Flow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid
In the motion of two spherical bubbles rising side by side, the bubbles are known to attract each other at a high Reynolds number (<i>Re</i> = <i>ρUd</i>/<i>μ</i>). Furthermore, spherical bubbles kiss and bounce under certain conditions; however, deformable bubble...
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oai:doaj.org-article:9d988921dfd44245871bb08d651e27562021-11-25T17:31:34ZFlow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid10.3390/fluids61103902311-5521https://doaj.org/article/9d988921dfd44245871bb08d651e27562021-11-01T00:00:00Zhttps://www.mdpi.com/2311-5521/6/11/390https://doaj.org/toc/2311-5521In the motion of two spherical bubbles rising side by side, the bubbles are known to attract each other at a high Reynolds number (<i>Re</i> = <i>ρUd</i>/<i>μ</i>). Furthermore, spherical bubbles kiss and bounce under certain conditions; however, deformable bubbles repel each other without kissing. This paper experimentally and numerically presents the flow structures and shape of the nonkissing repulsion of deformable bubbles. For the experimental analysis, we organized bubble behaviors by Galilei number (<i>Ga</i> = <i>ρg</i><sup>1/2</sup><i>d</i><sup>3/2</sup>/<i>μ</i>) and Bond number (<i>Bo</i> = <i>ρgd</i><sup>2</sup>/<i>σ</i>). The bubbles repelled each other without kissing near the unstable critical curve of a single bubble. The curvature inside the gap, which is similar to the shape of a zigzag behavior bubble, was large. For the numerical analysis, the velocity of the equatorial plane inside the gap was larger due to the potential interaction, although the velocity behind was the opposite due to the strengthened vorticity generated at the surface. Furthermore, the double-threaded wake emerged behind the interacting bubbles, and it showed that the rotation direction was repulsion regardless of whether the bubbles attracted or repelled each other. The streamline behind the bubbles in the 2D plane was from the outside to the inside.Hiroaki KusunoToshiyuki SanadaMDPI AGarticlebubblebubble–bubble interactionbubble shapebubble motionThermodynamicsQC310.15-319Descriptive and experimental mechanicsQC120-168.85ENFluids, Vol 6, Iss 390, p 390 (2021) |
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bubble bubble–bubble interaction bubble shape bubble motion Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 |
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bubble bubble–bubble interaction bubble shape bubble motion Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 Hiroaki Kusuno Toshiyuki Sanada Flow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid |
description |
In the motion of two spherical bubbles rising side by side, the bubbles are known to attract each other at a high Reynolds number (<i>Re</i> = <i>ρUd</i>/<i>μ</i>). Furthermore, spherical bubbles kiss and bounce under certain conditions; however, deformable bubbles repel each other without kissing. This paper experimentally and numerically presents the flow structures and shape of the nonkissing repulsion of deformable bubbles. For the experimental analysis, we organized bubble behaviors by Galilei number (<i>Ga</i> = <i>ρg</i><sup>1/2</sup><i>d</i><sup>3/2</sup>/<i>μ</i>) and Bond number (<i>Bo</i> = <i>ρgd</i><sup>2</sup>/<i>σ</i>). The bubbles repelled each other without kissing near the unstable critical curve of a single bubble. The curvature inside the gap, which is similar to the shape of a zigzag behavior bubble, was large. For the numerical analysis, the velocity of the equatorial plane inside the gap was larger due to the potential interaction, although the velocity behind was the opposite due to the strengthened vorticity generated at the surface. Furthermore, the double-threaded wake emerged behind the interacting bubbles, and it showed that the rotation direction was repulsion regardless of whether the bubbles attracted or repelled each other. The streamline behind the bubbles in the 2D plane was from the outside to the inside. |
format |
article |
author |
Hiroaki Kusuno Toshiyuki Sanada |
author_facet |
Hiroaki Kusuno Toshiyuki Sanada |
author_sort |
Hiroaki Kusuno |
title |
Flow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid |
title_short |
Flow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid |
title_full |
Flow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid |
title_fullStr |
Flow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid |
title_full_unstemmed |
Flow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid |
title_sort |
flow structure and deformation of two bubbles rising side by side in a quiescent liquid |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/9d988921dfd44245871bb08d651e2756 |
work_keys_str_mv |
AT hiroakikusuno flowstructureanddeformationoftwobubblesrisingsidebysideinaquiescentliquid AT toshiyukisanada flowstructureanddeformationoftwobubblesrisingsidebysideinaquiescentliquid |
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