Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell

doi:10.1063/5.0016080

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	Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell
	Xu, Xianmin 1; Doi, Masao 2; Zhou, Jiajia 3,4; Di, Yana 3,4
	2020-09-01
发表期刊	PHYSICS OF FLUIDS
ISSN	1070-6631
卷号	32 期号:9 页码:10
摘要	We calculate the shape and the velocity of a bubble rising in an infinitely large and closed Hele-Shaw cell using Park and Homsy's boundary condition, which accounts for the change of the three dimensional structure in the perimeter zone. We first formulate the problem in the form of a variational problem and discuss the shape change assuming that the bubble takes an elliptic shape. We calculate the shape and the velocity of the bubble as a function of the bubble size, the gap distance, and the inclination angle of the cell. We show that the bubble is flattened as it rises. This result is in agreement with experiments for large Hele-Shaw cells. Published under license by AIP Publishing.
DOI	10.1063/5.0016080
收录类别	SCI
语种	英语
资助项目	National Key R&D Program of China[2018YFB0704304] ; National Key R&D Program of China[2018YFB0704300] ; National Natural Science Foundation of China[11971469] ; National Natural Science Foundation of China[11421110001] ; National Natural Science Foundation of China[21774004] ; National Natural Science Foundation of China[11771437]
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000568836500002
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52182
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Xianmin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC,ICMSEC, Beijing 100190, Peoples R China 2.Beihang Univ, Ctr Soft Matter Phys & Its Applicat, 37 Xueyuan Rd, Beijing 100191, Peoples R China 3.Beijing Normal Univ, Inst Math Res, Div Sci & Technol, BNU HKBU United Int Coll, Zhuhai 519087, Peoples R China 4.UIC, Zhuhai 519087, Peoples R China
推荐引用方式 GB/T 7714	Xu, Xianmin,Doi, Masao,Zhou, Jiajia,et al. Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell[J]. PHYSICS OF FLUIDS,2020,32(9):10.
APA	Xu, Xianmin,Doi, Masao,Zhou, Jiajia,&Di, Yana.(2020).Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell.PHYSICS OF FLUIDS,32(9),10.
MLA	Xu, Xianmin,et al."Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell".PHYSICS OF FLUIDS 32.9(2020):10.