Three-dimensional clogging structures of granular spheres near hopper orifice

doi:10.1088/1674-1056/ac2f2f

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 14501-014501.doi: 10.1088/1674-1056/ac2f2f

Three-dimensional clogging structures of granular spheres near hopper orifice

Jing Yang(杨敬), Dianjinfeng Gong(宫殿锦丰), Xiaoxue Wang(汪晓雪), Zhichao Wang(王志超), Jianqi Li(李建奇), Bingwen Hu(胡炳文), and Chengjie Xia(夏成杰)^†

Shanghai Key Laboratory of Magnetic Resonance, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China

收稿日期:2021-07-27 修回日期:2021-09-07 接受日期:2021-10-13 出版日期:2021-12-03 发布日期:2021-12-30
通讯作者: Chengjie Xia E-mail:cjxia@phy.ecnu.edu.cn
基金资助:
Project supported by the China Postdoctoral Science Foundation (Grant Nos. 2018M641957 and 2019T120319), the National Natural Science Foundation of China (Grant No. 11904102), and the Fundamental Research Funds for the Central Universities, China.

Three-dimensional clogging structures of granular spheres near hopper orifice

Jing Yang(杨敬), Dianjinfeng Gong(宫殿锦丰), Xiaoxue Wang(汪晓雪), Zhichao Wang(王志超), Jianqi Li(李建奇), Bingwen Hu(胡炳文), and Chengjie Xia(夏成杰)^†

Shanghai Key Laboratory of Magnetic Resonance, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China

Received:2021-07-27 Revised:2021-09-07 Accepted:2021-10-13 Online:2021-12-03 Published:2021-12-30
Contact: Chengjie Xia E-mail:cjxia@phy.ecnu.edu.cn
Supported by:
Project supported by the China Postdoctoral Science Foundation (Grant Nos. 2018M641957 and 2019T120319), the National Natural Science Foundation of China (Grant No. 11904102), and the Fundamental Research Funds for the Central Universities, China.

摘要/Abstract

摘要： The characteristic clogging structures of granular spheres blocking three-dimensional granular flow through hopper outlet are analyzed based on packing structures reconstructed using magnetic resonance imaging techniques. Spheres in clogging structures are arranged in a way with typical features of load-bearing, such as more contacting bonds close to the horizontal plane and more mutually-stabilized contact configurations than packing structures away from the orifice. The requirement of load-bearing inevitably leads to the cooperativity of clogging structures with a correlation length of several particle diameters. This correlation length being comparable with the orifice diameter suggests that a clogging structure is composed of several mutually-stabilized structural motifs to span the orifice perimeter, instead of a collection of independent individual spheres to cover the whole orifice area. Accordingly, we propose a simple geometric model to explain the unexpected linear dependence of the average size of three-dimensional clogging structures on orifice diameter.

关键词: granular materials, clogging, magnetic resonance imaging

Abstract: The characteristic clogging structures of granular spheres blocking three-dimensional granular flow through hopper outlet are analyzed based on packing structures reconstructed using magnetic resonance imaging techniques. Spheres in clogging structures are arranged in a way with typical features of load-bearing, such as more contacting bonds close to the horizontal plane and more mutually-stabilized contact configurations than packing structures away from the orifice. The requirement of load-bearing inevitably leads to the cooperativity of clogging structures with a correlation length of several particle diameters. This correlation length being comparable with the orifice diameter suggests that a clogging structure is composed of several mutually-stabilized structural motifs to span the orifice perimeter, instead of a collection of independent individual spheres to cover the whole orifice area. Accordingly, we propose a simple geometric model to explain the unexpected linear dependence of the average size of three-dimensional clogging structures on orifice diameter.

Key words: granular materials, clogging, magnetic resonance imaging

中图分类号: (Granular systems)

45.70.-n

45.70.Vn (Granular models of complex systems; traffic flow) 76.60.Pc (NMR imaging)

Jing Yang(杨敬), Dianjinfeng Gong(宫殿锦丰), Xiaoxue Wang(汪晓雪), Zhichao Wang(王志超), Jianqi Li(李建奇), Bingwen Hu(胡炳文), and Chengjie Xia(夏成杰). Three-dimensional clogging structures of granular spheres near hopper orifice[J]. 中国物理B, 2022, 31(1): 14501-014501.

