Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell
文献类型：期刊论文
| 作者 | Xu, Xianmin1; Doi, Masao3; Zhou, Jiajia2,4; Di, Yana2,4 |
| 刊名 | PHYSICS OF FLUIDS
 |
| 出版日期 | 2020-09-01 |
| 卷号 | 32期号:9页码:10 |
| ISSN号 | 1070-6631 |
| DOI | 10.1063/5.0016080 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000568836500002 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52181]  |
| 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.UIC, Zhuhai 519087, Peoples R China 3.Beihang Univ, Ctr Soft Matter Phys & Its Applicat, 37 Xueyuan Rd, Beijing 100191, Peoples R China 4.Beijing Normal Univ, Inst Math Res, Div Sci & Technol, BNU HKBU United Int Coll, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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