Surface Tension Effects on the Behavior of Two Rising Bubbles

Wang, Han; Zhang, Zhenyu; Yang, Yongming; Zhang, Huisheng

doi:10.1016/s1001-6058(10)60097-2

Cited by 6 publications

(3 citation statements)

References 19 publications

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“…The two bubbles break the liquid film limit at 7 ms to complete the coalescing. The coalesced large bubbles are continuously deformed under the action of surface tension and inertial force 30 …”

Section: Resultsmentioning

confidence: 99%

Flow behaviors of multiscale bubbles with porous ceramic membrane distributors: Visualization and modeling

et al. 2023

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The distribution of gas‐liquid two‐phase flow is one of the significant effects on heterogeneous catalytic reactions. Ceramic membrane gas distributors (CMGD) were applied in improving gas‐liquid distribution, and flow behavior of gas as dispersed phase in liquid phase was visualized via high‐speed photograph. The average diameters of multiscale bubbles were measured and modeled ranging from 10−5 to 10−2 m. The coalescence and trajectory of bubbles during rising process were observed, and two typical trajectories straight and spiral types were tracked. To inhibit coalescence of bubbles during rising process, internals manufactured by 3D printing were installed in the channel of ceramic membrane. The average bubble size of CMGD decreases 12% from 392 to 345 μm compared with that of the original CMGD. The CMGD with internals enhances the heterogeneous catalytic reaction performance via providing large quantity of stabile multiscale bubbles which could match the porous structure of catalyst.

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Section: Resultsmentioning

confidence: 99%

Flow behaviors of multiscale bubbles with porous ceramic membrane distributors: Visualization and modeling

et al. 2023

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“…Interface tension is an important factor in the coalescence time of two rising bubbles [34][35][36]. However, in the twodimensional domain, the influence of liquid viscosity on the coalescence time under a single interface tension condition…”

Section: Effect Of Ar On Coalescence Time At Different Bo Valuesmentioning

confidence: 99%

Numerical Investigation of Two In‐Line Two‐Dimensional Bubbles Rising in a Two‐Dimensional Quiescent Ambient Liquid by a Conservative Phase‐Field Lattice Boltzmann Method

Liao

Yang

2022

Discrete Dynamics in Nature and Society

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The coalescence and interaction of two in-line two-dimensional bubbles rising in viscous ambient liquids were studied using two-dimensional simulations. A mass-conserving lattice Boltzmann model that was combined by the phase-field lattice Boltzmann equation (LBE) and the pressure-evolution lattice Boltzmann method (LBM) with a multiple-relaxation-time (MRT) collision operator was used to solve the Navier–Stokes equations for multiphase flow. Starting from the circle shape, the interfaces of bubbles during the rising processes are captured by the calculation of the conservative phase-field LBE. The influence of liquid viscosity and interface tension on the coalescence and interaction of bubbles was studied by varying the Archimedes numbers (Ar) from 1 to 300 and several Bond numbers (Bo) from 5 to 200. It was found that the bubble–bubble interaction is enhanced with the decrease of the liquid viscosity, and the outcome of the coalescence is promoted by the two vortex rings (liquid circulations) around the two bubbles. A comprehensive map of the coalescence regime was obtained. Four distinct coalescence regimes (namely, Central I, Central II, Edge, and Hug) were identified, and three critical Ar that can distinguish the above four regimes were defined. Moreover, the effects of Ar and Bo on the coalescence time and the relative velocity between the two bubbles were also investigated. The current work enhances the understanding of the coalescence and interaction of bubbles.

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“…They showed that velocities for both bubbles are larger than that for a single bubble. Wang et al investigated the surface tension effects on interactive behaviors of two bubbles in inviscid flow regime. They defined four critical Eötvös numbers to qualitatively distinguish evolution characteristics, and the values of these numbers depend upon S .…”

Section: Introductionmentioning

confidence: 99%

Interaction of two differently sized bubbles in a viscous liquid

Zhang

Chen

You

et al. 2018

Asia-Pacific J Chem Eng

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Interaction of two in-line bubbles with different size in a viscous liquid is studied using volume-of-fluid method. Simulations are performed on initially spherical bubbles starting from rest. The influences of size ratio 0.5 ≤ R ≥ 1 and initial distance ratio 1.7 ≤ S ≥ 3 are investigated with fixed Eötvös number Eo = 50, Galilei number Ga = 100, density ratio η = 1,000, and viscosity ratio λ = 100. Two arrangement patterns are considered, the small-big arrangement (SBA) and big-small arrangement (BSA). Two distinct evolution regimes are defined: coalescence and penetration. The bubble-bubble interaction is intensified by increasing R and decreasing S, promoting the possibility of coalescence. Penetration is more prone to occur in BSA than in SBA, and it is absent in BSA when R ≤ 0.625 regardless of S. The ascending velocity of the leading bubble (LB) is nearly independent of size ratio, initial distance ratio, and arrangement pattern, since the motion of the LB is little influenced by the trailing bubble (TB). Meanwhile, the ascending velocity of the TB increases with increasing R and decreasing S. The LB usually plays a dominant role in the interaction, especially in BSA.KEYWORDS arrangement pattern, bubble-bubble interaction, initial distance ratio, size ratio, VOF

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Surface Tension Effects on the Behavior of Two Rising Bubbles

Cited by 6 publications

References 19 publications

Flow behaviors of multiscale bubbles with porous ceramic membrane distributors: Visualization and modeling

Flow behaviors of multiscale bubbles with porous ceramic membrane distributors: Visualization and modeling

Numerical Investigation of Two In‐Line Two‐Dimensional Bubbles Rising in a Two‐Dimensional Quiescent Ambient Liquid by a Conservative Phase‐Field Lattice Boltzmann Method

Interaction of two differently sized bubbles in a viscous liquid

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