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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Autores principales: Hiroaki Kusuno, Toshiyuki Sanada
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/9d988921dfd44245871bb08d651e2756
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic bubble
bubble–bubble interaction
bubble shape
bubble motion
Thermodynamics
QC310.15-319
Descriptive and experimental mechanics
QC120-168.85
spellingShingle 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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