Modeling interaction between a Taylor bubble and small bubble in a rectangular column

Rohilla, Lokesh; Das, Arup Kumar

doi:10.1063/5.0024728

Cited by 8 publications

(2 citation statements)

References 51 publications

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“…Also, relevant to this study, two rows of identical bubbles, located symmetrically about the horizontal centreline, are also neutrally stable, whilst two rows of bubbles which are located asymmetrically about the horizontal centreline are unstable, see Pumir & Aref (1987). We remark that no stable multiple-bubble states have been observed in other confined systems and that in general the bubbles will always either separate or coalesce (Maxworthy 1986; Rohilla & Das 2020; Madec 2021).…”

Section: Introductionmentioning

confidence: 89%

The interaction of multiple bubbles in a Hele-Shaw channel

et al. 2022

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We study the dynamics of two air bubbles driven by the motion of a suspending viscous fluid in a Hele-Shaw channel with a small elevation along its centreline via physical experiment and numerical simulation of a depth-averaged model. For a single-bubble system we establish that, in general, the bubble propagation speed monotonically increases with bubble volume so that two bubbles of different sizes, in the absence of any hydrodynamic interactions, will either coalesce or separate in a finite time. However, our experiments indicate that the bubbles interact and that an unstable two-bubble state is responsible for the eventual dynamical outcome: coalescence or separation. These results motivate us to develop an edge-tracking routine and to calculate these weakly unstable two-bubble steady states from the governing equations. The steady states consist of pairs of ‘aligned’ bubbles that appear on the same side of the centreline with the larger bubble leading. We also discover, through time-dependent simulations and physical experiment, another class of two-bubble states that, surprisingly, are stable. In contrast to the ‘aligned’ steady states, these bubbles appear on either side of the centreline and are ‘offset’ from each other. We calculate the bifurcation structures of both classes of steady states as the flow rate and bubble volume ratio are varied. We find that they exhibit intriguing similarities to the single-bubble bifurcation structure, which has implications for the existence of $n$ -bubble steady states.

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Section: Introductionmentioning

confidence: 89%

The interaction of multiple bubbles in a Hele-Shaw channel

et al. 2022

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“…Also, relevant to this study, two rows of identical bubbles, located symmetrically about the horizontal centreline, is also neutrally stable, whilst two rows of bubbles which are located asymmetrically about the horizontal centreline is unstable, see [26]. We remark that no stable multiple-bubble states have been observed in other confined systems and that in general the bubbles will always either separate or coalesce [21,22,27].…”

Section: Introductionmentioning

confidence: 90%

The interaction of multiple bubbles in a Hele-Shaw channel

Keeler,

Gaillard,

Lawless

et al. 2021

Preprint

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We study the dynamics of two air bubbles driven by the motion of a suspending viscous fluid in a Hele-Shaw channel with a small elevation along its centreline via physical experiment and numerical simulation of a depth-averaged model. For a single-bubble system we establish that, in general, bubble propagation speed monotonically increases with bubble volume so that two bubbles of different sizes, in the absence of any hydrodynamic interactions will either coalesce or separate in a finite time. However our experiments indicate that the bubbles interact and that an unstable two-bubble state is responsible for the eventual dynamical outcome: coalescence or separation. These results motivate us to develop an edge-tracking routine and calculate these weakly unstable two-bubble steady states from the governing equations. The steady states consist of pairs of 'aligned' bubbles that appear on the same side of the centreline with the larger bubble leading. We also discover, through time-simulations and physical experiment, another class of two-bubble states which, surprisingly, consist of stable two-bubble steady states. In contrast to the 'aligned' steady states, these bubbles appear either side of the centreline and are 'offset' from each other. We calculate the bifurcation structures of both classes of steady states as the flow-rate and bubble volume ratio is varied. We find that they exhibit intriguing similarities to the single-bubble bifurcation structure, which has implications for the existence of n-bubble steady states.

show abstract