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An atomistic model for the Navier slip condition

Published online by Cambridge University Press:  11 February 2021

N.G. Hadjiconstantinou Open the ORCID record for N.G. Hadjiconstantinou [Opens in a new window]
N.G. Hadjiconstantinou*
Affiliation:
Department of Mechanical Engineering, MIT, Cambridge, MA02139, USA
*
†Email address for correspondence: ngh@mit.edu
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Abstract

The behaviour of a fluid at the interface with a solid boundary is affected, to a large extent, by the potential landscape imposed on the fluid by the solid. Fluid slip at the interface with a solid boundary is modelled here as forced Brownian motion in a periodic potential landscape. The resulting model goes beyond simple transition-state-theory approaches and uses well-defined atomistic parameters to capture the salient features of the slip process in both the linear and nonlinear forcing regimes, yielding excellent agreement with molecular dynamics simulation results, as well as previous modelling results. An explicit expression for the Navier slip coefficient in terms of molecular-level system parameters is derived.

JFM classification

Rarefied Gas Flow: Molecular dynamics Micro-/Nano-fluid dynamics: Non-continuum effects Mathematical Foundations: General fluid mechanics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 912 , 10 April 2021 , A26
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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