Next Article in Journal
Simulation and Test Bed of a Low-Power Digital Excitation System for Industry 4.0
Next Article in Special Issue
Diffusion in Nanoporous Materials: Novel Insights by Combining MAS and PFG NMR
Previous Article in Journal
Supported Ionic Liquid Membranes for Separation of Lignin Aqueous Solutions
Previous Article in Special Issue
Computational Molecular Modeling of Transport Processes in Nanoporous Membranes
Article Menu
Issue 9 (September) cover image

Export Article

Open AccessFeature PaperReview
Processes 2018, 6(9), 144;

Challenges in Nanofluidics—Beyond Navier–Stokes at the Molecular Scale

School of Science and Centre for Molecular and Nanoscale Physics, RMIT University, GPO Box 2476, Melbourne, Victoria 3001, Australia
Department of Mathematics, School of Science, Faculty of Science, Engineering and Technology, Swinburne University of Technology, PO Box 218, Hawthorn, Victoria 3122, Australia
Authors to whom correspondence should be addressed.
Both authors contributed to this work, with P.J.D. taking the leading role in writing the manuscript.
Received: 18 July 2018 / Revised: 17 August 2018 / Accepted: 21 August 2018 / Published: 1 September 2018
(This article belongs to the Special Issue Transport of Fluids in Nanoporous Materials)
Full-Text   |   PDF [537 KB, uploaded 1 September 2018]   |  


The fluid dynamics of macroscopic and microscopic systems is well developed and has been extensively validated. Its extraordinary success makes it tempting to apply Navier–Stokes fluid dynamics without modification to systems of ever decreasing dimensions as studies of nanofluidics become more prevalent. However, this can result in serious error. In this paper, we discuss several ways in which nanoconfined fluid flow differs from macroscopic flow. We give particular attention to several topics that have recently received attention in the literature: slip, spin angular momentum coupling, nonlocal stress response and density inhomogeneity. In principle, all of these effects can now be accurately modelled using validated theories. Although the basic principles are now fairly well understood, much work remains to be done in their application. View Full-Text
Keywords: nanofluidics; molecular dynamics; hydrodynamics; slip; spin-coupling; non-local constitutive equations nanofluidics; molecular dynamics; hydrodynamics; slip; spin-coupling; non-local constitutive equations

Graphical abstract

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Printed Edition Available!
A printed edition of this Special Issue is available here.

Share & Cite This Article

MDPI and ACS Style

Daivis, P.J.; Todd, B.D. Challenges in Nanofluidics—Beyond Navier–Stokes at the Molecular Scale. Processes 2018, 6, 144.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Processes EISSN 2227-9717 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top