Discharge flow of granular particles through an orifice on a horizontal hopper: Effect of the hopper angle

doi:10.1088/1674-1056/ab7b51

中国物理B ›› 2020, Vol. 29 ›› Issue (4): 44502-044502.doi: 10.1088/1674-1056/ab7b51

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Discharge flow of granular particles through an orifice on a horizontal hopper: Effect of the hopper angle

Xin Wang(王欣), Hong-Wei Zhu(朱红伟), Qing-Fan Shi(史庆藩), Ning Zheng(郑宁)

School of Physics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2019-12-17 修回日期:2020-01-06 出版日期:2020-04-05 发布日期:2020-04-05
通讯作者: Qing-Fan Shi, Ning Zheng E-mail:qfshi123@bit.edu.cn;ningzheng@bit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11475018 and 11974044) and the National Key Research and Development Program of China (Grant 2016YFC1401001).

Discharge flow of granular particles through an orifice on a horizontal hopper: Effect of the hopper angle

Xin Wang(王欣), Hong-Wei Zhu(朱红伟), Qing-Fan Shi(史庆藩), Ning Zheng(郑宁)

School of Physics, Beijing Institute of Technology, Beijing 100081, China

Received:2019-12-17 Revised:2020-01-06 Online:2020-04-05 Published:2020-04-05
Contact: Qing-Fan Shi, Ning Zheng E-mail:qfshi123@bit.edu.cn;ningzheng@bit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11475018 and 11974044) and the National Key Research and Development Program of China (Grant 2016YFC1401001).

摘要/Abstract

摘要： We experimentally investigate the effect of the hopper angle on the flow rate of grains discharged from a two-dimensional horizontal hopper on a conveyor belt. The flow rate grows with the hopper angle, and finally reaches a plateau. The curve feature appears to be similar for different orifice widths and conveyor belt-driven velocities. On the basis of an empirical law of flow rate for a flat-bottom hopper, we propose a modified equation to describe the relation between the flow rate and hopper angle, which is in a good agreement with the experimental results.

关键词: granular flow, flow rate, hopper angle, Beverloo law

Abstract: We experimentally investigate the effect of the hopper angle on the flow rate of grains discharged from a two-dimensional horizontal hopper on a conveyor belt. The flow rate grows with the hopper angle, and finally reaches a plateau. The curve feature appears to be similar for different orifice widths and conveyor belt-driven velocities. On the basis of an empirical law of flow rate for a flat-bottom hopper, we propose a modified equation to describe the relation between the flow rate and hopper angle, which is in a good agreement with the experimental results.

Key words: granular flow, flow rate, hopper angle, Beverloo law

中图分类号: (Granular flow: mixing, segregation and stratification)

45.70.Mg

47.56.+r (Flows through porous media)

王欣, 朱红伟, 史庆藩, 郑宁. Discharge flow of granular particles through an orifice on a horizontal hopper: Effect of the hopper angle[J]. 中国物理B, 2020, 29(4): 44502-044502.

Xin Wang(王欣), Hong-Wei Zhu(朱红伟), Qing-Fan Shi(史庆藩), Ning Zheng(郑宁). Discharge flow of granular particles through an orifice on a horizontal hopper: Effect of the hopper angle[J]. Chin. Phys. B, 2020, 29(4): 44502-044502.

