Universal molecular-kinetic scaling relation for slip of a simple fluid at a solid boundary

Gerald J. Wang and Nicolas G. Hadjiconstantinou
Phys. Rev. Fluids 4, 064201 – Published 26 June 2019

Abstract

Using the observation that slip in simple fluids at low and moderate shear rates is a thermally activated process driven by the shear stress in the fluid close to the solid boundary, we develop a molecular-kinetic model for simple fluid slip at solid boundaries. The proposed model, which is in the form of a universal scaling relation that connects slip and shear rate, reduces to the well-known Navier slip condition under low shear conditions, providing a direct connection between molecular parameters and the slip length. Molecular-dynamics simulations are in very good agreement with the predicted dependence of slip on system parameters, including the temperature and fluid-solid interaction strength. Connections between our model and previous work, as well as simulation and experimental results, are explored and discussed.

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  • Received 24 August 2018

DOI:https://doi.org/10.1103/PhysRevFluids.4.064201

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Gerald J. Wang and Nicolas G. Hadjiconstantinou*

  • Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *Corresponding author: ngh@mit.edu

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Issue

Vol. 4, Iss. 6 — June 2019

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