The rate of solution of small stationary bubbles and the diffusion coefficients of gases in liquids

Houghton, G.; Ritchie, P. D.; Thomson, Jim

doi:10.1016/0009-2509(62)85001-5

Cited by 77 publications

(30 citation statements)

References 20 publications

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“…To compare the simulations precisely with the experiment, the analysis for spherical bubbles in an infinite liquid is not sufficient, and the analysis for attached nonspherical bubbles to the wall is needed. Actually, as noted by Houghton et al (11) , the dissolution rate of the attached bubbles is reduced by the effect of the wall in comparison with the bubble in an infinite liquid. Therefore, the dissolution rate with the analysis of a spherical bubble can be overestimated.…”

Section: Governing Equationsmentioning

confidence: 89%

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Stability of Microbubbles under Variation of a Pressure Field

Takahira

Ito

2008

JFST

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The shrinkage and growth of microbubbles coated by palmitic acid under variation of a pressure field are observed with a CCD camera. We investigate the influence of gas diffusion on the stability of microbubbles. It is shown that when the ambient liquid pressure increases, a tiny microbubble with a radius of about 5 µm shrinks accompanied with large surface depression, and does not return to the initial size even after the pressure is reduced. The depression suggests the formation of multilayers of surfactant on the bubble surface. A bubble model is constructed by taking the dynamic surface tension and the gas permeation resistance of surfactant layers into account. The simulations show that the hysteresis of the surface tension is an important factor in determining the bubble response to the pressure change; the bubble profiles in the experiments are simulated qualitatively by considering the hysteresis of the surface tension. Also, the simulations considering the variable permeation resistance are in good agreement with the experimental results. The results also show that the permeation resistance increases during bubble shrinkage and stabilizes the microbubble. The smaller the initial bubble radius becomes, the larger the permeation resistance becomes during bubble shrinkage. The present simulations support the experimental results that the surfactant multilayers are formed when the bubble is compressed under the pressure increase.

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Section: Governing Equationsmentioning

confidence: 89%

“…9, the simulations with the radius is underestimated in the simulations. The existence of the cover glass (11) and the deformation of the bubble can be reasons for the underestimation. In particular, since the surface depression is observed after about 30 t = s in Fig.…”

Section: Influence Of Dynamic Surface Tension and Gas Permeation Resimentioning

confidence: 99%

Stability of Microbubbles under Variation of a Pressure Field

Takahira

Ito

2008

JFST

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“…For helium transport, a free-water diffusion coefficient of 5.8 × 10 −9 m/s 2 is used [59]. Tortuosity values are computed from Table 1 of Al et al [10] for an 18 O profile and adjusted to account for formation porosities in Table 1 Approximately nine episodes of continental scale glaciation have occurred during the past 1 Ma over the Canadian landmass [60].…”

Section: Modelling Approachmentioning

confidence: 99%

Assessing Alternative Scenarios for the Cause of Underpressures in the Ordovician Sediments along the Eastern Flank of the Michigan Basin

et al. 2017

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Geoscientific investigations for a proposed deep geologic repository at the Bruce Site, located on the eastern flank of the Michigan Basin, have identified unique and significant underpressured conditions. Along with the measurement of environmental tracer profiles (e.g., helium), this study aims to explore, through a series of numerical simulations, the nature of long-term phenomena responsible for the generation and preservation of formation underpressures. Three families of inverse numerical experiments for underpressure formation were examined by means of one-dimensional hydromechanically coupled models through the vertical hydrostratigraphic column: (i) uncertainty in glaciation scenarios; (ii) uncertainty in initial heads prior to glaciation; and (iii) uncertainty in the degree of hydraulic connectivity between the more permeable Guelph Formation at the Bruce Site and the applied glacial loading, for a total of 20 scenarios, assuming fully saturated conditions. Underpressured initial heads for the paleohydrogeologic simulations lead to lower calibrated vertical hydraulic conductivities. The robustness and resilience of the groundwater system to external perturbations are greater for the state where underpressured conditions predate the onset of glaciation and are better able to preserve the present day helium tracer profile in 260 Ma exhumation analyses.

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“…The constant, known as the Henry's law constant, depends on the solute, the solvent and the temperature (Houghton et al,1962).The Henry's law constant is also dependent on the pressure at higher pressures as reported by Liu et al (2011). Diffusion is the net movement of a substance for example, an atom, ion or molecule, from a region of high concentration to a region of low concentration (Greet et al, 1988).…”

Section: Solubility and Diffusivity Of Co 2 In Seawatermentioning

confidence: 99%

Experimental study on solution and diffusion process of single carbon dioxide bubble in seawater

Liu

Endo

Fukuda

et al. 2016

Mechanical Engineering Journal

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Solution and diffusion process of carbon dioxide (CO 2 ) in seawater is important in the research and development of CO 2 ocean sequestration technology to mitigate global warming. In this study, solution and diffusion process of single CO 2 bubble in seawater and pure water were experimentally studied under various pressures and temperatures to evaluate the transport process of CO 2 in seawater. The solution process was conducted in a test vessel. CO 2 bubble was generated by a CO 2 bubble generator installed at the bottom of the vessel. The diameter of CO 2 bubble was recorded using a high speed video camera. The pressure and temperature of liquids were measured by using a pressure transducer and thermocouples. Experimental conditions for the temperature ranged from 277 K to 297 K, and the pressure ranged from around 101 kPa up to 400 kPa. It was obtained that the complete solution time decreases with the increase in pressure due to its higher solubility at a higher pressure. It decreases with an increase in temperature arising from a higher diffusivity at a high temperature. It was clarified that the complete solution time for CO 2 in seawater is longer than that in pure water due to its relatively lower solubility compared with pure water.

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The rate of solution of small stationary bubbles and the diffusion coefficients of gases in liquids

Cited by 77 publications

References 20 publications

Stability of Microbubbles under Variation of a Pressure Field

Stability of Microbubbles under Variation of a Pressure Field

Assessing Alternative Scenarios for the Cause of Underpressures in the Ordovician Sediments along the Eastern Flank of the Michigan Basin

Experimental study on solution and diffusion process of single carbon dioxide bubble in seawater

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