Test of the Epstein−Plesset Model for Gas Microparticle Dissolution in Aqueous Media:  Effect of Surface Tension and Gas Undersaturation in Solution

Duncan, P. Brent; Needham, David

doi:10.1021/la034930i

Cited by 219 publications

(261 citation statements)

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“…Following the work of Epstein and Plesset and many other investigators [11][12][13], in the solution of the mathematical problem posed by (6), (7), and (8) we will treat R as a parameter. Tao [14,15] tried to improve on this approximation but his method of solution leads to an infinite series that must be truncated, introducing errors that are difficult to quantify.…”

Section: -3mentioning

confidence: 99%

“…More recently their approach has been extended to the dissolution or growth of single-component drops in an immiscible liquid [6,7] and to the study of nanodrops and nanobubbles [8]. As long as surface tension and dynamical effects are negligible, whatever the bubble radius, the gas pressure in the bubble balances the constant ambient pressure and the dissolved gas concentration at the bubble surface remains constant, according to Henry's law.…”

Section: Introductionmentioning

confidence: 99%

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History effects on the gas exchange between a bubble and a liquid

Chu

Prosperetti

2016

Phys. Rev. Fluids

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Diffusive processes exhibit a strong dependence on history effects. For a gas bubble at rest in a liquid, such effects arise when the concentration of dissolved gas at the bubble surface, dictated by Henry's law, depends on time. In this paper we consider several such situations. An oscillating ambient pressure field causes the occurrence of rectified diffusion of gas into or out of the bubble. Unlike previous investigators, who considered the opposite limit, we study this process for conditions when the diffusion length is larger than the bubble radius. It is found that history effects are important in determining the threshold conditions. Under a static ambient pressure, the time dependence of the gas concentration can arise due to the action of surface tension, which increases the gas pressure as the bubble dissolves or, when the bubble contains a mixture of two or more gases, due to the different rates at which they dissolve. In these latter cases history effects prove mostly negligible for bubbles larger than a few hundred nanometers.

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Section: -3mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

History effects on the gas exchange between a bubble and a liquid

Chu

Prosperetti

2016

Phys. Rev. Fluids

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“…The difference in the assumptions of the two theories yields a prediction of approximately a factor of two slower dissolution for the "negative feedback" model of a pinned bubble relative to the "positive feedback" model of a hemispherical bubble. Both models predict that N 2 bubbles will have lifetimes ∼3 times longer than a H 2 bubble of the same size based upon the difference in dissolved gas diffusion coefficients (1.9 × 10 −5 cm 2 /s and 4.5 × 10 −5 cm 2 /s for N 2 and H 2 , respectively) 36,37 and difference in gas solubility (0.69 mM/atm and 0.8 mM/atm for N 2 and H 2 , respectively).Previous studies of dissolution of suspended spherical microbubbles 23,24 (5-50 μm) correspond well with the diffusioncontrolled predictions of Epstein and Plesset theory within a factor of 2. However, the dissolution of the electrogenerated nanobubbles might not be expected to be diffusion limited.…”

mentioning

confidence: 99%

“…Dissolution rates of micron-sized bubbles in bulk solution have been measured and agree well with the theory of Epstein and Plesset. 23,24 However, recent studies of very high curvature nanobubbles by transmission electron microscopy (TEM), where 10-nm radius bubbles were observed to be stable over many seconds, may suggest very different dissolution rates for nanobubbles. 25 Electrochemistry provides an interesting avenue for the study of both the nucleation and stability of nanobubbles.…”

mentioning

confidence: 99%

Electrochemical Measurement of Hydrogen and Nitrogen Nanobubble Lifetimes at Pt Nanoelectrodes

