Fluids at the Nanoscale: from continuum to sub-continuum transport

Abstract

Nanofluidics has firmly established itself as a new field in fluid mechanics, as novel properties have been shown to emerge in fluids at the nanometric scale. Thanks to recent developments in fabrication technology, artificial nanofluidic systems are now being designed at the scale of biological nanopores. This ultimate step in scale reduction has pushed the development of new experimental techniques and new theoretical tools, bridging fluid mechanics, statistical mechanics and condensed matter physics. This review is intended as a toolbox for fluids at the nanometre scale. After presenting the basic equations that govern fluid behaviour in the continuum limit, we will show how these equations break down and new properties emerge in molecular scale confinement.

References in corpus (14)

• Graphene: A sub-nanometer trans-electrode membrane
• Square ice in graphene nanocapillaries
• Nanofluidics coming of age
• Complete steric exclusion of ions and proton transport through confined monolayer water
• Molecular streaming and its voltage control in ångström scale channels
• Liquid-solid slip on charged walls: dramatic impact of charge distribution
• Electro-hydrodynamics near Hydrophobic Surfaces
• Ionic Coulomb blockade as a fractional Wien effect
• Mechanically activated ionic transport across single-digit carbon nanotubes
• Pink noise of ionic conductance through single artificial nanopores revisited
• Entropic electrokinetics: recirculation, particle separation and negative mobility
• Interfacial transport with mobile surface charges and consequences for ionic transport in carbon nanotubes
• Electrostatics of ions inside the nanopores and trans-membrane channels
• Translocation energy of ions in nano-channels of cell membranes

Cited by in corpus (55)

• Long-term memory and synapse-like dynamics in two-dimensional nanofluidic channels
• Modeling of emergent memory and voltage spiking in ionic transport through angström-scale slits
• Fluctuation-induced quantum friction in nanoscale water flows
• Nanofluidics at the crossroads
• Angstrofluidics: walking to the limit
• Advances in the kinetics of heat and mass transfer in near-continuous complex flows
• Chemi-sorbed versus physi-sorbed surface charge and its impact on electrokinetic transport: carbon versus boron-nitride surface
• Quantum feedback at the solid-liquid interface: flow-induced electronic current and its negative contribution to friction
• Interaction confinement and electronic screening in two-dimensional nanofluidic channels
• Conductance of concentrated electrolytes: multivalency and the Wien effect
• Solitons in overdamped Brownian dynamics
• The Persistence of Memory in Ionic Conduction Probed by Nonlinear Optics
• Electrification of water interface
• On the molecular correlations that result in field-dependent conductivities in electrolyte solutions
• Complex coupling between surface charge and thermo-osmotic phenomena
• Transient fluctuation-induced forces in driven electrolytes after an electric field quench
• Structure and flow of low-dimensional water
• Hydroelectric energy conversion of waste flows through hydroelectronic drag
• From nanotubes to nanoholes: scaling of selectivity in uniformly charged nanopores through the Dukhin number for 1:1 electrolytes
• Slippery and mobile hydrophobic electrokinetics: from single walls to nanochannels
• Collective modes and quantum effects in two-dimensional nanofluidic channels
• Slip-enhanced Rayleigh-Plateau instability of a liquid film on a fibre
• Thermal capillary waves on bounded nanoscale thin films
• What keeps nanopores boiling
• Ion filling of a one-dimensional nanofluidic channel in the interaction confinement regime
• Slip flow regimes in nanofluidics: a universal superexponential model
• Hydrocarbon Contamination in Angstrom-scale Channels
• Unified non-equilibrium simulation methodology for flow through nanoporous carbon membrane
• The Goldman-Hodgkins-Katz Equation, Reverse-Electrodialysis, and Everything in Between
• Two-dimensional non-linear hydrodynamics and nanofluidics
• Coupled interactions at the ionic graphene/water interface
• Theoretical framework for the atomistic modeling of frequency-dependent liquid-solid friction
• Shear and bulk acceleration viscosities in simple fluids
• Sub-Nanometer Interfacial Hydrodynamics: The Interplay of Interfacial Viscosity and Surface Friction
• Electrical conductance of charged nanopores
• An atomistic model for the thermal resistance of a liquid-solid interface
• Interactions enhance dispersion in fluctuating channels via emergent flows
• Bipolar nanochannels: The effects of an electro-osmotic instability. Part I: Steady-state response
• Self-generated electrokinetic flows from active-charged boundary patterns
• Fluctuation-driven dynamics of liquid nano-threads with external hydrodynamic perturbations
• Semi-analytical model of optothermal fluidics in a confinement
• Electrical Response of Nanofluidic Systems Subjected to Viscosity Gradients
• A hydrodynamic model of capillary flow in an axially symmetric tube with a non-slowly-varying cross section and a boundary slip
• Why and when merging surface nanobubbles jump
• Non-Fickian single-file pore transport
• Sound waves, diffusive transport, and wall slip in nanoconfined compressible fluids
• Interfacial Entanglement-Induced Time-Dependent Solidification of Polymeric Fluids
• Enhanced molecular diffusion near a soft fluctuating membrane
• Noise and fluctuations in nanoscale gas flow
• Towards a unified mechanistic understanding of the electrical response of bipolar nanofluidic systems
• Subcritical Pitchfork Bifurcation Transition of a Single Nanoparticle in Strong Confinement
• Ion Selectivity in Uncharged Tapered Nanoslits through Heterogeneous Water Polarization
• Molecular insight on ultra-confined ionic transport in wetting films: the key role of friction
• Competition between Born solvation, dielectric exclusion, and Coulomb attraction in spherical nanopores
• Enhanced transport of ions by tuning surface properties of the nanochannel