| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Experimental study and analysis on the rising motion of grains in a vertically-vibrated pipe |
| Liu Yu (刘煜)a, Zhao Jun-Hong (赵俊红)b |
a Electric Power Research Institute, Henan Electric Power Company, Zhengzhou 450052, China;
b Luoyang College, Civil Aviation Flight University of China, Luoyang 471000, China |
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Abstract Previous experimental investigations have shown that when a narrow pipe is inserted into a granular bed and is vibrated vertically but the granular bed is kept still, the grains in the bed can enter the pipe and rise against gravity along the pipe and finally stabilized at a certain height. The growth velocity and final stable height of the grain column inside the pipe can be controlled by varying the vibration conditions. In this paper, we discuss those experimental findings. We establish a mathematic relation between the grain column height (h) and time (t), and by using the relation we discuss the change of the growth velocity (dh/dt) and acceleration (d2h/dt2) with t and h, respectively. We also analyze the mechanism of the rising motion of the grains during vibration. Furthermore, we derive a theoretical expression for describing the final stable height (dst), which shows that the main factors influencing the height are vibration strength (Γ), bulk density of grains, inner diameter of the pipe, and vibration frequency, and that hst increases nonlinearly in the presence of air and linearly in a vacuum environment with increasing Γ.
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Received: 04 July 2014
Revised: 07 October 2014
Accepted manuscript online:
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PACS:
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45.70.Mg
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(Granular flow: mixing, segregation and stratification)
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45.70.-n
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(Granular systems)
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Corresponding Authors:
Liu Yu
E-mail: lyhndl@163.com
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Cite this article:
Liu Yu (刘煜), Zhao Jun-Hong (赵俊红) Experimental study and analysis on the rising motion of grains in a vertically-vibrated pipe 2015 Chin. Phys. B 24 034502
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| [1] |
Heinrich M J, Sidney R N and Robert P B 1996 Rev. Mod. Phys. 68 1259
|
| [2] |
Lu K Q and Liu J X 2004 Physics 33 629 713 (in Chinese)
|
| [3] |
Ehrichs E E, Jaeger H M, Karczmar G S, Knight J B, Kuperman V Y and Nagel S R 1995 Science 267 1632
|
| [4] |
Pak H K and Behringer R P 1993 Phys. Rev. Lett. 71 1832
|
| [5] |
Knight J B, Jaeger H M and Nagel S R 1993 Phys. Rev. Lett. 70 3728
|
| [6] |
Schröter M, Ulrich S, Kreft J, Swift J B and Swinney H L 2006 Phys. Rev. E 74 011307
|
| [7] |
Darias J R, Sanchez I and Gutierrez G 2011 Granular Matter 13 13
|
| [8] |
Umbanhowar P B, Melo F and Swinney H L 1996 Nature 382 793
|
| [9] |
Chen W Z 1995 Acta Phys. Sin. 44 427 (in Chinese)
|
| [10] |
Akiyama T and Shimomura T 1991 Powder Technol. 66 243
|
| [11] |
Akiyama T and Shimomura T 1993 Adv. Powder Technol. 4 129
|
| [12] |
Maeno Y 1996 Physica A 232 27
|
| [13] |
Tatemoto Y, Niwa Y and Takeshita T 2009 Powder Technol. 192 279
|
| [14] |
Chen W Z and Wei R J 1998 Phys. Lett. A 244 389
|
| [15] |
Liu C P, Wu P, Zhang F W and Wang L 2013 Appl. Phys. Lett. 102 183507
|
| [16] |
Zhang F W, Wang L, Liu C P and Wu P 2014 Acta Phys. Sin. 63 014501 (in Chinese)
|
| [17] |
Liu C P, Wu P and Wang L 2013 Soft Matter 9 4762
|
| [18] |
Editorial Office of Encyclopedia of China 1985 Encyclopedia of China (Mechanics) (Beijing: Press of Encyclopedia of China) p. 158
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