参考文献

[1] de Gennes P G 1999 Rev. Mod. Phys. 71 S374
[2] Jaeger H M, Nagel S R and Behringer R P 1996 Rev. Mod. Phys. 68 1259
[3] Liu A J and Nagel S R 1998 Nature 396 21
[4] Majmudar T S, Sperl M, Luding S and Behringer R P 2007 Phys. Rev. Lett. 98 058001
[5] Liu A J and Nagel S R 2010 Annu. Rev. Conden. Matter Phys. 1 347
[6] Zuriguel I 2014 Pap. Phys. 6 060014
[7] van de Laar T, ten Klooster S, Schroen K and Sprakel J 2016 Sci. Rep. 6 28450
[8] Stoop R L and Tierno P 2018 Commun. Phys. 1 68
[9] Garcimartin A, Pastor J M, Ferrer L M, Ramos J J, Martin-Gomez C and Zuriguel I 2015 Phys. Rev. E 91 022808
[10] Patterson G A, Fierens P I, Jimka F S, Konig P G, Garcimartin A, Zuriguel I, Pugnaloni L A and Parisi D R 2017 Phys. Rev. Lett. 119 248301
[11] Mohammadi M, Harth K, Puzyrev D, Hanselka T, Trittel T and Stannarius R 2020 New J. Phys. 22 123025
[12] Delarue M, Hartung J, Schreck C, Gniewek P, Hu L, Herminghaus S and Hallatschek O 2016 Nat. Phys. 12 762
[13] Gella D, Maza D, Zuriguel I, Ashour A, Arevalo R and Stannarius R 2017 Phys. Rev. Fluids 2 084304
[14] Lopez-Rodriguez D, Gella D, To K, Maza D, Garcimartin A and Zuriguel I 2019 Phys. Rev. E 99 032901
[15] Thomas C C and Durian D J 2013 Phys. Rev. E 87 052201
[16] Pournin L, Ramaioli M, Folly P and Liebling T M 2007 Euro. Phys. J. E 23 229
[17] Goldberg E, Carlevaro C M and Pugnaloni L A 2018 J. Stat. Mech. 2018 113201
[18] Mankoc C, Garcimartin A, Zuriguel I, Maza D and Pugnaloni L A 2009 Phys. Rev. E 80 011309
[19] Aguirre M A, Grande J G, Calvo A, Pugnaloni L A and Geminard J C 2010 Phys. Rev. Lett. 104 238002
[20] Dorbolo S, Maquet L, Brandenbourger M, Ludewig F, Lumay G, Caps H, Vandewalle N, Rondia S, Melard M, van Loon J, Dowson A and Vincent-Bonnieu S 2013 Granular Matter 15 263
[21] Arevalo R, Zuriguel I, Maza D and Garcimartin A 2014 Phys. Rev. E 89 042205
[22] Gella D, Zuriguel I and Maza D 2018 Phys. Rev. Lett. 121 138001
[23] To K, Lai P Y and Pak H K 2001 Phys. Rev. Lett. 86 71
[24] To K W and Lai P Y 2002 Phys. Rev. E 66 011308
[25] Lozano C, Lumay G, Zuriguel I, Hidalgo R C and Garcimartin A 2012 Phys. Rev. Lett. 109 068001
[26] Nicolas A, Garcimartin A and Zuriguel I 2018 Phys. Rev. Lett. 120 198002
[27] Merrigan C, Birwa S K, Tewari S and Chakraborty B 2018 Phys. Rev. E 97 040901
[28] Guerrero B V, Pugnaloni L A, Lozano C, Zuriguel I and Garcimartin A 2018 Phys. Rev. E 97 042904
[29] Guerrero B V, Chakraborty B, Zuriguel I and Garcimartin A 2019 Phys. Rev. E 100 032901
[30] Borzsonyi T, Somfai E, Szabo B, Wegner S, Mier P, Rose G and Stannarius R 2016 New J. Phys. 18 093017
[31] Ashour A, Wegner S, Trittel T, Borzsonyi T and Stannarius R 2017 Soft Matter 13 402
[32] Zuriguel I, Parisi D R, Hidalgo R C, Lozano C, Janda A, Gago P A, Peralta J P, Ferrer L M, Pugnaloni L A, Clement E, Maza D, Pagonabarraga I and Garcimartin A 2014 Sci. Rep. 4 7324
[33] To K W. 2005 Phys. Rev. E 71 060301
[34] Zuriguel I, Garcimartin A, Maza D, Pugnaloni L A and Pastor J M 2005 Phys. Rev. E 71 051303
[35] Janda A, Zuriguel I, Garcimartin A, Pugnaloni L A and Maza D 2008 Europhys. Lett. 84 44002
[36] Thomas C C and Durian D J 2015 Phys. Rev. Lett. 114 178001
[37] Cross R 2020 Phys. Educ. 55 055013
[38] Frahm J, Haase A and Matthaei D 1986 J. Comp. Ass. Tomo. 10 363
[39] Griswold M A, Jakob P M, Heidemann R M, Nittka M, Jellus V, Wang J M, Kiefer B and Haase A 2002 Magn. Reson. Med. 47 1202
[40] Aste T, Saadatfar M and Senden T J 2005 Phys. Rev. E 71 061302
[41] Garcimartin A, Zuriguel I, Pugnaloni L A and Janda A 2010 Phys. Rev. E 82 031306
[42] Longjas A, Monterola C and Saloma C 2009 J. Stat. Mech. 2009 P05006
[43] Zhou J and Dinsmore A D 2009 J. Stat. Mech. 2009 L05001
[44] Junyao T, Sagdiphour S and Behringer R P 2009 AIP Conf. Proc. 1145 515
[45] Mehta A, Barker G C and Luck J M 2004 J. Stat. Mech. 2004 P10014
[46] Jenkins M C, Haw M D, Barker G C, Poon W C K and Egelhaaf S U 2011 Soft Matter 7 684
[47] Majmudar T S and Behringer R P 2005 Nature 435 1079

