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

doi:10.1088/1674-1056/ab7b51

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.

Keywords: granular flow flow rate hopper angle Beverloo law

Received: 17 December 2019
Revised: 06 January 2020
Accepted manuscript online:

PACS:	45.70.Mg	(Granular flow: mixing, segregation and stratification)
	47.56.+r	(Flows through porous media)

Fund: 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).

Corresponding Authors: Qing-Fan Shi, Ning Zheng
E-mail: qfshi123@bit.edu.cn;ningzheng@bit.edu.cn

Cite this article:

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 2020 Chin. Phys. B 29 044502

[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
[3]	Helbing I F D and Vicsek T 2000 Nature 407 487
[4]	Janda A, Zuriguel I and Maza D 2012 Phys. Rev. Lett. 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
[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
[7]	Wen P, Zheng N, Nian J, Li L S and Shi Q F 2015 Sci. Rep. 5 09880
[8]	Zuriguel I, Janda A, Garcimartín A, Lozano C, Arévalo R and Maza D 2011 Phys. Rev. Lett. 107 278001
[9]	Lozano C, Janda A, Garcimartín A, Maza D and Zuriguel I 2012 Phys. Rev. E 86 031306
[10]	Yanagisawa D, Kimura A, Tomoeda A, Nishi R, Suma Y, Ohtsuka K and Nishinari K 2009 Phys. Rev. E 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
[13]	Anand A, Curtis J S, Wassgren C R, Hancock B C and Ketterhagen W R 2008 Chem. Eng. Sci. 63 5821
[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
[17]	Yang L N and Chen Y Q 2019 Chin. Phys. Lett. 36 024501
[18]	Wan J, Wang F, Yang G, Zhang S, Wang M, Lin P and Yang L 2018 Powder Technol. 335 147
[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
[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
[23]	Aguirre M A, De Schant R and Géminard J C 2014 Phys. Rev. E 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
[26]	Nedderman R M and Laohakul C 1980 Powder Technol. 25 91
[27]	Fowler R T and Glastonbury J R 1959 Chem. Eng. Sci. 10 150
[28]	Manuel J C and Luis A P 2015 Powder. Technol. 272 290
[29]	Mankoc C, Janda A, Arévalo R, Pastor J M, Zuriguel I, Garcimartín A and Maza D 2007 Granul. Matter. 9 407

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

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