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Continuum Nanofluidics.

Jesper S Hansen1, Jeppe C Dyre1, Peter Daivis2

  • 1DNRF Centre "Glass and Time", IMFUFA, Department of Sciences, Roskilde University , Postbox 260, DK-4000 Roskilde, Denmark.

Langmuir : the ACS Journal of Surfaces and Colloids
|October 13, 2015
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Summary
This summary is machine-generated.

This study presents a new continuum theory for momentum transport in nanofluidic systems, extending Navier-Stokes equations. The theory accurately predicts fluid behavior at the nanoscale, offering tools for application guidance.

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Area of Science:

  • Fluid dynamics
  • Nanotechnology
  • Continuum mechanics

Background:

  • Classical Navier-Stokes equations are insufficient for nanoscale phenomena.
  • Momentum transport in nanofluidic systems requires advanced theoretical frameworks.
  • Understanding fluid behavior at the nanoscale is crucial for developing new technologies.

Purpose of the Study:

  • To introduce a fundamental continuum theory for momentum transport in isotropic nanofluidic systems.
  • To extend the classical Navier-Stokes equation by incorporating coupled degrees of freedom and nonlocal response functions.
  • To provide practical guidelines for the applicability of the extended theory.

Main Methods:

  • Extension of the classical Navier-Stokes equation.
  • Inclusion of coupling between translational and rotational degrees of freedom.
  • Incorporation of nonlocal response functions accounting for spatial correlations.
  • Comparison with molecular dynamics simulation data.

Main Results:

  • The developed continuum theory shows excellent agreement with molecular dynamics simulations on the nanometer length scale.
  • The theory accurately describes relaxation processes and fluid flows in nanofluidic systems.
  • Practical tools are provided to determine the applicability of the extended theory.
  • Alignment of fluid molecules with the wall in the wall-fluid region was observed.

Conclusions:

  • The extended continuum theory provides a robust framework for understanding momentum transport in nanofluidic systems.
  • The theory's accuracy is validated by molecular dynamics simulations at the nanoscale.
  • The study highlights the limitations of isotropic models in the wall-fluid region, necessitating anisotropic descriptions.