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Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell
Xu, Xianmin1; Doi, Masao2; Zhou, Jiajia3,4; Di, Yana3,4
2020-09-01
Source PublicationPHYSICS OF FLUIDS
ISSN1070-6631
Volume32Issue:9Pages:10
AbstractWe 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.
DOI10.1063/5.0016080
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
WOS IDWOS:000568836500002
PublisherAMER INST PHYSICS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/52182
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXu, Xianmin
Affiliation1.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
Recommended Citation
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.
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