The rise velocity and shape of bubbles in pure water at high Reynolds number

Duineveld, Paul C.

doi:10.1017/s0022112095001546

Cited by 340 publications

(252 citation statements)

References 14 publications

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“…The test showed that the ultrasound velocity measurements are consistent within 2% of the camera data. We measure top speeds of our bubbles typically about 36 cm/s, which is consistent with other experimental measurements [2,9,30]. The relative accuracy of our velocity measurements is more precise, typically ±1 mm/s, or about 0.2% accuracy.…”

Section: Experimental Apparatus and Methodssupporting

confidence: 88%

“…It has been shown by other experimental studies that the bubble is close to an oblate ellipsoid [7,9,10]. Since we do not make such measurements, we use the experimental results of Duineveld [9] to estimate the shape of our bubbles. Wu and Gharib [30] measured aspect ratios which confirm Duineveld's results.…”

Section: Experimental Apparatus and Methodsmentioning

confidence: 99%

“…It is known that small bubbles rise more slowly in tap water compared to highly purified water due to contamination of the air-water interface with surfactants (e.g. [6,9]). Nonetheless, several observations suggest that surfactant effects are not greatly influencing the dynamics of our bubbles, probably because of their larger size.…”

Section: Experimental Apparatus and Methodsmentioning

confidence: 99%

“…The second term on the right refines the calculation accounting for the rotational flow in thin boundary layers and a long thin wake. Note that Moore's prediction of χ(R) does not agree with experiments [9] and therefore one must obtain the aspect ratio empirically.…”

Section: B Hydrodynamic Forces and Torquesmentioning

confidence: 98%

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Force measurements on rising bubbles

Shew¹,

Poncet²,

Pinton³

2006

J. Fluid Mech.

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The dynamics of millimeter sized air bubbles rising through still water are investigated using precise ultrasound velocity measurements combined with high speed video. From measurements of speed and three dimensional trajectories we deduce the forces on the bubble which give rise to planar zigzag and spiraling motion. I. BACKGROUNDAn understanding of bubble-fluid interactions is important in a broad range of natural, engineering, and medical settings. Air-sea gas transfer, bubble column reactors, oil/natural gas transport, boiling heat transfer, ship hydrodynamics, ink-jet printing and medical ultrasound imaging are just a few examples where the dynamics of bubbles play a role (e.g [6,16,26]).We narrow our focus to a single air bubble rising through still water. The buoyant force which drives the bubble's rise does work resulting in an increase in kinetic energy of the surrounding fluid. This induced flow, in turn, gives rise to hydrodynamic forces on the bubble and hence changes in the bubble trajectory. The measurement of these forces is the aim of the experimental work presented here Our study includes a range of bubble sizes between 0.84 and 1.2 mm in radius. At the small end of this range the bubble's path is rectilinear. As the bubble size is increased, one observes a transition to a planar zigzag path [8,23]. A second instability, often preceded by the zigzag, results in a spiraling path [5,8,15,23]. For even larger bubbles, a third type of oscillating path occurs, which has similarities to the zigzag, sometimes called "rocking". We do not address this state and emphasize that it is different than the zigzag mentioned above. Unlike the zigzag state that we study, the rocking bubble undergoes dramatic shape oscillations and the frequency of path oscillation is several times higher than the zigzag or spiral [5,15]. Our approach is to use well resolved measurements of three-dimensional bubble trajectories to calculate the hydrodynamic forces on the bubbles. Other recent studies have investigated path instabilities with special attention paid to the role of the bubble's wake. Lunde and Perkins [15] used dye to observe the wake of ascending bubbles and solid particles. Brücker [5] used particle image velocimetry to study the wake of large spiraling and rocking bubbles. Mougin and Magnaudet [22,23] These studies have revealed a wake consisting of two long, thin, parallel vortices aligned with the bubble's path. One vortex rotates clockwise and the other counter-clockwise. For a spiraling bubble the wake vortices are continuously generated, while they are interrupted twice per period of path oscillation for the zigzag. Mougin and Magnaudet [22,23] observed a nearly identical wake structure in their numerical simulations (see also [24]). It is believed that the wake vortices play a critical role in generating hydrodynamic forces on the bubble.In the next section we describe the experimental apparatus and measurement techniques, as well a typical bubble trajectory. In section III, we present a method for extracti...

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Section: Experimental Apparatus and Methodssupporting

confidence: 88%

Section: Experimental Apparatus and Methodsmentioning

confidence: 99%

Section: Experimental Apparatus and Methodsmentioning

confidence: 99%

Section: B Hydrodynamic Forces and Torquesmentioning

confidence: 98%

See 2 more Smart Citations

Force measurements on rising bubbles

Shew¹,

Poncet²,

Pinton³

2006

J. Fluid Mech.

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“…We consider bubbles in the range of equivalent radius r b = (0.7-1.1) mm corresponding to the flow regime where surface tension forces have dominant influence as described by Tomiyama [50]. Smaller bubbles (r b < 0.91) have a stable rectilinear path while larger bubbles have unstable zig-zag and/or helicoidal path [51,52]. The bubble shape in the considered range is stable and very closely resembles an oblate ellipsoid with the minor axis nearly in the direction of the tangent to the bubble path [53].…”

Section: Free Rising Air Bubble In Watermentioning

confidence: 99%

A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow

2012

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a b s t r a c tThis paper describes a moving mesh interface tracking method implemented in OpenFOAM for simulating three-dimensional (3-D) incompressible and immiscible two-phase interfacial fluid flows with dominant surface tension forces. Collocated finite volume (FV) method is used for spatial discretisation of Navier-Stokes equations on moving polyhedral mesh. The mesh consists of two parts separated on interface. Fluid flow is solved on each mesh separately and coupling is accomplished in an iterative manner by enforcing the kinematic and dynamic condition at the interface. Surface tension force is calculated on arbitrary polygonal surface mesh with second order accuracy using a ''force-conservative'' approach. Arbitrary polyhedral mesh adapts to the time-varying shape of the interface using vertex-based automatic mesh motion solver which calculates the motion of internal points based on the prescribed motion of interface points by solving the variable diffusivity Laplace equation discretised using the finite element method. The overall solution procedure based on iterative PISO algorithm with modified Rhie-Chow interpolation is second-order accurate in space and time, as is confirmed by numerical experiments on small amplitude sloshing in a two-dimensional (2-D) tank, 3-D droplet oscillation and buoyant rise of a 3-D air bubble in water. Numerical results are found to be in excellent agreement with available theoretical and experimental results.

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A Companion to Ancient Greek Government

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The rise velocity and shape of bubbles in pure water at high Reynolds number

Cited by 340 publications

References 14 publications

Force measurements on rising bubbles

Force measurements on rising bubbles

A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow

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