# Continuum Nanofluidics.

@article{Hansen2015ContinuumN, title={Continuum Nanofluidics.}, author={J. S. Hansen and Jeppe C. Dyre and Peter J. Daivis and Billy D. Todd and Henrik Bruus}, journal={Langmuir : the ACS journal of surfaces and colloids}, year={2015}, volume={31 49}, pages={ 13275-89 } }

This paper introduces the fundamental continuum theory governing momentum transport in isotropic nanofluidic systems. The theory is an extension of the classical Navier-Stokes equation, and includes coupling between translational and rotational degrees of freedom as well as nonlocal response functions that incorporate spatial correlations. The continuum theory is compared with molecular dynamics simulation data for both relaxation processes and fluid flows, showing excellent agreement on the…

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## References

SHOWING 1-10 OF 78 REFERENCES

Nanoflow hydrodynamics.

- MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

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…

Thermal fluctuations in nanofluidic transport.

- Physics, MedicinePhysical review letters
- 2012

It is shown that hydrodynamic fluctuations can lead to a strongly enhanced diffusion of particles confined in a nanopore, and the results are extended to account for the hydrod dynamic contribution to electrical noise in charged nanopores.

Nonlocal shear stress for homogeneous fluids.

- Physics, MedicinePhysical review letters
- 2008

This Letter confirms that the postulate that the shear stress can be postulated to be a convolution of this nonlocal viscosity kernel with the strain rate over all space is correct by a combination of analytical and numerical methods for an atomic fluid out of equilibrium.

Nonlocal viscous transport and the effect on fluid stress.

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

It is demonstrated that nonlocality will be significant for any particular flow field if the even moments of the nonlocal viscosity kernel are non-negligible, and that such conditions are likely to be dominant for nanofluidic flows.

Statistical mechanics of viscous flow in nematic fluids

- Physics
- 1993

We derive Green–Kubo (GK) relations for the viscosity coefficients of nematic liquid crystals. These GK relations are similar to, but considerably more complicated than, those of an isotropic fluid.…

Nonlocal nature of the viscous transport in supercooled liquids: complex fluid approach to supercooled liquids.

- Physics, MedicinePhysical review letters
- 2009

The fundamental importance of the growing dynamic correlation in anomalous transport is suggested and new light on the nature of slow dynamics is shed.

Local linear viscoelasticity of confined fluids.

- Chemistry, MedicineThe Journal of chemical physics
- 2007

The method shows that the viscoelastic properties of the fluid exhibit dramatic spatial changes near the wall-fluid boundary due to the high density in this region and provides valuable information about the transport properties in the fluid, in general.

Microflows and Nanoflows: Fundamentals and Simulation

- Chemistry
- 2001

Gas Flows.- Governing Equations and Slip Models.- Shear-Driven Flows.- Pressure-Driven Flows.- Thermal Effects in Microscales.- Prototype Applications of Gas Flows.- Basic Concepts and Technologies.-…

A tractable molecular theory of flow in strongly inhomogeneous fluids

- Physics
- 1988

A recently introduced model is used to study several flows in fluids with large density variations over distances comparable to their molecular dimensions (strongly inhomogeneous fluids). According…

Electrohydraulic power conversion in planar nanochannels.

- Physics, MedicinePhysical review letters
- 2009

It is shown that static electric fields do not induce fluid flow in the planar geometry, while rotating electric fields efficiently convert electric into hydraulic power on the nanoscale.