
Sub-type Article (original research)
DOI 10.1016/j.memsci.2013.03.042
Volume 438
Start page 90
End page 104
Total pages 15
Place of publication Netherlands
Publisher Elsevier
Collection year 2014
Language eng
Formatted abstract
• Measurement of diffusion of several gases in a mesoporous silica membrane.
• Tortuosities based on conventional correlation vary with temperature and gas.
• Effective medium theory is successful, while using only transferable parameters.
• The Knudsen model overestimates diffusivities in mesopores.
• The Oscillator Model considers adsorption, and is more accurate for mesopores.

We investigate the low pressure transport of several gases in a disordered mesoporous silica membrane of mean pore diameter 3.70 nm, deposited on a porous tubular asymmetric support. The transport data for the supported membrane is examined using three different diffusion models, the classical Knudsen model, a version corrected for finite molecular size, as well as the Oscillator Model developed in this laboratory, using a representative pore size in each layer. We show that the correlation by the Knudsen approach, or its modification for finite molecular size, overestimates the diffusion coefficient in the membrane layer, and yields unrealistically high tortuosities, which vary with temperature and gas species. The apparent tortuosity is significantly reduced to a more reasonable range based on the Oscillator Model, which accounts for dispersive fluid–solid interaction and the effect of adsorption on the transport. In order to overcome the lack of transferability associated with fitting of a variable tortuosity, effective medium theory is used to model the transport in the different layers, while considering the entire pore size distribution for each layer, using only fundamental structural parameters. It is found that the classical and corrected Knudsen models yield significant deviations even with an unrealistically high thickness for the membrane layer, due to the overestimation of the diffusivity. The most satisfactory results are obtained with the Oscillator Model, in which the fitting error is significantly reduced with acceptable membrane thickness. The results indicate that the Knudsen model fails to represent the transport for the mesopores of mean size of 3.70 nm in silica, and that the Oscillator Model provides a more accurate apparent diffusivity which accounts for the effects of adsorption. We also show that use of the effective medium theory provides a satisfactory option to model the transport, using only fundamental structural parameters that are transferable.
Keyword Membrane transport
Effective medium theory
Knudsen model
Oscillator model
Microporous ceramic membranes
Capillary network models
Diffusion mechanism
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Chemical Engineering Publications
Official 2014 Collection
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 8 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 13 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Sun, 07 Jul 2013, 00:09:36 EST by System User on behalf of School of Chemical Engineering