Pressure-driven flow through a single nanopore

Velasco, Angel; Friedman, S. R.; Pevarnik, Matthew; Siwy, Zuzanna S.; Taborek, P.

doi:10.1103/physreve.86.025302

Cited by 35 publications

(18 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The flow of dissipationless atomic supercurrents in neutral superfluids is one of the most dramatic manifestations of macroscopic quantum coherence [1][2][3], with applications to matter wave interferometry [4][5][6]. Recently, there has been increased interest in dimensionally confined superfluids, due to progress in manufacturing nanoscale channels and fountain effect devices for studying the flow of superfluid helium [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and the availability of trapped non-equilibrium atomic Bose-Einstein condensates [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. Common to these experiments in vastly different density and interaction regimes is an observed increase in dissipation for highly confined systems.…”

mentioning

confidence: 99%

Dissipation in mesoscale superfluids

Maestro

Rosenow

2017

Phys. Rev. B

View full text Add to dashboard Cite

We investigate the maximum speed at which a driven superfluid can flow through a narrow constriction with a size on the order of the healing length. Considering dissipation via the thermal nucleation of quantized vortices, we calculate the critical velocity for superfluid 4 He and ultracold atomtronic circuits, identify fundamental length and velocity scales, and are thus able to present results obtained in widely different temperature and density ranges in a universal framework. For ultra-narrow channels we predict a drastic reduction in the critical velocity as the energy barrier for flow reducing thermally activated phase slip fluctuations is suppressed.

show abstract

mentioning

confidence: 99%

Dissipation in mesoscale superfluids

Maestro

Rosenow

2017

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…To validate the proposed multi-flow regimes model, dimensionless apparent permeability values predicted by different models (Klinkenberg, 1941;Civan, 2010;Velasco et al, 2012;Lv et al, 2014) were compared with the experimental data given in Velasco et al (2012). Figure 4(a) shows that the dimensionless apparent permeability calculated from the proposed model matches quite well with the experimental data for the full flow range.…”

Section: Resultsmentioning

confidence: 79%

A multi-flow regimes model for simulating gas transport in shale matrix

Zhang¹,

Wen²

2015

Géotechnique Letters

View full text Add to dashboard Cite

The gas transport in shale matrix is of great research interest for optimised shale gas recovery. Pores and pore-throats in the gas-bearing shale are nano-scale, and hence transport of gas is governed by the slippage effect and Knudsen diffusion rather than viscous flow. Hence a proper mathematical model is needed for full understanding of shale gas transport. In this paper, a mathematical model that considers multi-flow regimes is proposed based on gas molecular kinetics theory. The flow regimes transition from slip flow to Knudsen diffusion, and can be adequately described by introducing a corrected intermolecular collision frequency. The proposed mathematical model predictions are compared with experimental data and found to match very well. Furthermore, the gas mass flux contributed by different flow regimes with the variation of Knudsen number is analysed. The numerical simulation results indicate that with the increase in Knudsen number, viscous flow becomes weakened, and the slippage flow reaches a peak and then decreases gradually. The contribution to the gas mass flux due to Knudsen diffusion starts at the early stage of transition flow, and becomes dominant at the later stage of transition flow.

show abstract

“…For example, patterning the pore opening size could be exploited for size-selective filtration or sensing applications30, where integrating an array of different pore sizes into a compact area, on a single chip, could enable rapid and multiplexed screening of target analytes with a specific size. Patterning the pore dimensions could also be used to spatially modulate or tune transport kinetics through the nanoscale pores31. Gray-scale patterning of porosity, meanwhile, could be exploited to locally control the effective refractive index and realize compact gradient index optical structures based on porous nanomaterials.…”

Section: Resultsmentioning

confidence: 99%

Three-dimensional patterning and morphological control of porous nanomaterials by gray-scale direct imprinting

Ryckman

Jiao

Weiss

2013

Sci Rep

View full text Add to dashboard Cite

We present a method for direct three-dimensional (3D) patterning of porous nanomaterials through the application of a premastered and reusable gray-scale stamp. Four classes of 3D nanostructures are demonstrated for the first time in porous media: gradient profiles, digital patterns, curves and lens shapes, and sharp features including v-grooves, nano-pits, and ‘cookie-cutter’ particles. Further, we demonstrate this technique enables morphological tuning and direct tailoring of nanomaterial properties, including porosity, average pore size, dielectric constant, and plasmonic response. This work opens a rapid and low-cost route for fabricating novel nanostructures and devices utilizing porous nanomaterials, with promising applications spanning diffractive and plasmonic sensing, holography, micro- and transformation optics, and drug delivery and imaging.

show abstract

Pressure-driven flow through a single nanopore

Cited by 35 publications

References 23 publications

Dissipation in mesoscale superfluids

Dissipation in mesoscale superfluids

A multi-flow regimes model for simulating gas transport in shale matrix

Three-dimensional patterning and morphological control of porous nanomaterials by gray-scale direct imprinting

Contact Info

Product

Resources

About