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Spatial and temporal scaling of unequal microbubble coalescence
Author(s) -
Chen Rou,
Yu Huidan Whitney,
Zhu Likun,
Patil Raveena M.,
Lee Taehun
Publication year - 2017
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.15504
Subject(s) - coalescence (physics) , bubble , scaling , power law , statistical physics , scaling law , lattice boltzmann methods , mechanics , physics , microbubbles , materials science , classical mechanics , mathematics , geometry , statistics , astrobiology , acoustics , ultrasound
We numerically study coalescence of air microbubbles in water, with density ratio 833 and viscosity ratio 50.5, using lattice Boltzmann method. The focus is on the effects of size inequality of parent bubbles on the interfacial dynamics and coalescence time. Twelve cases, varying the size ratio of large to small parent bubble from 5.33 to 1, are systematically investigated. The “coalescence preference,” coalesced bubble closer to the larger parent bubble, is well observed and the captured power‐law relation between the preferential relative distance χ and size inequality γ, χ ∼ γ − 2.079, is consistent to the recent experimental observations. Meanwhile, the coalescence time also exhibits power‐law scaling as T ∼ γ − 0.7, indicating that unequal bubbles coalesce faster than equal bubbles. Such a temporal scaling of coalescence on size inequality is believed to be the first‐time observation as the fast coalescence of microbubbles is generally hard to be recorded through laboratory experimentation. © 2016 American Institute of Chemical Engineers AIChE J , 63: 1441–1450, 2017