Vortex ring and bubble interaction: effects of bubble size on vorticity dynamics and bubble dynamics
Vortex ring and bubble interaction: effects of bubble size on vorticity dynamics and bubble dynamics
Bubbly turbulent flows involve complex interactions between bubbles and vortices, in which their size ratio plays a critical role. The present work investigates an idealization, namely, the interaction of a single air bubble with a (water) vortex ring, with the focus being on the effects of the bubble-to-vortex core size ratio ( D b / D c , o ) on the bubble and ring dynamics (D b = bubble diameter and D c , o = initial vortex core diameter). The interaction is studied for size ratio, D b / D c , o , of 0.6-1.7, over a large Weber number range from 10 to 500 [ W e = 0.87 ρ ( Γ / π D c , o ) 2 / ( σ / D b ) , Γ = circulation]. On the bubble dynamics side, in the initial stages of the interaction after the bubble's capture by the ring, the bubble's radial equilibrium position, its azimuthal elongation, and breakup pattern are influenced by both D b / D c , o and We. However, at longer times, the results show that the We alone decides the broken bubbles to D b ratio and scales as W e −0.13 , which can be contrasted with the scaling of W e − 0.6 in isotropic turbulence [R. Shinnar, J. Fluid Mech. 10, 259-275 (1961)]. On the ring dynamics side, increasing D b / D c , o leads to larger deformation of the vortex ring core at low We, and these effects are significant above a critical D b / D c , o of about 1.2. Under these conditions, the vortex core can fragment, leading to large reductions in the ring's measured convection speed and axial enstrophy, both of which follow a similar scaling, ( D b / D c , o ) 2 / W e ; the reduction in enstrophy being reminiscent of bubbly turbulent flows. These results and scalings should help us to better understand and model bubble-turbulence interactions.
Biswas, Subhajit
66f05b88-e89e-45e0-a29e-f5fb7839527f
Govardhan, Raghuraman N.
851e2ce3-0ed2-433d-b2f0-bb1fb61fdbae
Biswas, Subhajit
66f05b88-e89e-45e0-a29e-f5fb7839527f
Govardhan, Raghuraman N.
851e2ce3-0ed2-433d-b2f0-bb1fb61fdbae
Biswas, Subhajit and Govardhan, Raghuraman N.
(2023)
Vortex ring and bubble interaction: effects of bubble size on vorticity dynamics and bubble dynamics.
Physics of Fluids A, 35 (8), [083328].
(doi:10.1063/5.0159766).
Abstract
Bubbly turbulent flows involve complex interactions between bubbles and vortices, in which their size ratio plays a critical role. The present work investigates an idealization, namely, the interaction of a single air bubble with a (water) vortex ring, with the focus being on the effects of the bubble-to-vortex core size ratio ( D b / D c , o ) on the bubble and ring dynamics (D b = bubble diameter and D c , o = initial vortex core diameter). The interaction is studied for size ratio, D b / D c , o , of 0.6-1.7, over a large Weber number range from 10 to 500 [ W e = 0.87 ρ ( Γ / π D c , o ) 2 / ( σ / D b ) , Γ = circulation]. On the bubble dynamics side, in the initial stages of the interaction after the bubble's capture by the ring, the bubble's radial equilibrium position, its azimuthal elongation, and breakup pattern are influenced by both D b / D c , o and We. However, at longer times, the results show that the We alone decides the broken bubbles to D b ratio and scales as W e −0.13 , which can be contrasted with the scaling of W e − 0.6 in isotropic turbulence [R. Shinnar, J. Fluid Mech. 10, 259-275 (1961)]. On the ring dynamics side, increasing D b / D c , o leads to larger deformation of the vortex ring core at low We, and these effects are significant above a critical D b / D c , o of about 1.2. Under these conditions, the vortex core can fragment, leading to large reductions in the ring's measured convection speed and axial enstrophy, both of which follow a similar scaling, ( D b / D c , o ) 2 / W e ; the reduction in enstrophy being reminiscent of bubbly turbulent flows. These results and scalings should help us to better understand and model bubble-turbulence interactions.
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POF_2023_Biswas_Govardhan_VortexRing_BubbleInteraction
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Accepted/In Press date: 4 August 2023
e-pub ahead of print date: 22 August 2023
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Funding information:
The support from the Science and Engineering Research Board (SERB, Reference No.: EMR/2017/004154), India, is acknowledged. UKRI Fellowship (No. MR/S015566/1) at the University of Southampton for S. Biswas is gratefully acknowledged.
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Local EPrints ID: 484975
URI: http://eprints.soton.ac.uk/id/eprint/484975
PURE UUID: c19ccfb0-29d7-447c-be0f-f2ce76bb69cf
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Date deposited: 27 Nov 2023 17:43
Last modified: 17 Mar 2024 05:04
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Author:
Subhajit Biswas
Author:
Raghuraman N. Govardhan
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