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Closed equation model for cavity evolution in granular media

文献类型：期刊论文

作者Zeng, Junsheng3,4; Meng BQ(孟宝清)2; Ye, Xiaoyan1; Tian, Baolin3,4
刊名JOURNAL OF FLUID MECHANICS
出版日期2024-09-26
卷号996页码:21
关键词gas dynamics particle/fluid flows bubble dynamics
ISSN号0022-1120
DOI10.1017/jfm.2024.759
通讯作者Meng, Baoqing(mengbaoqing92@foxmail.com) ; Ye, Xiaoyan(yexy@lzu.edu.cn)
英文摘要Cavity evolution in granular media is crucial in explosion-driven gas-particle flows, particularly in many engineering applications. In this study, a theoretical model was first proposed to describe the cavity evolution in granular media by extending the classical Rayleigh-Plesset model. A closed equation set comprising the radius, pressure and gas leak-off velocity equations was built by considering the gas expansion and non-Darcy gas-penetration effects. Both centrally symmetric and non-centrally symmetric cases of gas injection into granular media were investigated. Especially for modelling the non-symmetric scenario, the radius and gas leak-off velocity equations were proposed in each radial direction with angle $\theta$, and then the pressure equation was built up based on the integral gas leak-off along the cavity outline. Through non-dimensionalizing the theoretical equations, four key dimensionless numbers Pi(1),Pi(4) were obtained to characterize the response time of cavity expansion and the intensity of non-Darcy effects for both cases. This allowed us to determine a scaling law of effective cavity radius R-eff = root 2 Pi(2)/(7 pi)t*(1/2 )and the critical time t(cr)*= root 12.5/Pi(1) for two-dimensional cavity evolution. Additionally, the necessity of incorporating non-Darcy effects was ascertained under conditions of Pi(4 )>400. The findings demonstrate that the proposed theoretical equations effectively predict the cavity evolution results under various operational conditions (0.7 < Pi(1)< 7 x 10(2), 3 < Pi(4)<1.1 10(3)), as validated by refined Euler-Lagrange numerical simulations.
分类号一类/力学重要期刊
WOS关键词DYNAMICS
资助项目National Natural Science Foundation of China[12202072] ; National Natural Science Foundation of China[12172156] ; National Natural Science Foundation of China[12472262] ; National Natural Science Foundation of China[12432012] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDB0620203]
WOS研究方向Mechanics ; Physics
语种英语
WOS记录号WOS:001320369100001
资助机构National Natural Science Foundation of China ; Strategic Priority Research Program of Chinese Academy of Sciences
其他责任者Meng, Baoqing ; Ye, Xiaoyan
源URL[http://dspace.imech.ac.cn/handle/311007/96859]  
专题力学研究所_高温气体动力学国家重点实验室
作者单位1.Lanzhou Univ, Coll Civil Engn & Mech, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou, Peoples R China
2.Chinese Acad Sci, Inst Mech, Beijing, Peoples R China;
3.Shanghai Zhangjiang Inst Math, Shanghai, Peoples R China;
4.Beihang Univ, chool Aeronaut Sci & Engn, Beijing, Peoples R China;
推荐引用方式
GB/T 7714		 Zeng, Junsheng,Meng BQ,Ye, Xiaoyan,et al. Closed equation model for cavity evolution in granular media[J]. JOURNAL OF FLUID MECHANICS,2024,996:21.
APA Zeng, Junsheng,孟宝清,Ye, Xiaoyan,&Tian, Baolin.(2024).Closed equation model for cavity evolution in granular media.JOURNAL OF FLUID MECHANICS,996,21.
MLA Zeng, Junsheng,et al."Closed equation model for cavity evolution in granular media".JOURNAL OF FLUID MECHANICS 996(2024):21.

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来源：力学研究所

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