German

Chen

Edwards

et al. 2016

J. Electrochem. Soc.

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The lifetimes of individual H 2 and N 2 nanobubbles, electrochemically generated at Pt nanoelectrodes (7-85 nm-radius), have been measured using a fast-scan electrochemical technique. To measure lifetime, a stable single H 2 or N 2 bubble is first generated by reducing protons or oxidizing hydrazine, respectively, at the Pt nanoelectrode. The electrode potential is then rapidly stepped (<100 μs) to a value where the bubble is unstable and begins to dissolve by gas molecule transfer across the gas/water interface and diffusion. The electrode potential is immediately scanned back to values where the bubble was initially stable. Depending on the rate of this second voltammetric scan, the initial bubble may or may not have time to dissolve, as is readily determined by the characteristic voltammetric signature corresponding to the nucleation of a new bubble. The transition between these regimes is used to determine the bubble's lifetime. The results indicate that dissolution of a H 2 or N 2 nanobubble is, in part, limited by the transfer of molecules across the gas/water interface. A theoretical expression describing mixed diffusion/kinetic control is presented and fit to the experimental data to obtain an interfacial gas transfer rate of ∼10 Interfacial nanobubbles are gaseous, nanoscale spherical caps on a solid substrate immersed in a gas-saturated solution. They were first proposed to explain the long-range attractive interactions between hydrophobic surfaces.1-3 Initially their existence was contentiously debated, 4,5 but their existence, composition and stability has since been documented in numerous experiments. [6][7][8][9][10] The argument against their existence is due to the lack of a theoretical understanding of their peculiar longevity, often measured in days. 11It is well understood that a spherical bubble suspended in a gassaturated liquid should be intrinsically unstable. The internal pressure within a bubble of radius R exceeds that of its surroundings by the Laplace pressure, 2γ/R, where γ is the liquid's surface tension. The gas within the bubble therefore has a higher chemical potential than the dissolved gas and must reach equilibrium by dissolution into the liquid and transport away from the bubble. While this process is quite slow for macroscopic bubbles, the rate of dissolution increases by orders of magnitude for nanoscopic bubbles, due to the increase in Laplace pressure and decreased diffusion lengths. Epstein and Plesset 12 first detailed a theoretical framework for growing and shrinking bubbles and later Ljunggren and Eriksson 13 explicitly extended the theory to the nanoscale. Both mathematical approaches predict isolated, spherical bubbles smaller than 100 nm radius to dissolve in less than 100 microseconds. Experimentally, and as noted above, nanobubbles are observed to persist for much longer periods, often for several days. 11Several different mechanisms have been proposed to explain the persistence of nanobubbles on surfaces: a transport barrier and lowering of the surface tension b...

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“…Various techniques for creating micron-and submicron-bubbles have been found, such as sonication or high-shear emulsification, inkjet printing, and microfluidic processing [1]. Because each MB has a large Laplace pressure driving bubble dissolution, the interior gas tends to be leaked into aqueous solutions [2]. Coating the gas core by a shell increases the lifetime of individual bubbles.…”

Section: Introductionmentioning

confidence: 99%

A Non-stoichiometric Universality in Microbubble-Polyelectrolyte Complexation

Frusawa

Yoshida

2012

J. Phys. Soc. Jpn.

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We investigated the fundamental electrical properties of microbubbles (MBs) that are directly encapsulated by the addition of oppositely charged polyelectrolytes (PEs). Charge-reversal of the MB-PE complex particles has been observed by the microscopic electrophoresis method, revealing unusual overcharging behaviors in MB-PE complex solutions, as follows. The critical concentrations of cationic PEs added for overcharging were not only independent of their chain lengths and molecular species, but also much larger than stoichiometric neutralization points. Thus, we provide a theoretical sketch that considers the adsorption-desorption kinetics of small anions on the surface of genuine microbubbles, which can explain the inefficient charge-reversal.

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Test of the Epstein−Plesset Model for Gas Microparticle Dissolution in Aqueous Media: Effect of Surface Tension and Gas Undersaturation in Solution

Cited by 219 publications

References 58 publications

History effects on the gas exchange between a bubble and a liquid

History effects on the gas exchange between a bubble and a liquid

Electrochemical Measurement of Hydrogen and Nitrogen Nanobubble Lifetimes at Pt Nanoelectrodes

A Non-stoichiometric Universality in Microbubble-Polyelectrolyte Complexation

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