Criteria for Beverloo's scaling law

doi:10.1088/1674-1056/28/1/018101

中国物理B ›› 2019, Vol. 28 ›› Issue (1): 18101-018101.doi: 10.1088/1674-1056/28/1/018101

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Criteria for Beverloo's scaling law

Sheng Zhang(张晟), Ping Lin(林平), Guanghui Yang(杨光辉), Jiang-Feng Wan(万江锋), Yuan Tian(田园), Lei Yang(杨磊)

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

收稿日期:2018-09-27 修回日期:2018-10-27 出版日期:2019-01-05 发布日期:2019-01-05
通讯作者: Ping Lin E-mail:pinglin@impcas.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11705256 and 11605264).

Criteria for Beverloo's scaling law

Sheng Zhang(张晟), Ping Lin(林平), Guanghui Yang(杨光辉), Jiang-Feng Wan(万江锋), Yuan Tian(田园), Lei Yang(杨磊)

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Received:2018-09-27 Revised:2018-10-27 Online:2019-01-05 Published:2019-01-05
Contact: Ping Lin E-mail:pinglin@impcas.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11705256 and 11605264).

摘要/Abstract

摘要：

Beverloo's scaling law can describe the flow rate of grains discharging from hoppers. In this paper, we show that the Beverloo's scaling law is valid for varying material parameters. The flow rates from a hopper with different hopper and orifice sizes (D, D₀) are studied by running large-scale simulations. When the hopper size is fixed, the numerical results show that Beverloo's law is valid even if the orifice diameter is very large and then the criteria for this law are discussed. To eliminate the effect of walls, it is found that the criteria can be suggested as D-D₀ ≥ 40d or D/D₀ ≥ 2. Interestingly, it is found that there is still a scaling relation between the flow rate and orifice diameter if D/D₀ is fixed and less than 2. When the orifice diameter is close to the hopper size, the velocity field changes and the vertical velocities of grains above the free fall region are much larger. Then, the free fall arch assumption is invalid and Beverloo's law is inapplicable.

关键词: Beverloo', s law, orifice diameter, hopper size, discrete element method

Abstract:

Key words: Beverloo', s law, orifice diameter, hopper size, discrete element method

中图分类号: (Porous materials; granular materials)

81.05.Rm

张晟, 林平, 杨光辉, 万江锋, 田园, 杨磊. Criteria for Beverloo's scaling law[J]. 中国物理B, 2019, 28(1): 18101-018101.

Sheng Zhang(张晟), Ping Lin(林平), Guanghui Yang(杨光辉), Jiang-Feng Wan(万江锋), Yuan Tian(田园), Lei Yang(杨磊). Criteria for Beverloo's scaling law[J]. Chin. Phys. B, 2019, 28(1): 18101-018101.

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Criteria for Beverloo's scaling law

Criteria for Beverloo's scaling law

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