2013
DOI: 10.1103/physreve.88.010402
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Dynamic equilibrium explanation for nanobubbles' unusual temperature and saturation dependence

Abstract: The dynamic equilibrium model suggests that surface nanobubbles can be stable due to an influx of gas in the vicinity of the bubble contact line, driven by substrate hydrophobicity, that balances the outflux of gas from the bubble apex. Here, we develop an alternate formulation of this mechanism that predicts rich behavior in agreement with recent experimental measurements. Namely, we find that stable nanobubbles exist in narrow temperature and dissolved gas concentration ranges, that there is a maximum and mi… Show more

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Cited by 45 publications
(39 citation statements)
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“…While the partial pressure of gas in the liquid p dis is independent of z near a hydrophilic surface, it strongly depends on z near a hydrophobic surface due to the hydrophobic interaction between gas dissolved in water and the solid surface [35][36][37][38][39][40]. It is estimated by the following equation [25]:…”
Section: Modelmentioning
confidence: 99%
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“…While the partial pressure of gas in the liquid p dis is independent of z near a hydrophilic surface, it strongly depends on z near a hydrophobic surface due to the hydrophobic interaction between gas dissolved in water and the solid surface [35][36][37][38][39][40]. It is estimated by the following equation [25]:…”
Section: Modelmentioning
confidence: 99%
“…For a typical hydrophobic surface, the constants are as follows: a = 1.7 × 10 −20 J and b = 1 nm −1 [25,56]. A particular surface of the solid is characterized by the constant a.…”
Section: Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…This then drives a circulatory flow around the nanobubble transporting a stream of gas rich water to the three-phase line of the nanobubble, where the gas adsorbs onto the surface and diffuses back into the nanobubble. Using alternate formulations of this theory made it possible to predict the temperature and gas saturation dependency of nanobubbles 47 . What, however, remains unclear in this theory is what energetically drives the flow and therefore a non-equilibrium situation has to be assumed.…”
Section: Introductionmentioning
confidence: 99%
“…Theoretically, small bubbles with radii of curvature of less than 1 μm should dissolve in water within microseconds [16], while in experiments surface nanobubbles dissolve much slower than expected [14,15]. Currently, their stability is explained theoretically either with a dynamic equilibrium model accounting for recirculation of gas [17,18] or the far-field length scale for gas diffusion [19]. These models assume cooperative effects of the nanobubble clusters and/or the pinning of their contact lines.…”
mentioning
confidence: 97%