2011
DOI: 10.1103/physreve.84.036311
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Nanoflow hydrodynamics

Abstract: We show by nonequilibrium molecular dynamics simulations that the Navier-Stokes equation does not correctly describe water flow in a nanoscale geometry. It is argued that this failure reflects the fact that the coupling between the intrinsic rotational and translational degrees of freedom becomes important for nanoflows. The coupling is correctly accounted for by the extended Navier-Stokes equations that include the intrinsic angular momentum as an independent hydrodynamic degree of freedom.

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Cited by 36 publications
(39 citation statements)
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“…The influence of this methodological difference manifests especially for narrow tubes. (2) Kannam et al measured the flow enhancement using the slip length predicted by using the equilibrium MD method 45,46 and shear viscosity of bulk water.…”
Section: A Thermostatting Approachmentioning
confidence: 99%
“…The influence of this methodological difference manifests especially for narrow tubes. (2) Kannam et al measured the flow enhancement using the slip length predicted by using the equilibrium MD method 45,46 and shear viscosity of bulk water.…”
Section: A Thermostatting Approachmentioning
confidence: 99%
“…Good agreement between the ENS equation and molecular dynamics simulation data has been found 15,18 for fluids flowing in nano-slit pores.…”
Section: Introductionmentioning
confidence: 61%
“…3,6,7 The fact that there exists a coupling between the molecular intrinsic (or spin) angular momentum and the hydrodynamical degrees of freedom has long been known. [8][9][10][11][12][13] Recently, the coupling has been shown to reduce the flow rate in highly confined geometries, 14,15 that it is the mechanism behind flow generation when a rotating electrical field is applied across a channel, 14,16 and that it can be utilized to perform plane wave pumping. 17 The coupling is described by an extension of the Navier-Stokes (ENS) equations, 9,10,13 in which a) jschmidt@ruc.dk.…”
Section: Introductionmentioning
confidence: 99%
“…The continuum-based methods have also not been found to be very accurate for more general problems involving flows with non-Newtonian fluids; complex boundaries; significant microscopic interactions or high Knudsen number including micro and nano-fluidics. In particular, nanodevices, microfluids and nanofluids demand better understanding and accounting of the atomistic details at the interfaces because of increased interfacial effects where assumptions of the continuum description of fluids are no longer valid [1] and the thermal fluctuations can no longer be neglected [2]. This effort aims at addressing some of these limitations of continuum based CFD methods by introducing a multiscale framework for a hybrid MD and CFD approach to modeling heat transfer in fluid flow.…”
Section: Multiscale Methodsmentioning
confidence: 99%
“…An all-atom model of octane assigns to each atom a set of parameters (FF parameters), which describe how the atom interacts with the other atoms within the molecule (bonded interactions: bond, angle, and dihedral parameters) as well as with atoms belonging to other molecules (non-bonded interactions: Coulomb and Lennard-Jones). The bonded interactions contribution to the potential energy of the system comes from harmonic bond stretching, ( − ) 2 , harmonic bond bending ( − ) 2 , and the torsional energy for a dihedral angle defined by four bonded atoms, (0) + (1) (1 + cos ) + (2) (1 − cos 2 ) + (3) (1 + cos 3 ). Here and are the spring constants in the harmonic description pf bond stretching and angle bending, respectively; and DISTRIBUTION STATEMENT A: Approved for public release.…”
Section: Introductionmentioning
confidence: 99%