Size scaling relation of velocity field in granular flows and the Beverloo law
文献类型：期刊论文
| 作者 | Hu, Gaoke1,2; Lin, Ping3 ; Zhang, Yongwen1,2; Li, Liangsheng4; Yang, Lei3; Chen, Xiaosong1,2
|
| 刊名 | GRANULAR MATTER
 |
| 出版日期 | 2019-05-01 |
| 卷号 | 21期号:2页码:6 |
| 关键词 | Granular flow Beverloo law Size scaling relation |
| ISSN号 | 1434-5021 |
| DOI | 10.1007/s10035-019-0872-z |
| 英文摘要 | In a hopper with cylindrical symmetry and an aperture of radius R, the vertical velocity of granular flow v z depends on the distance from the hopper's center r and the height above the aperture z and v z = v z (r, z; R). We propose that the scaled vertical velocity v z (r, z; R)/v z (0, 0; R) is a function of scaled variables r/R r and z/R z, where R r = R - 0.5d and R z = R - k 2 d with the granule diameter d and a parameter k 2 to be determined. After scaled by v 2 z (0, 0; R)/R z, the effective acceleration a eff (r, z; R) derived from v z is a function of r/R r and z/R z also. The boundary condition a eff (0, 0; R) = - g of granular flows under earth gravity g gives rise to v z (0, 0; R). v g R - k 2 d 1/2. Our simulations using the discrete element method and GPU program in the three- dimensional and the two- dimensional hoppers confirm the size scaling relations of v z (r, z; R) and v z (0, 0; R). From the size scaling relations, we obtain the mass flow rate of D- dimensional hopper W. v g(R - 0.5d) D- 1 (R - k 2 d) 1/2, which agrees with the Beverloo law at R >> d. It is the size scaling of vertical velocity field that results in the dimensional R- dependence of W in the Beverloo law. |
| WOS关键词 | DISCHARGE ; HOPPER ; MODEL |
| 资助项目 | National Magnetic Confinement Fusion Science Program of China[2014GB104002] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDA03030100] ; National natural Science Foundation of China[11421063] |
| WOS研究方向 | Materials Science ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000459976400001 |
| 出版者 | SPRINGER |
| 资助机构 | National Magnetic Confinement Fusion Science Program of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; National natural Science Foundation of China |
| 源URL | [http://119.78.100.186/handle/113462/134589]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Chen, Xiaosong |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Inst Modern Phys, 509 Nanchang Rd, Lanzhou 730000, Gansu, Peoples R China 4.Sci & Technol Electromagnet Scattering Lab, Beijing 100854, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Gaoke,Lin, Ping,Zhang, Yongwen,et al. Size scaling relation of velocity field in granular flows and the Beverloo law[J]. GRANULAR MATTER,2019,21(2):6. |
| APA | Hu, Gaoke,Lin, Ping,Zhang, Yongwen,Li, Liangsheng,Yang, Lei,&Chen, Xiaosong.(2019).Size scaling relation of velocity field in granular flows and the Beverloo law.GRANULAR MATTER,21(2),6. |
| MLA | Hu, Gaoke,et al."Size scaling relation of velocity field in granular flows and the Beverloo law".GRANULAR MATTER 21.2(2019):6. |
入库方式： OAI收割
来源：近代物理研究所
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