竖直振动管中颗粒的上升运动

张富翁; 王立; 刘传平; 吴平

doi:10.7498/aps.63.014501

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摘要

通过实验和数值模拟研究了竖直振动管中颗粒的受激运动. 将一直管插入静止的颗粒料层中，并在管内预填充一定高度的颗粒，对直管施加竖直振动. 振动强度较弱时，管内的颗粒在重力作用下向下运动；当振动达到一定的强度时，管内颗粒不下降反而克服重力的作用向上运动，随着振动强度的进一步提高，即使不在管内预填充高于颗粒床层的颗粒，颗粒也会沿着振动管逆重力向上运动. 颗粒的上升高度与运动速度强烈依赖于振动强度. 通过高速相机记录颗粒和直管在单个振动周期内的运动，并结合离散元（DEM）法模拟管内颗粒的受力变化规律，给出了颗粒上升的机理. 此研究对实现散体物料的定向输运提供了一种新方法.

关键词:

作者及机构信息

1.
北京科技大学机械工程学院, 北京 100083;

2.
北京市高等学校节能与环保工程研究中心, 北京 100083;

3.
北京科技大学物理系, 北京 100083

基金项目: 国家重点基础研究发展计划（批准号：2012CB720406）和国家自然科学基金（批准号：51076010）资助的课题.

参考文献

[1]	Jaeger H M, Nagel S R, Behringer R P 1996 Rev. Mod. Phys. 68 1259
[2]	Lu K Q, Liu J X 2004 Physics 33 629 (in Chinese) [陆坤权, 刘寄星 2004 物理 33 629]
[3]	Miao G Q, Sui L, Wei R J 2001 Phys. Rev. E 63 031304
[4]	Saluenaa C, Esipovb S E, Poeschel T, Simonian S S 1998 Proc. SPIE. 3327 19
[5]	Sun Q C, Wang G Q 2008 Acta Phys. Sin. 57 4667 (in Chinese) [孙其诚, 王光谦 2008 物理学报 57 4667]
[6]	Peng Z, Jiang Y M, Liu R, Hou M Y 2013 Acta Phys. Sin. 62 024502 (in Chinese) [彭政, 蒋亦民, 刘锐, 厚美瑛 2013 物理学报 62 024502]
[7]	Zheng H P, Jiang Y M, Peng Z 2013 Chin. Phys. B 22 040511
[8]	Hu M B, Jiang R, Wu Q S 2013 Chin. Phys. B 22
[9]	Cai Q D, Chen S Y, Sheng X W 2011 Chin. Phys. B 20 024502
[10]	Gallas J A C, Herrmann H J, Sokolowski S 1992 Phys. Rev. Lett. 69 1371
[11]	Aoki K M, Akiyama T 1996 Phys. Rev. Lett. 77 4166
[12]	Saez A, Vivanco F, Melo F 2005 Phys. Rev. E 72 021307
[13]	Akiyama T, Shimomura T 1991 Powder Technol. 66 243
[14]	Akiyama T, Shimomura T 1993 Adv. Powder Technol. 4 129
[15]	Maeno Y 1996 Physica A 232 27
[16]	Tatemoto Y, Niwa Y, Takeshita T 2009 Powder Technol. 192 279
[17]	Chen W Z 1995 Acta Phys. Sin. 44 427 (in Chinese) [陈伟中 1995 物理学报 44 427]
[18]	Chen W Z 1997 Phys. Lett. A 228 321
[19]	Chen W Z, Wei R J 1998 Phys. Lett. A 244 389
[20]	Liu C P, Wu P, Zhang F W, Wang L 2013 Appl. Phys. Lett. 102 183507
[21]	Zhang G H, Sun Q C, Huang F F, Jin F 2011 Acta Phys. Sin. 60 124502 (in Chinese) [张国华, 孙其诚, 黄芳芳, 金峰 2011 物理学报 60 124502]
[22]	Sun Q C, Jin F, Wang G Q, Zhang G H 2010 Acta Phys. Sin. 59 30 (in Chinese) [孙其诚, 金峰, 王光谦, 张国华 2010 物理学报 59 30]
[23]	Mindlin R D 1949 J. Appl. Mech. 16 259
[24]	Sun Q C, Wang G Q 2009 Introduction to Granular Matter Mechanics (Beijing: Science Press) p16 (in Chinese) [孙其诚, 王光谦 2009 颗粒物质力学导论 (北京: 科学出版社) 第16页]
[25]	Yan X Q, Shi Q F, Hou M Y, Lu K Q, Chen Z Q 2003 Physics 32 748 (in Chinese) [阎学群, 史庆藩, 厚美瑛, 陆坤权, 陈志强 2003 物理 32748]
[26]	Yan X Q, Shi Q F, Hou M Y, Lu K Q 2003 Phys. Rev. Lett. 91 014302
[27]	Pak H K, Van Doorn E, Behringer R P 1995 Phys. Rev. Lett. 74 4643