Three-dimensional clogging structures of granular spheres near hopper orifice

Three-dimensional clogging structures of granular spheres near hopper orifice

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	潘辉, 贾峰, 刘震宇, Maxim Zaitsev, Juergen Hennig, Jan G Korvink. Design of small-scale gradient coils in magnetic resonance imaging by using the topology optimization method[J]. 中国物理B, 2018, 27(5): 50201-050201.
[2]	李波, 董慧, 黄小磊, 邱阳, 陶泉, 朱建明. Performance study of aluminum shielded room for ultra-low-field magnetic resonance imaging based on SQUID: Simulations and experiments[J]. 中国物理B, 2018, 27(2): 20701-020701.
[3]	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.
[4]	周志刚, 蒋亦民, 厚美瑛. Ultrasound wave propagation in glass-bead packing under isotropic compression and uniaxial shear[J]. 中国物理B, 2017, 26(8): 84502-084502.
[5]	倪黄晶, 周泸萍, 曾彭, 黄晓林, 刘红星, 宁新宝, the Alzheimer's Disease Neuroimaging Initiative. Multifractal analysis of white matter structural changes on 3D magnetic resonance imaging between normal aging and early Alzheimer's disease[J]. 中国物理B, 2015, 24(7): 70502-070502.
[6]	刘晓丽, 杨勇, 吴建鹏, 张艺凡, 樊海明, 丁军. Novel magnetic vortex nanorings/nanodiscs: Synthesis and theranostic applications[J]. 中国物理B, 2015, 24(12): 127505-127505.
[7]	苏红莹, 吴昌强, 李丹阳, 艾华. Self-assembled superparamagnetic nanoparticles as MRI contrast agents–A review[J]. 中国物理B, 2015, 24(12): 127506-127506.
[8]	余绍德, 伍世宾, 王浩宇, 魏新华, 陈鑫, 潘万龙, Hu Jiani, 谢耀钦. Linear-fitting-based similarity coefficient map for tissue dissimilarity analysis in T₂^*-w magnetic resonance imaging[J]. 中国物理B, 2015, 24(12): 128711-128711.
[9]	李敬, 蔡聪波, 陈林, 陈颖, 屈小波, 蔡淑惠. Flexible reduced field of view magnetic resonance imaging based on single-shot spatiotemporally encoded technique[J]. 中国物理B, 2015, 24(10): 108703-108703.
[10]	储鑫, 余靓, 侯仰龙. Surface modification of magnetic nanoparticles in biomedicine[J]. 中国物理B, 2015, 24(1): 14704-014704.
[11]	胡勇, 李静超, 沈明武, 史向阳. Formation of multifunctional Fe₃O₄/Au composite nanoparticles for dual-mode MR/CT imaging applications[J]. 中国物理B, 2014, 23(7): 78704-078704.
[12]	杨策, 侯仰龙, 高松. Nanomagnetism：Principles, nanostructures, and biomedical applications[J]. 中国物理B, 2014, 23(5): 57505-057505.
[13]	方晟, 郭华. Parallel variable-density spiral imaging using nonlocal total variation reconstruction[J]. 中国物理B, 2014, 23(5): 57401-057401.
[14]	岳秀丽, 马放, 戴志飞. Multifunctional magnetic nanoparticles for magnetic resonance image-guided photothermal therapy for cancer[J]. 中国物理B, 2014, 23(4): 44301-044301.
[15]	王龙庆, 王为民. Multi-objective optimization of gradient coil for benchtop magnetic resonance imaging system with high-resolution[J]. 中国物理B, 2014, 23(2): 28703-028703.