The effect of nonlinear drag on the rise velocity of bubbles in turbulence

Ruth, Daniel; Vernet, Marlone; Perrard, Stéphane; Deike, Luc

doi:10.1017/jfm.2021.556

Cited by 12 publications

(16 citation statements)

References 52 publications

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“…Turbulence in a 0.37 water tank is generated by the convergence of eight turbulent jets created by four submerged water pumps, as sketched in figure 1( a ) and described in greater detail in Ruth et al. (2021). The flow from each pump is split into two parallel jets at a Y, with each outlet separated by 7.8 cm, with the centres of the Ys forming the vertices of a 25 cm square in the horizontal plane.…”

Section: Experimental Set-upmentioning

confidence: 99%

“…As described in Ruth et al. (2021), we compute the integral length scale locally at each point in the flow by integrating the spatial autocorrelation function. It changes throughout the experiment, being the shortest where the turbulence is the strongest.…”

Section: Experimental Set-upmentioning

confidence: 99%

“…We refer to Ruth et al. (2021) for more details on the structure of the turbulence field and for maps of turbulent quantities outside of the central plane.…”

Section: Experimental Set-upmentioning

confidence: 99%

“…Smaller bubbles or bubbles in regions of more intense turbulence will rise slower than others (see, for example, Ruth et al. 2021); accounting for these effects requires detailed knowledge of the size dependencies of the bubbles’ motions.…”

Section: Introductionmentioning

confidence: 99%

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Experimental observations and modelling of sub-Hinze bubble production by turbulent bubble break-up

et al. 2022

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We present experiments on large air cavities spanning a wide range of sizes relative to the Hinze scale $d_{H}$ , the scale at which turbulent stresses are balanced by surface tension, disintegrating in turbulence. For cavities with initial sizes $d_0$ much larger than $d_{H}$ (probing up to $d_0/d_{H} = 8.3$ ), the size distribution of bubbles smaller than $d_{H}$ follows $N(d) \propto d^{-3/2}$ , with $d$ the bubble diameter. The capillary instability of ligaments involved in the deformation of the large bubbles is shown visually to be responsible for the creation of the small bubbles. Turning to dynamical, three-dimensional measurements of individual break-up events, we describe the break-up child size distribution and the number of child bubbles formed as a function of $d_0/d_{H}$ . Then, to model the evolution of a population of bubbles produced by turbulent bubble break-up, we propose a population balance framework in which break-up involves two physical processes: an inertial deformation to the parent bubble that sets the size of large child bubbles, and a capillary instability that sets the size of small child bubbles. A Monte Carlo approach is used to construct the child size distribution, with simulated stochastic break-ups constrained by our experimental measurements and the understanding of the role of capillarity in small bubble production. This approach reproduces the experimental time evolution of the bubble size distribution during the disintegration of large air cavities in turbulence.

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Section: Experimental Set-upmentioning

confidence: 99%

Section: Experimental Set-upmentioning

confidence: 99%

“…We refer to Ruth et al. (2021) for more details on the structure of the turbulence field and for maps of turbulent quantities outside of the central plane.…”

Section: Experimental Set-upmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental observations and modelling of sub-Hinze bubble production by turbulent bubble break-up

et al. 2022

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“…The useable vertical span resolved in the middle of the tank extends from z = −10 cm to z = 2 cm. Three-dimensional bubble positions are determined by mapping each cameras' pixels to incoming light rays in physical space following Machicoane et al (2019), and finding the locations at which rays intersecting bubble images nearly coincide, as discussed in Ruth et al (2021). Individual bubble positions are then linked temporally into bubble trajectories using the Python package Trackpy (Allen et al, 2021), which implements the algorithm from Crocker and Grier (1996).…”

Section: Stereo Vision Measurements Of Bubble Dynamicsmentioning

confidence: 99%

Three‐Dimensional Measurements of Air Entrainment and Enhanced Bubble Transport During Wave Breaking

Ruth

Néel

Erinin

et al. 2022

Geophysical Research Letters

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We experimentally investigate the depth distributions and dynamics of air bubbles entrained by breaking waves in a wind‐wave channel over a range of breaking wave conditions using high‐resolution imaging and three‐dimensional bubble tracking. Below the wave troughs, the bubble concentration decays exponentially with depth. Patches of entrained bubbles are identified for each breaking wave, and statistics describing the horizontal and vertical transport are presented. Aggregating our results, we find a stream‐wise transport faster than the associated Stokes drift and modified Stokes drift for buoyant particles, which is an effect not accounted for in current models of bubble transport. This enhancement in transport is attributed to the flow field induced by the breaking waves and is relevant for the transport of bubbles, oil droplets, and microplastics at the ocean surface.

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Mechanisms and modeling of bubble dynamic behaviors and mass transfer under gravity: A review

Yan

Wang

Zhu

et al. 2023

Chemical Engineering Science

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The effect of nonlinear drag on the rise velocity of bubbles in turbulence

Abstract: Abstract

Cited by 12 publications

References 52 publications

Experimental observations and modelling of sub-Hinze bubble production by turbulent bubble break-up

Experimental observations and modelling of sub-Hinze bubble production by turbulent bubble break-up

Three‐Dimensional Measurements of Air Entrainment and Enhanced Bubble Transport During Wave Breaking

Mechanisms and modeling of bubble dynamic behaviors and mass transfer under gravity: A review

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