A force balance model for the motion, impact, and bounce of bubbles

Klaseboer, Evert; Manica, Rogério; Hendrix, M.H.W.; Ohl, Claus‐Dieter; Chan, Derek Y. C.

doi:10.1063/1.4894067

Cited by 43 publications

(38 citation statements)

References 35 publications

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“…On the other hand, comparison between a similar theory for bouncing bubbles in contaminated systems showed excellent agreement for the film drainage process. 5,25,26 This provides us with the confidence that the currently predicted film heights are accurate from a spatiotemporal point of view.…”

Section: ■ Bubble Release Near the Surfacementioning

confidence: 84%

“…25,26 Recently, a model that uses the bubble velocity based on a force balance as the boundary condition to the drainage equations was proposed for spherical bubbles with tangentially immobile condition at the bubble surface. 5 This model was successful in predicting trajectories as well as thin film drainage compared with the experimental data 3 in a contaminated system. Bubbles in clean water systems exhibit a much more pronounced bouncing behavior than contaminated bubbles due to their greater impact speed.…”

Section: ■ Introductionmentioning

confidence: 90%

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Force Balance Model for Bubble Rise, Impact, and Bounce from Solid Surfaces

2015

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A force balance model for the rise and impact of air bubbles in a liquid against rigid horizontal surfaces that takes into account effects of buoyancy and hydrodynamic drag forces, bubble deformation, inertia of the fluid via an added mass force, and a film force between the bubble and the rigid surface is proposed. Numerical solution of the governing equations for the position and velocity of the center of mass of the bubbles is compared against experimental data taken with ultraclean water. The boundary condition at the air-water interface is taken to be stress free, which is consistent for bubbles in clean water systems. Features that are compared include bubble terminal velocity, bubbles accelerating from rest to terminal speed, and bubbles impacting and bouncing off different solid surfaces for bubbles that have already or are yet to attain terminal speed. Excellent agreement between theory and experiments indicates that the forces included in the model constitute the main physical ingredients to describe the bouncing phenomenon.

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Section: ■ Bubble Release Near the Surfacementioning

confidence: 84%

Section: ■ Introductionmentioning

confidence: 90%

Force Balance Model for Bubble Rise, Impact, and Bounce from Solid Surfaces

2015

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“…Recently, Kosior et al 9 reported the influence of n-octanol on the bubble impact velocity and bouncing from hydrophobic surfaces experimentally. Qin et al, 10 Albadawi et al, 11 Klaseboer et al, 12 and Manica et al 13 theoretically and numerically studied the bubble rise, impact, and bounce processes. The film drainage process was investigated in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Power 18 studied the interaction of a deformable bubble with a rigid wall at a small Reynolds number. Based on an earlier study, 6 Klaseboer et al 12 successfully predicted the bubble trajectory and thin film drainage by using a force balance model. The terminal velocity of a rising bubble has been noted to be an important factor in bubble dynamics.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation for a rising bubble interacting with a solid wall: Impact, bounce, and thin film dynamics

Zhang

Luo

et al. 2018

Physics of Fluids

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Using an arbitrary Lagrangian-Eulerian method on an adaptive moving unstructured mesh, we carry out numerical simulations for a rising bubble interacting with a solid wall. Driven by the buoyancy force, the axisymmetric bubble rises in a viscous liquid toward a horizontal wall, with impact on and possible bounce from the wall. First, our simulation is quantitatively validated through a detailed comparison between numerical results and experimental data. We then investigate the bubble dynamics which exhibits four different behaviors depending on the competition among the inertial, viscous, gravitational, and capillary forces. A phase diagram for bubble dynamics has been produced using the Ohnesorge number and Bond number as the two dimensionless control parameters. Finally, we turn to the late stage of the bubble rise characterized by a small flux of liquid escaping from the thin film between the wall and the bubble. Since the thin film dynamics can be accurately described by the lubrication approximation, we carry out numerical simulations to compare the simulation results with the predictions of the lubrication approximation. Remarkable agreement is obtained to further demonstrate the accuracy of the simulations.

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“…The velocity of the bubble rising in a straight path is predicted using a force balance method where drag, buoyancy, added mass and film forces are taken into account. This approach is an extension of a theory that has been applied to model the experimental data 10,11 on the collision between bubbles and solid surfaces in ultraclean 12 and contaminated 13,14 systems. Advantages of this model include its efficiency and ease of implementation.…”

Section: Introductionmentioning

confidence: 99%

The impact and bounce of air bubbles at a flat fluid interface

2016

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The rise and impact of bubbles at an initially flat but deformable liquid-air interface in ultraclean liquid systems are modelled by taking into account the buoyancy force, hydrodynamic drag, inertial added mass effect and drainage of the thin film between the bubble and the interface. The bubble-surface interaction is analyzed using lubrication theory that allows for both bubble and surface deformation under a balance of normal stresses and surface tension as well as the long-range nature of deformation along the interface. The quantitative result for collision and bounce is sensitive to the impact velocity of the rising bubble. This velocity is controlled by the combined effects of interfacial tension via the Young-Laplace equation and hydrodynamic stress on the surface, which determine the deformation of the bubble. The drag force that arises from the hydrodynamic stress in turn depends on the hydrodynamic boundary conditions on the bubble surface and its shape. These interrelated factors are accounted for in a consistent manner. The model can predict the rise velocity and shape of millimeter-size bubbles in ultra-clean water, in two silicone oils of different densities and viscosities and in ethanol without any adjustable parameters. The collision and bounce of such bubbles with a flat water/air, silicone oil/air and ethanol/air interface can then be predicted with excellent agreement when compared to experimental observations.

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A force balance model for the motion, impact, and bounce of bubbles

Cited by 43 publications

References 35 publications

Force Balance Model for Bubble Rise, Impact, and Bounce from Solid Surfaces

Force Balance Model for Bubble Rise, Impact, and Bounce from Solid Surfaces

Numerical simulation for a rising bubble interacting with a solid wall: Impact, bounce, and thin film dynamics

The impact and bounce of air bubbles at a flat fluid interface

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