Hindered diffusion in slit pores: an analytical result

Direct Observation of Transitions between Surface-Dominated and Bulk Diffusion Regimes in Nanochannels

“…This kind of hindered diffusion has been extensively studied with neutral spheres in cylindrical nanopores 8,[13][14][15][16] . The equilibrium partitioning of solute concentration between inside and outside a nanoslit, assuming there is no surface close to the measurement volume outside the nanochannel, is given by 8,17 : …”

Impact of mineral micropores on transport and fate of organic contaminants: A review

“…Hindered diffusion through small pores in microporous media is a well known transport phenomenon, and there has been some basic understanding on the mechanism behind the hindered diffusion provided by the pore walls (Pawar and Anderson, 1993). Surface diffusion is well known as an activated process involving molecules jumping from one site to another site separated from it by a barrier.…”

“…The transport of molecules in micropores is considered to occur via a sequence of jumps from one adsorption site to another, thus diffusion in micropores is also an activated process, similar to surface diffusion (Karimi and Farooq, 2000). In liquid-filled pores of comparable dimension, the apparent diffusion coefficient of molecules is reduced compared to free solution (Pawar and Anderson, 1993). In addition, the micropores in natural minerals are non-uniform in size distribution and irregular in shape, which can further complicate the desorption of molecules from micropores.…”

“…Theoretical and experimental predictions of the hindered transport in liquid-filled pores from fundamental information such as the size, shape, and electrical charge of the solutes and pores are available in literature (e.g., Beck and Schultz, 1970;Deen, 1987;Karimi and Farooq, 2000;Pawar and Anderson, 1993;Srebnik et al, 2007). Mathematical models have been developed to quantitatively describe the kinetics of contaminant desorption from micropores of natural soils and sediments Farrell and Reinhard, 1994;Farrell et al, 1999b; Fig.…”

Lubrication approximation for microparticles moving along parallel walls

“…Microfluidic devices are commonly used for particle manipulation and separation, such as biological cell sorting, on-chip hydrodynamic chromatography [1], electrophoresis [2], and many other applications [3,4,5,6,7,8,9,10,11]. Particles often move along microchannels whose smallest dimension is comparable with the particles' size, and the other ones are much larger [12,13].…”