Comments on “Bubble motion in aqueous surfactant solutions”

Liao, Ying‐Chih; Wang, J; Nunge, Richard J.; McLaughlin, John B.

doi:10.1016/j.jcis.2004.01.015

Cited by 15 publications

(11 citation statements)

References 13 publications

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“…The governing equations were solved by a finite difference method using an adaptive boundary‐fitted coordinate system. This work was revisited by Liao et al36 who showed that the simulations contained some inaccuracy associated with the numerical algorithm used to solve the surfactant transport equation on the bubble surface. When Liao et al36 corrected the problem, the simulations agreed much better with the experimental data.…”

Section: Introductionmentioning

confidence: 99%

“…This work was revisited by Liao et al36 who showed that the simulations contained some inaccuracy associated with the numerical algorithm used to solve the surfactant transport equation on the bubble surface. When Liao et al36 corrected the problem, the simulations agreed much better with the experimental data. The effect of surfactants on mass transfer coefficient for bubbles was investigated by Vasconcelos et al,37 Painmanakul et al,38 Sardeing et al,39 Madhavi et al,40 and Maceiras et al41 Dani42 studied the mass transfer between a single bubble and a liquid.…”

Section: Introductionmentioning

confidence: 99%

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Mass transfer from a contaminated fluid sphere

et al. 2010

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The unsteady mass transfer from a contaminated fluid sphere moving in an unbounded fluid is examined numerically for unsteady-state transfer. The effect of the interface contamination and the flow regime on the concentration profiles, inside and outside a fluid sphere, is investigated for different ranges of Reynolds number (0 \ Re \ 200) and Peclet number (0 \ Pe \ 10 5 ), viscosity ratio between the dispersed phase and the continuous phase (0 \ j \ 10), and the stagnant-cap angle (0 \ h cap \ 180). It was found that the stagnant-cap angle significantly influences the mass transfer from the sphere to a surrounding medium. For all Peclet and Reynolds numbers and j, the contamination reduces the mass transfer flux. The average Sherwood number increases with an increase of stagnant-cap angle and reaches a maximum equal to the average one for a clean fluid sphere at low viscosity ratio and large Peclet numbers. A predictive equation for the Sherwood number is derived from these numerical results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mass transfer from a contaminated fluid sphere

et al. 2010

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“…1,13 ͑2͒ The terminal velocity of bubble is fixed throughout the simulation, which is impossible to experimentally achieve. Only exception is that Liao and McLaughlin 34 allowed the bubble to rise from rest but Liao et al 37 reported significant numerical inaccuracies making their results unreliable.…”

Section: Introductionmentioning

confidence: 99%

The effect of soluble surfactant on the transient motion of a buoyancy-driven bubble

2008

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The effect of soluble surfactants on the unsteady motion and deformation of a bubble rising in an otherwise quiescent liquid contained in an axisymmetric tube is computationally studied by using a finite-difference/front-tracking method. The unsteady incompressible flow equations are solved fully coupled with the evolution equations of bulk and interfacial surfactant concentrations. The surface tension is related to the interfacial surfactant concentration by a nonlinear equation of state. The nearly spherical, ellipsoidal, and dimpled ellipsoidal-cap regimes of bubble motion are examined. It is found that the surfactant generally reduces the terminal velocity of the bubble but this reduction is most pronounced in the nearly spherical regime in which the bubble behaves similar to a solid sphere and its terminal velocity approaches that of an equivalent solid sphere. Effects of the elasticity number and the bulk and interfacial Peclet numbers are examined in the spherical and ellipsoidal regimes. It is found that the surface flow and interfacial surfactant concentration profiles exhibit the formation of a stagnant cap at the trailing end of the bubble in the ellipsoidal regime at low elasticity and high interfacial Peclet numbers. Bubble deformation is first reduced due to rigidifying effect of the surfactant but is then amplified when the elasticity number exceeds a critical value due to overall reduction in the surface tension.

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“…The stagnant cap model has been extensively adopted to interpret experimental results and found that this model is consistent with experimental results not only at low to moderate Reynolds numbers but also at large values of the Reynolds numbers. Furthermore, this model is also tested theoretically by many researchers and proved to be reliable under a wide range of Reynolds numbers . As per this model, contaminants can adsorb at the first front half of the bubble surface and move towards the backside of the bubble because of the surface advection caused by the main flow .…”

Section: Introductionmentioning

confidence: 98%

Heat Transfer from Confined Contaminated Bubbles to Power‐Law Liquids at Low to Moderate Reynolds and Prandtl Numbers

Kishore

Nalajala

2016

Heat Trans. Asian Res.

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In this work combined effects of the wall confinement and the power-law fluid viscosity on the heat transfer phenomena of contaminated bubbles are reported through numerical investigations. In order to delineate the effect of insoluble surfactants the spherical stagnant cap model is adopted. The solver is thoroughly validated by comparing the present results with their literature counterparts. Further, extensive new results are reported on the isotherm contours and average Nusselt numbers of confined contaminated bubbles in the range of conditions: Reynolds number, Re: 0.1 to 200; Prandtl number, Pr: 1 to 1000; power-law index, n: 0.2 to 1.6 and stagnant cap angle, : 0 to 180°. Briefly, results are indicative of the following observations. The temperature contours are increasingly sucked towards the rear end of the bubble with the increase in Reynolds number and/or with the increase in Prandtl number and/or with the decrease in power-law index and/or with the decrease in stagnant cap angle. At Re ≤ 1 and Pr ≤ 10, the average Nusselt number is almost independent of power-law indices and the stagnant cap angle. For Pe > 10, regardless of values of the confinement ratio and Reynolds number, for ≥ 60 the average Nusselt number decreases with an increasing stagnant cap angle whereas for < 60 the effect of contamination is found to be insignificant. The increase in the average Nusselt number with an increasing confinement ratio would occur only at moderate to large values of Reynolds and Prandtl numbers regardless of the values of the power-law index provided that ≥ 60°. C⃝ 2016 Wiley Periodicals, Inc. Heat Trans Asian Res, 46 (7): 681-702, 2017; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj).

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Comments on “Bubble motion in aqueous surfactant solutions”

Cited by 15 publications

References 13 publications

Mass transfer from a contaminated fluid sphere

Mass transfer from a contaminated fluid sphere

The effect of soluble surfactant on the transient motion of a buoyancy-driven bubble

Heat Transfer from Confined Contaminated Bubbles to Power‐Law Liquids at Low to Moderate Reynolds and Prandtl Numbers

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