• Open Access

Nanoscale thin-film flows with thermal fluctuations and slip

Yixin Zhang, James E. Sprittles, and Duncan A. Lockerby
Phys. Rev. E 102, 053105 – Published 13 November 2020

Abstract

The combined effects of thermal fluctuations and liquid-solid slip on nanoscale thin-film flows are investigated using stochastic lubrication equations (SLEs). The previous no-slip SLE for films on plates is extended to consider slip effects and a new SLE for films on fibers is derived, using a long-wave approximation to fluctuating hydrodynamics. Analytically derived capillary spectra, which evolve in time, are found from the new SLEs and compared to molecular dynamics simulations. It is shown that thermal fluctuations lead to the generation and growth of surface waves, and slip accelerates this growth. SLEs developed here provide useful tools to study nanoscale film dewetting, nanofiber coating, and liquid transport using nanofibers.

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  • Received 7 May 2020
  • Accepted 10 October 2020

DOI:https://doi.org/10.1103/PhysRevE.102.053105

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsStatistical Physics & Thermodynamics

Authors & Affiliations

Yixin Zhang1,*, James E. Sprittles2,†, and Duncan A. Lockerby1,‡

  • 1School of Engineering, University of Warwick, Coventry CV4 7AL, United Kingdom
  • 2Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom

  • *Y.Zhang.134@Warwick.ac.uk
  • J.E.Sprittles@Warwick.ac.uk
  • D.Lockerby@Warwick.ac.uk

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Issue

Vol. 102, Iss. 5 — November 2020

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