ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
The anisotropy of free path in a vibro-fluidized granular gas |
Yifeng Mei(梅一枫)1, Yanpei Chen(陈延佩)1, Wei Wang(王维)1, Meiying Hou(厚美瑛)2 |
1 State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2 Key Laboratory of Soft Matter Physics, Beijing National Laboratory for Condense Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China |
|
|
Abstract The free path of a vibro-fluidized two-dimensional (2D) inelastic granular gas confined in a rectangular box is investigated by 2D event-driven molecular simulation. By tracking particles in the simulation, we analyze the local free path. The probability distribution of the free path shows a high tail deviating from the exponential prediction. The anisotropy of the free path is found when we separate the free path to x and y components. The probability distribution of y component is exponential, while x component has a high tail. The probability distribution of angle between the relative velocity and the unit vector joined two particle centers deviates from the distribution of two random vectors, indicating the existence of the dynamic heterogeneities in our system. We explain these results by resorting to the kinetic theory with two-peak velocity distribution. The kinetic theory agrees well with the simulation result.
|
Received: 15 March 2016
Revised: 18 April 2016
Accepted manuscript online:
|
PACS:
|
45.70.-n
|
(Granular systems)
|
|
51.10.+y
|
(Kinetic and transport theory of gases)
|
|
45.70.Mg
|
(Granular flow: mixing, segregation and stratification)
|
|
Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB215003), the National Natural Science Foundation of China (Grant No. 91334204), the Fund from the Chinese Academy of Sciences (Grant No. XDA07080100), and China Postdoctoral Science Foundation (Grant No. 2014M561071). |
Corresponding Authors:
Yanpei Chen
E-mail: ypchen@ipe.ac.cn
|
Cite this article:
Yifeng Mei(梅一枫), Yanpei Chen(陈延佩), Wei Wang(王维), Meiying Hou(厚美瑛) The anisotropy of free path in a vibro-fluidized granular gas 2016 Chin. Phys. B 25 084501
|
[1] |
Campbell C S 1990 Ann. Rev. Fluid Mech. 22 57
|
[2] |
Goldhirsch I 2003 Ann. Rev. Fluid Mech. 35 267
|
[3] |
Nichol K, Daniels K E 2012 Phys. Rev. Lett. 108 018001
|
[4] |
Wang W and Chen Y P 2015 Advances in Chemical Engineering, Chapter Four, Mesoscale Modeling:Beyond Local Equilibrium Assumption for Multiphase Flow (Academic Press) pp. 193-277
|
[5] |
Puglisi A, Loreto V, Marconi U M B, Petri A and Vulpiani A 1998 Phys. Rev. Lett. 81 3848
|
[6] |
Losert W, Cooper D G W, Delour J, Kudrolli A and Gollub J P 1999 Chaos 9 682
|
[7] |
Olafsen J S and Urbach J S 1999 Phys. Rev. E 60 R2468
|
[8] |
Brey J J, Ruiz-Montero M J and Moreno F 2000 Phys. Rev. E 62 5339
|
[9] |
Herbst O, Muller P, Otto M and Zippelius A 2004 Phys. Rev. E 70 051313
|
[10] |
Chen Y P, Evesque P and Hou M Y 2014 Engineering Computations 32 1066
|
[11] |
Chen Y P, Evesque P and Hou M Y 2012 Chin. Phys. Lett. 29 074501
|
[12] |
Chen Y P, Hou M Y, Jiang Y M and Liu M 2014 Phys. Rev. E 88 052204
|
[13] |
Brilliantov N V and Pöschel T 2004 Kinetic Theory of Granular Gases (New York:Oxford University Press) pp. 12-15
|
[14] |
Vincenti W G and Kruger C H 1956 Introduction to Physical Gas Dynamics (New York:John Wiley and Sons) pp. 12-15
|
[15] |
Kadanoff L P 1999 Rev. Mod. Phys. 71 435
|
[16] |
Grossman E L, Zhou Tong and Ben-Naim E 1991 Phys. Rev. E 55 4200
|
[17] |
Blair D L and Kudrolli A 2003 Phys. Rev. E 67 041301
|
[18] |
Visco P, van Wijland F and Trizac E 2008 Phys. Rev. E 77 041117
|
[19] |
Coppex F, Droz M and Trizac E 2004 Phys. Rev. E 69 011303
|
[20] |
Tan M L and Goldhirsch I 1998 Phys. Rev. Lett. 81 3022
|
[21] |
Dufty J W and Brey J J 1999 Phys. Rev. Lett. 82 4566
|
[22] |
Tan M L and Goldhirsch I 1999 Phys. Rev. Lett. 82 4567
|
[23] |
Glasser B J and Goldhirsch I 2001 Phys. Fluids 13 407
|
[24] |
Cai T, Fan J and Jiang T 2013 The Journal of Machine Learning Research 14 1837
|
[25] |
Mei Y, Chen Y and Wang W 2015 "Kinetic theory of binary particles with unequal mean velocities and non-equipartition energies" (arXiv:1508.02871)
|
[26] |
Chapman S and Cowling T G 1970 The Mathematical Theory of Non-uniform Gases (Cambridge:Cambridge University Press) pp. 89-99
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|