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

Zhu, Xiaojue; Verzicco, Roberto; Zhang, Xuehua; Lohse, Detlef

doi:10.1039/c7sm02523h

Cited by 57 publications

(65 citation statements)

References 34 publications

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“…We note that eq. (8) and the stability of the equilibrium have also been confirmed both by numerical simulations of the full diffusion equation [138], employing immersed boundary methods for the growing or shrinking bubble, see figure 19, and in addition also by MD simulations -but now with built-in pinning [139], see figure 20. As we see, the size L of the pinning site and the oversaturation ζ > 0 determine the stability of the surface nanobubbles.…”

Section: From Surface Nanobubbles To Catalysis and Electrolysismentioning

confidence: 68%

Bubble puzzles: From fundamentals to applications

Lohse

2018

Phys. Rev. Fluids

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144

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For centuries, bubbles have fascinated artists, engineers, and scientists alike. In spite of century-long research on them, new and often surprising bubble phenomena, features, and applications keep popping up. In this paper I sketch my personal scientific bubble journey, starting with single bubble sonoluminescence, continuing with sound emission and scattering of bubbles, cavitation, snapping shrimp, impact events, air entrainment, surface micro-and nanobubbles, and finally coming to effective force models for bubbles and dispersed bubbly two-phase flow. In particular, I also cover various applications of bubbles, namely in ultrasound diagnostics, drug and gene delivery, piezo-acoustic inkjet printing, immersion lithography, sonochemistry, electrolysis, catalysis, acoustic marine geophysical survey, and bubble drag reduction for naval vessels, and show how these applications crossed my way. I also try to show that good and interesting fundamental science and relevant applications are not a contradiction, but mutually stimulate each other in both directions.

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Section: From Surface Nanobubbles To Catalysis and Electrolysismentioning

confidence: 68%

Bubble puzzles: From fundamentals to applications

Lohse

2018

Phys. Rev. Fluids

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144

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“…the time-dependent term on the right-hand side of (1.1) is eliminated. This assumption can greatly affect the numerical dissolution process, as shown by Zhu et al (2018). Therefore, in the verification, instead of directly using the mathematical expression in (1.2), we adopt the contact angle correction factor f (θ ) as proposed by Popov (2005) to the classical EP theory.…”

Section: Code Verificationsmentioning

confidence: 99%

Convection-dominated dissolution for single and multiple immersed sessile droplets

Chong

et al. 2020

J. Fluid Mech.

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“…A series of recent studies resolved the mystery in the case of nanobubbles pinned on a surface in a supersaturated environment by showing that an equilibrium could be reached between the influx of gas due to the supersaturation and the outflux induced by the large diffusion rates occurring on the edges of the bubble (coffee stain effect) [41,42]. Surface pinning was further identified to play a key role in the coarsening process surface nanobubbles and droplets, in particular stabilizing them against Ostwald ripening [43,44].…”

Section: Introductionmentioning

confidence: 99%

Collective dissolution of microbubbles

2018

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A microscopic bubble of soluble gas always dissolves in finite time in an under-saturated fluid. This diffusive process is driven by the difference between the gas concentration near the bubble, whose value is governed by the internal pressure through Henry's law, and the concentration in the far field. The presence of neighbouring bubbles can significantly slow down this process by increasing the effective background concentration and reducing the diffusing flux of dissolved gas experienced by each bubble. We develop theoretical modelling of such diffusive shielding process in the case of small microbubbles whose internal pressure is dominated by Laplace pressure. We first use an exact semi-analytical solution to capture the case of two bubbles and analyse in detail the shielding effect as a function of the distance between the bubbles and their size ratio. While we also solve exactly for the Stokes flow around the bubble, we show that hydrodynamic effects are mostly negligible except in the case of almost-touching bubbles. In order to tackle the case of multiple bubbles, we then derive and validate two analytical approximate yet generic frameworks, first using the method of reflections and then by proposing a self-consistent continuum description. Using both modelling frameworks, we examine the dissolution of regular one-, two-and three-dimensional bubble lattices. Bubbles located at the edge of the lattices dissolve first, while innermost bubbles benefit from the diffusive shielding effect, leading to the inward propagation of a dissolution front within the lattice. We show that diffusive shielding leads to severalfold increases in the dissolution time which grows logarithmically with the number of bubbles in one dimensional lattices and algebraically in two and three dimensions, scaling respectively as its square root and 2/3-power. We further illustrate the sensitivity of the dissolution patterns to initial fluctuations in bubble size or arrangement in the case of large and dense lattices, as well as non-intuitive oscillatory effects.

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

Cited by 57 publications

References 34 publications

Bubble puzzles: From fundamentals to applications

Bubble puzzles: From fundamentals to applications

Convection-dominated dissolution for single and multiple immersed sessile droplets

Collective dissolution of microbubbles

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