Jump to main content
Jump to site search

Issue 11, 2018
Previous Article Next Article

Diffusive interaction of multiple surface nanobubbles: shrinkage, growth, and coarsening

Author affiliations

Abstract

Surface nanobubbles are nanoscopic spherical-cap shaped gaseous domains on immersed substrates which are stable, even for days. After the stability of a single surface nanobubble has been theoretically explained, i.e. contact line pinning and gas oversaturation are required to stabilize it against diffusive dissolution [Lohse and Zhang, Phys. Rev. E, 2015, 91, 031003(R)], here we focus on the collective diffusive interaction of multiple nanobubbles. For that purpose we develop a finite difference scheme for the diffusion equation with the appropriate boundary conditions and with the immersed boundary method used to represent the growing or shrinking bubbles. After validation of the scheme against the exact results of Epstein and Plesset for a bulk bubble [J. Chem. Phys., 1950, 18, 1505] and of Lohse and Zhang for a surface bubble, the framework of these simulations is used to describe the coarsening process of competitively growing nanobubbles. The coarsening process for such diffusively interacting nanobubbles slows down with advancing time and increasing bubble distance. The present results for surface nanobubbles are also applicable for immersed surface nanodroplets, for which better controlled experimental results of the coarsening process exist.

Graphical abstract: Diffusive interaction of multiple surface nanobubbles: shrinkage, growth, and coarsening

Back to tab navigation

Supplementary files

Publication details

The article was received on 22 Dec 2017, accepted on 27 Jan 2018 and first published on 29 Jan 2018


Article type: Paper
DOI: 10.1039/C7SM02523H
Citation: Soft Matter, 2018,14, 2006-2014
  • Open access: Creative Commons BY license
  •   Request permissions

    Diffusive interaction of multiple surface nanobubbles: shrinkage, growth, and coarsening

    X. Zhu, R. Verzicco, X. Zhang and D. Lohse, Soft Matter, 2018, 14, 2006
    DOI: 10.1039/C7SM02523H

    This article is licensed under a Creative Commons Attribution 3.0 Unported Licence. Material from this article can be used in other publications provided that the correct acknowledgement is given with the reproduced material.

    Reproduced material should be attributed as follows:

    • For reproduction of material from NJC:
      [Original citation] - Published by The Royal Society of Chemistry (RSC) on behalf of the Centre National de la Recherche Scientifique (CNRS) and the RSC.
    • For reproduction of material from PCCP:
      [Original citation] - Published by the PCCP Owner Societies.
    • For reproduction of material from PPS:
      [Original citation] - Published by The Royal Society of Chemistry (RSC) on behalf of the European Society for Photobiology, the European Photochemistry Association, and RSC.
    • For reproduction of material from all other RSC journals:
      [Original citation] - Published by The Royal Society of Chemistry.

    Information about reproducing material from RSC articles with different licences is available on our Permission Requests page.

Search articles by author

Spotlight

Advertisements