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Research Papers: Multiphase Flows

Film Size During Bubble Collision With a Solid Surface

[+] Author and Article Information
Travis S. Emery

Microsystems Engineering Department,
Rochester Institute of Technology,
76 Lomb Memorial Dr.,
Rochester, NY 14623
e-mail: tse8682@rit.edu

Satish G. Kandlikar

Fellow ASME
Mechanical Engineering Department,
Rochester Institute of Technology,
76 Lomb Memorial Dr.,
Rochester, NY 14623
e-mail: sgkeme@rit.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 19, 2018; final manuscript received November 6, 2018; published online January 7, 2019. Assoc. Editor: Daniel Maynes.

J. Fluids Eng 141(7), 071302 (Jan 07, 2019) (8 pages) Paper No: FE-18-1484; doi: 10.1115/1.4041990 History: Received July 19, 2018; Revised November 06, 2018

The impact and bounce of a bubble with a solid surface is of significant interest to many industrial processes such as froth flotation and biomedical engineering. During the impact, a liquid film becomes trapped between the bubble and the solid surface. The pressure buildup in this film leads to the generation of a film force. The drainage rate of this film plays a crucial role in dictating the bouncing process and is known to be a function of the radial film size. However, radial film size is not an easily attained experimental measurement and requires advanced instrumentation to capture. The bouncing process has been characterized using nondimensional numbers that are representative of the bubble collision and film drainage phenomena. These are: Bond number (Bo), Archimedes number (Ar), Froude number (Fr), and the ratio of film force to buoyancy force (FF/FB). These numbers are used to define a predictive function for film radius. Experimentally validated numerical modeling has been implemented to determine the relationship between the four nondimensional numbers, and a quasi-static model is employed to relate the film force to the radial film size. Comparison of our experimental results is in agreement with the predicted film size within ±20%. From these results, the radial film size during bubble impact with a solid surface may be predicted using the easily measurable experimental parameters of bubble size, bubble impact velocity, and the liquid properties.

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Figures

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Fig. 1

Schematic of a bubble collision with a solid surface

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Fig. 2

Schematic of experimental setup used to capture bubble collisions with a solid surface

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Fig. 3

Sequence of images showing the collision of a bubble with a glass surface. Initial distance between the needle tip and surface is 4.1 mm.

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Fig. 4

Variation in bubble trajectory with change in distance between needle tip and glass surface, L

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Fig. 5

Interference patterns formed during the third collision of a bubble with a glass surface where L = 4.1 mm. Scale bar in first image is 0.25 mm.

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Fig. 6

Evolution of film rupture and three-phase contact formation

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Fig. 7

Interferometric patterns in subsequent collisions of a bubble with a glass surface where L = 4.1 mm. Scale bar in first image is 0.25 mm.

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Fig. 8

Nondimensional plot of film force to buoyancy force ration for: (a) bubbles impacting at terminal velocity and (b) bubbles with Ar = 100 impacting at nonterminal velocity

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Fig. 9

Nondimensional plot of film radius for: (a) bubbles impacting at terminal velocity and (b) bubbles with Ar = 100 impacting at nonterminal velocity

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Fig. 10

Comparison between experimental and predicted film radius

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