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Updated: May 27, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Nanoflow hydrodynamics.

J S Hansen¹, Jeppe C Dyre, Peter J Daivis

¹Danish National Research Foundation (DNRF) Centre Glass and Time, IMFUFA, Department of Science, Systems and Models, Roskilde University, Postbox 260, DK-4000 Roskilde, Denmark. jschmidt@ruc.dk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 9, 2011

Summary

This summary is machine-generated.

The standard Navier-Stokes equation fails for nanoscale water flow. Extended equations including intrinsic angular momentum accurately describe these nanoflows.

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Area of Science:

Fluid dynamics
Nanoscale science
Computational physics

Background:

The Navier-Stokes equations are fundamental for describing fluid motion.
Nanoscale geometries present unique challenges for classical fluid dynamics models.

Purpose of the Study:

To investigate the validity of the Navier-Stokes equation for water flow in nanoscale geometries.
To identify limitations of classical fluid dynamics at the nanoscale.

Main Methods:

Nonequilibrium molecular dynamics simulations were employed.
Analysis focused on water flow within nanoscale confinements.

Main Results:

The standard Navier-Stokes equation inaccurately predicts water flow behavior at the nanoscale.
Failure is attributed to the significant coupling between rotational and translational degrees of freedom in nanoflows.

Conclusions:

The Navier-Stokes equation is insufficient for describing nanoscale fluid dynamics.
Extended Navier-Stokes equations, incorporating intrinsic angular momentum, provide a more accurate model for nanoflows.