title: Continuum Nanofluidics.
abstract: 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 nanometer length scale. We also present practical tools to estimate when the extended theory should be used. It is shown that in the wall-fluid region the fluid molecules align with the wall, and in this region the isotropic model may fail and a full anisotropic description is necessary.
authors.affiliation: DNRF Centre "Glass and Time", IMFUFA, Department of Sciences, Roskilde University , Postbox 260, DK-4000 Roskilde, Denmark.
authors.forename: Jesper S
authors.initials: JS
authors.lastname: Hansen
authors.affiliation: DNRF Centre "Glass and Time", IMFUFA, Department of Sciences, Roskilde University , Postbox 260, DK-4000 Roskilde, Denmark.
authors.forename: Jeppe C
authors.initials: JC
authors.lastname: Dyre
authors.affiliation: Applied Physics, School of Applied Sciences, RMIT University , GPO Box 2476, Melbourne, Victoria 3001, Australia.
authors.forename: Peter
authors.initials: P
authors.lastname: Daivis
authors.affiliation: Department of Mathematics, Faculty of Science, Engineering and Technology, and Center for Molecular Simulation, Swinburne University of Technology , P.O. Box 218, Hawthorn, Victoria 3122, Australia.
authors.forename: Billy D
authors.initials: BD
authors.lastname: Todd
authors.affiliation: Department of Physics, Technical University of Denmark , DTU Physics Building 309, DK-2800 Kongens Lyngby, Denmark.
authors.forename: Henrik
authors.initials: H
authors.lastname: Bruus