施引文献

[1]	Jaeger H M, Nagel S R, Behringer R P 1996 Rev. Mod. Phys. 68 1259
[2]	Lu K Q, Liu J X 2004 Physics 33 629 (in Chinese) [陆坤权, 刘寄星 2004 物理 33 629]
[3]	Miao G Q, Sui L, Wei R J 2001 Phys. Rev. E 63 031304
[4]	Saluenaa C, Esipovb S E, Poeschel T, Simonian S S 1998 Proc. SPIE. 3327 19
[5]	Sun Q C, Wang G Q 2008 Acta Phys. Sin. 57 4667 (in Chinese) [孙其诚, 王光谦 2008 物理学报 57 4667]
[6]	Peng Z, Jiang Y M, Liu R, Hou M Y 2013 Acta Phys. Sin. 62 024502 (in Chinese) [彭政, 蒋亦民, 刘锐, 厚美瑛 2013 物理学报 62 024502]
[7]	Zheng H P, Jiang Y M, Peng Z 2013 Chin. Phys. B 22 040511
[8]	Hu M B, Jiang R, Wu Q S 2013 Chin. Phys. B 22
[9]	Cai Q D, Chen S Y, Sheng X W 2011 Chin. Phys. B 20 024502
[10]	Gallas J A C, Herrmann H J, Sokolowski S 1992 Phys. Rev. Lett. 69 1371
[11]	Aoki K M, Akiyama T 1996 Phys. Rev. Lett. 77 4166
[12]	Saez A, Vivanco F, Melo F 2005 Phys. Rev. E 72 021307
[13]	Akiyama T, Shimomura T 1991 Powder Technol. 66 243
[14]	Akiyama T, Shimomura T 1993 Adv. Powder Technol. 4 129
[15]	Maeno Y 1996 Physica A 232 27
[16]	Tatemoto Y, Niwa Y, Takeshita T 2009 Powder Technol. 192 279
[17]	Chen W Z 1995 Acta Phys. Sin. 44 427 (in Chinese) [陈伟中 1995 物理学报 44 427]
[18]	Chen W Z 1997 Phys. Lett. A 228 321
[19]	Chen W Z, Wei R J 1998 Phys. Lett. A 244 389
[20]	Liu C P, Wu P, Zhang F W, Wang L 2013 Appl. Phys. Lett. 102 183507
[21]	Zhang G H, Sun Q C, Huang F F, Jin F 2011 Acta Phys. Sin. 60 124502 (in Chinese) [张国华, 孙其诚, 黄芳芳, 金峰 2011 物理学报 60 124502]
[22]	Sun Q C, Jin F, Wang G Q, Zhang G H 2010 Acta Phys. Sin. 59 30 (in Chinese) [孙其诚, 金峰, 王光谦, 张国华 2010 物理学报 59 30]
[23]	Mindlin R D 1949 J. Appl. Mech. 16 259
[24]	Sun Q C, Wang G Q 2009 Introduction to Granular Matter Mechanics (Beijing: Science Press) p16 (in Chinese) [孙其诚, 王光谦 2009 颗粒物质力学导论 (北京: 科学出版社) 第16页]
[25]	Yan X Q, Shi Q F, Hou M Y, Lu K Q, Chen Z Q 2003 Physics 32 748 (in Chinese) [阎学群, 史庆藩, 厚美瑛, 陆坤权, 陈志强 2003 物理 32748]
[26]	Yan X Q, Shi Q F, Hou M Y, Lu K Q 2003 Phys. Rev. Lett. 91 014302
[27]	Pak H K, Van Doorn E, Behringer R P 1995 Phys. Rev. Lett. 74 4643

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竖直振动管中颗粒的上升运动

1. 北京科技大学机械工程学院, 北京 100083;

2. 北京市高等学校节能与环保工程研究中心, 北京 100083;

3. 北京科技大学物理系, 北京 100083

基金项目:

国家重点基础研究发展计划（批准号：2012CB720406）和国家自然科学基金（批准号：51076010）资助的课题.

收稿日期: 2013-08-01

修回日期: 2013-09-12

刊出日期: 2014-01-05

摘要: 通过实验和数值模拟研究了竖直振动管中颗粒的受激运动. 将一直管插入静止的颗粒料层中，并在管内预填充一定高度的颗粒，对直管施加竖直振动. 振动强度较弱时，管内的颗粒在重力作用下向下运动；当振动达到一定的强度时，管内颗粒不下降反而克服重力的作用向上运动，随着振动强度的进一步提高，即使不在管内预填充高于颗粒床层的颗粒，颗粒也会沿着振动管逆重力向上运动. 颗粒的上升高度与运动速度强烈依赖于振动强度. 通过高速相机记录颗粒和直管在单个振动周期内的运动，并结合离散元（DEM）法模拟管内颗粒的受力变化规律，给出了颗粒上升的机理. 此研究对实现散体物料的定向输运提供了一种新方法.

关键词:

The rising motion of grains in a vibrating pipe

1.
School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;

2.
Beijing Engineering Research Center for Energy Saving and Environmental Protection, University of Science and Technology Beijing, Beijing 100083, China;

3.
Department of Physics, University of Science and Technology Beijing, Beijing 100083, China

Fund Project:

Project supported by the State Key Development Program for Basic Research of China (Grant No. 2012CB720406), and the National Natural Science Foundation of China (Grant No. 51076010).

Received Date: 01 August 2013

Accepted Date: 12 September 2013

Published Online: 05 January 2014

Abstract: The rising motion of grains in a vibrating pipe is studied experimentally and by DEM (discrete element method) simulations. A pipe is partially inserted into a static granular layer. With the pipe initially filled with a certain height of grains, when the pipe is set into vertical vibrations, grains in the pipe will rise along the pipe and the motion will be finally stabilized at a certain height. The rising height and the speed of motion are strongly dependent on the vibration strength. By using a high speed camera and through DEM simulation, the trajectory of individual grains and the force acting on the grains in each vibration cycle can be obtained. A force-based mechanism for this rising motion is proposed. During vibrations of the pipe, the grains in the pipe are compacted and loosened alternately, and the force of the pipe and the grains varies periodically, thus leading to the rising motion of grains. A new possible way of continuously transporting grains is presented in this work.

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