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

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Diffusive interaction of multiple surface nanobubbles: shrinkage, growth, and coarsening†
Soft Matter ( IF 2.9 ) Pub Date : 2018-01-29 00:00:00 , DOI: 10.1039/c7sm02523h
Xiaojue Zhu _{1,

2,

3,

4,

5} , Roberto Verzicco _{1,

2,

3,

4,

5} , Xuehua Zhang _{1,

2,

3,

4,

5} , Detlef Lohse _{1,

2,

3,

4,

5}

Affiliation

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.

中文翻译：

多个表面纳米气泡的扩散相互作用：收缩，生长和粗化†

表面纳米气泡是在浸没基质上稳定的纳米球形帽状气态区域，即使几天也可以保持稳定。在理论上解释了单个表面纳米气泡的稳定性之后，即需要接触线钉扎和气体过饱和来稳定其以防止扩散溶解[Lohse and Zhang，Phys。启ê，2015年，91，031003（R）]，在这里我们专注于多个纳米气泡的集体扩散的互动。为此，我们为扩散方程开发了一个有限差分方案，并采用了适当的边界条件，并采用了浸没边界法来表示增长或收缩的气泡。根据针对爱泼斯坦和普莱塞特的准确结果对方案进行验证后，出现了大气泡J.化学。物理 ，1950，18，1505]和洛斯和张用于表面气泡，这些模拟的框架用于描述竞争性生长纳米气泡的粗大化过程。这种扩散相互作用的纳米气泡的粗化过程随着时间的延长和气泡距离的增加而减慢。表面纳米气泡的当前结果也适用于浸没的表面纳米液滴，为此存在对粗化过程的更好控制的实验结果。

更新日期：2018-01-29

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