参考文献 29

[1]	Nedderman R M 1992 Statics and Kinematics of Granular Materials (Cambridge: Cambridge University Press) p. 301
[2]	Helbing D, Johansson A, Mathiesen J, Jensen M H and Hansen A 2006 Phys. Rev. Lett. 97 168001 doi: 10.1103/PhysRevLett.97.168001
[3]	Helbing I F D and Vicsek T 2000 Nature 407 487 doi: 10.1038/35035023
[4]	Janda A, Zuriguel I and Maza D 2012 Phys. Rev. Lett. 108 248001 doi: 10.1103/PhysRevLett.108.248001
[5]	Wang T W, Li X, Wu Q Q, Jiao T F, Liu X Y, Sun M, Hu F L and Huang D C 2018 Chin. Phys. B 27 124704 doi: 10.1088/1674-1056/27/12/124704
[6]	Chen K, Stone M B, Barry R, Lohr M, McConville W, Klein K, Sheu B L, Morss A J, Scheidemantel T and Schiffer P 2006 Phys. Rev. E 74 011306 doi: 10.1103/PhysRevE.74.011306
[7]	Wen P, Zheng N, Nian J, Li L S and Shi Q F 2015 Sci. Rep. 5 09880 doi: 10.1038/srep09880
[8]	Zuriguel I, Janda A, Garcimartín A, Lozano C, Arévalo R and Maza D 2011 Phys. Rev. Lett. 107 278001 doi: 10.1103/PhysRevLett.107.278001
[9]	Lozano C, Janda A, Garcimartín A, Maza D and Zuriguel I 2012 Phys. Rev. E 86 031306 doi: 10.1103/PhysRevE.86.031306
[10]	Yanagisawa D, Kimura A, Tomoeda A, Nishi R, Suma Y, Ohtsuka K and Nishinari K 2009 Phys. Rev. E 80 036110 doi: 10.1103/PhysRevE.80.036110
[11]	Zuriguel I, Olivares J, Pastor J M, MartínG ómez C, Ferrer L M, Ramos J J and Garcimartín A 2016 Phys. Rev. E 94 032302
[12]	Yang S C and Hsiau S S 2001 Powder Technol. 120 244 doi: 10.1016/S0032-5910(01)00277-7
[13]	Anand A, Curtis J S, Wassgren C R, Hancock B C and Ketterhagen W R 2008 Chem. Eng. Sci. 63 5821 doi: 10.1016/j.ces.2008.08.015
[14]	Choi J, Kudrolli A and Bazant M Z 2005 J. Phys: Condens. Matter. 17 S2533
[15]	Uñac R O, Vidales A M, Benegas O A and Ippolito I 2012 Powder Technol. 225 013
[16]	Benyamine M, Aussillous P and Dalloz D B 2017 EP J. Web Conferences 140 03043 doi: 10.1051/epjconf/201714003043
[17]	Yang L N and Chen Y Q 2019 Chin. Phys. Lett. 36 024501 doi: 10.1088/0256-307X/36/2/024501
[18]	Wan J, Wang F, Yang G, Zhang S, Wang M, Lin P and Yang L 2018 Powder Technol. 335 147 doi: 10.1016/j.powtec.2018.03.041
[19]	Alonso-Marroquin F, Azeezullah S I, Galindo-Torres S A and Olsen-Kettle L M 2012 Phys. Rev. E 85 020301
[20]	Aguirre M A, Grande J G, Calvo A, Pugnaloni L A and Géminard J C 2010 Phys. Rev. Lett. 104 238002 doi: 10.1103/PhysRevLett.104.238002
[21]	De S B, Xun S Z, Guang L X, Zheng Q P, Xiao W T and Kun Q L 2003 Phys. Rev. E 67 062301
[22]	Cordero M J and Pugnaloni L A 2015 Powder Technol. 272 290 doi: 10.1016/j.powtec.2014.12.017
[23]	Aguirre M A, De Schant R and Géminard J C 2014 Phys. Rev. E 90 012203 doi: 10.1103/PhysRevE.90.012203
[24]	Zhu H W, Wang L P, Shi Q F, Li L S and Zheng N 2019 Powder Technol. 345 053
[25]	Helbing D 2001 Rev. Mod. Phys. 73 1067 doi: 10.1103/RevModPhys.73.1067
[26]	Nedderman R M and Laohakul C 1980 Powder Technol. 25 91 doi: 10.1016/0032-5910(80)87014-8
[27]	Fowler R T and Glastonbury J R 1959 Chem. Eng. Sci. 10 150 doi: 10.1016/0009-2509(59)80042-7
[28]	Manuel J C and Luis A P 2015 Powder. Technol. 272 290 doi: 10.1016/j.powtec.2014.12.017
[29]	Mankoc C, Janda A, Arévalo R, Pastor J M, Zuriguel I, Garcimartín A and Maza D 2007 Granul. Matter. 9 407 doi: 10.1007/s10035-007-0062-2

Discharge flow of granular particles through an orifice on a horizontal hopper: Effect of the hopper angle

Discharge flow of granular particles through an orifice on a horizontal hopper: Effect of the hopper angle

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 29

相关文章 5

Metrics

本文评价

推荐阅读 0

[1]	王廷伟, 李鑫, 武倩倩, 矫滕菲, 刘行易, 孙敏, 胡凤兰, 黄德财. Numerical simulations of dense granular flow in a two-dimensional channel:The role of exit position[J]. 中国物理B, 2018, 27(12): 124704-124704.
[2]	邓荣轩, 张浩然, 张燕辉, 陈志蓥, 隋妍萍, 葛晓明, 梁逸俭, 胡诗珂, 于广辉, 姜达. Graphene/Mo₂C heterostructure directly grown by chemical vapor deposition[J]. 中国物理B, 2017, 26(6): 67901-067901.
[3]	张林, 马国佳, 林国强, 马贺, 韩克昌. Influences of nitrogen flow rate on the structures and properties of Ti and N co-doped diamond-like carbon films deposited by arc ion plating[J]. 中国物理B, 2014, 23(4): 48102-048102.
[4]	韩晓艳, 侯国付, 张晓丹, 魏长春, 李贵君, 张德坤, 陈新亮, 孙健, 张建军, 赵颖, 耿新华. Influence of the total gas flow rate on high rate growth microcrystalline silicon films and solar cells[J]. 中国物理B, 2009, 18(8): 3563-3567.
[5]	高艳涛, 张晓丹, 赵颖, 孙健, 朱峰, 魏长春, 陈飞. Influence of total gas flow rate on microcrystalline silicon films prepared by VHF-PECVD[J]. 中国物理B, 2006, 15(5): 1110-1113.