Two-dimensional non-linear hydrodynamics and nanofluidics

TL;DR

This paper develops a non-linear hydrodynamic model for two-dimensional water confined between solid layers, revealing how different materials influence flow behavior and viscosity, with implications for nanofluid design.

Contribution

It introduces an explicit non-linear hydrodynamic equation for 2D water flow with viscosity parameters derived from molecular dynamics simulations, highlighting material-dependent flow properties.

Findings

Flow in short channels is governed by the second (dilatational) viscosity coefficient.

Viscosity values vary significantly between graphene and hexagonal boron nitride confinements.

Flow compression and velocity saturation occur at high pressures.

Abstract

A water monolayer squeezed between two solid planes experiences strong out-of-plane confinement effects while expanding freely within the plane. As a consequence, the transport of such two-dimensional water combines hydrodynamic and nanofluidic features, intimately linked with each other. In this paper, we propose and explicitly solve a non-linear hydrodynamic equation describing two-dimensional water flow with viscosity parameters deduced from molecular dynamic simulations. We demonstrate that the very ability of two-dimensional water to flow in short channels is governed by the second (dilatational) viscosity coefficient, leading to flow compression and velocity saturation in the high-pressure limit. The viscosity parameter values depend strongly on whether graphene or hexoganal boron nitride layers are used to confine 2D water that offers an interesting opportunity to obtain various nanofluids out of the same water molecules just by using alternate materials to fabricate the 2D channels.