Barrier membranes

Mathematical Modelling of Chemical Diffusion through Skin using Grid-based PSEs

“…The differences in the alignment of 2-d corneocytes was considered in [12] and these differences are further complicated by the move to 3-d. We have been considering the effects of alignment, and how these are affected by the aspect ratio of the corneocytes and the thickness of the lipids. Part of this work is to verify the previously published geometric estimates for the effect of "slits, wiggles and necking" around the corneocytes [5,14]. The effect of the number of layers of corneocytes is also of great importance.…”

Estimation of Gas Permeation Characteristics of Ultrahigh Barrier Edge Sealing Materials from Asymptotic Solution of Diffusion Equation

“…The gas permeation rate in the inorganic-organic composite has been analyzed assuming the steady state [3][4] . The permeation rate was proportional to the diffusion constant in that case, which is different from the present analysis.…”

“…The diffusion equation is solved analytically and numerically, and the asymptotic behavior is discussed in detail. Gas permeation through polymer composites has been studied for long time [3][4][5][6][7][8][9][10][11][12][13] , but its analysis has been based on the assumption of the steady state. Since the steady state is not reached within the device lifetime during the normal operation of gas barrier edge seals for organic electronics, as discussed in the following, the present results significantly differ from those of previous studies and various implications can be discussed.…”

Geomaterials: their application to environmental remediation

“…Various barrier models have been proposed to predict the permeability of composites containing dispersed platelets [64][65][66][67][68]. These models usually assume a random spatial arrangement of platelets oriented perpendicular to the permeation direction.…”

“…These results can be attributed to the improved dispersion of the silicate nanolayers inside the nylon 6 matrix, which obstruct the path of methanol molecules. Some previous barrier models [64][65][66][67][68] were based on longer diffusive paths along which a gas must travel due to the presence of a filler. According to these models, the reduction of permeability should depend on the quantity of filler, its aspect ratio, and the orientation of the platelets.…”