1997
DOI: 10.1016/s0376-7388(96)00303-1
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Permeation through a heterogeneous membrane: the effect of the dispersed phase

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Cited by 235 publications
(239 citation statements)
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“…The aggregate shape is clearly nonuniform compared with the others that appear better dispersed and have a more uniform aggregate size. It is noteworthy that the relative permeability is almost identical for the nanocomposite membranes containing less than 20 vol.% silica, indicating that the local flow pattern around a filler particle is not disturbed by the presence of other particles [6].…”
Section: Microporous Morphologymentioning
confidence: 90%
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“…The aggregate shape is clearly nonuniform compared with the others that appear better dispersed and have a more uniform aggregate size. It is noteworthy that the relative permeability is almost identical for the nanocomposite membranes containing less than 20 vol.% silica, indicating that the local flow pattern around a filler particle is not disturbed by the presence of other particles [6].…”
Section: Microporous Morphologymentioning
confidence: 90%
“…7. Gas permeability of N2 ( ), O2 (᭹), and CO2 ( ) influenced by the incorporation of silica nanoparticles relative to that in unfilled PIM-1 membrane as a function of true silica volume fraction; properties were measured at 25 • C and p of 50 psig after being soaked in methanol and dried at 100 • C in a vacuum oven; the dotted line represents highly permeable dispersed phase by the Bruggeman's model [6]. nanoparticle aggregates, or as a result of nanoparticle-induced disruption of polymer chain packing is barely distinguishable.…”
Section: Gas Permeation Properties Of Pim-1/silica Mixed-matrix Membrmentioning
confidence: 99%
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“…The Maxwell principle dates back to 1873 when Maxwell defined the dielectric constant, or called permittivity, of a dielectric as the factor of proportion between the electric displacement and the electric field or potential gradient [18]. In the case of mixed matrix membranes, the gas permeation flux is proportional to the pressure difference or potential gradient and the permeability is the factor of the proportion.…”
Section: Gas Permeation In Mixed Matrix Membranesmentioning
confidence: 99%
“…Analogous to the permittivity of heterogeneous dielectrics, one can predict permeability of a mixed matrix membrane by replacing the permittivity with permeability in the continuous and dispersed phases in the equation. For a low loading of spherical fillers, the permeability, P c , of a mixed matrix membrane is described by Maxwell approximation below [18]: P m and P f are the permeability of the continuous phase and dispersed filler phase, respectively, in the mixed matrix membrane. refers the volume fraction of filler in the membrane.…”
Section: Gas Permeation In Mixed Matrix Membranesmentioning
confidence: 99%