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本文通过实验和理论研究了影响"巴西果"分离的因素及其物理机理. 分析了振动加速度、大小颗粒尺寸和密度对分离时间的影响, 并利用流体模型对分离时间作估算, 对实验结果进行定性解释. 结果表明在振动频率固定时, 调节振动加速度是控制"巴西果"分离的一个主要手段. 振动加速度存在一个临界值, 当高于此临界值时, "巴西果"分离的主要物理机理由对流机理转变为几何填空机理, 且振动加速度对分离影响变小, 大颗粒尺寸对分离的影响增大. 可通过调节大颗粒的尺寸来改变分离效果. 当大、 小颗粒密度比为1时, 仍会出现"巴西果"分离现象. 增大小颗粒尺寸或密度可以促进"巴西果"分离.Size segregation is one of important properties of vibrating granular matters. It is significant to understand and study the segregation mechanisms and parameter range of controlling factors of mixed granular matters for the development of industry, agriculture and pharmaceutical. In this paper, we investigate the influence factors and physical mechanisms of "Brazil Nut" segregation experimentally and theoretically. The influences of vibrating acceleration, sizes and densities of large and small granules on the segregation time are analyzed. The hydro-model is used to evaluate segregation time and explain the experimental results qualitatively. Results show that the vibration acceleration is a main controlling factor for "Brazil Nut" segregation in the case of fixed frequency. There is a critical acceleration. When the acceleration is larger then its critical value the main physical mechanism changes from convection to filling voids, and the effect of acceleration on segregation decreases, while the effect of size of large granule on it increases. Furthermore, "Brazil Nut" segregation still arises when the density ratio is equal to 1. The increase of the size or density of small granular may enhance "Brazil Nut" segregation.
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Keywords:
- granular matter /
- "Brazil Nut" segregation /
- segregation time /
- segregation mechanism
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[1] Sun Q C, Jin F, Wang G Q, Zhang G H 2010 Acta Phys. Sin. 59 0030 (in Chinese) [孙其诚, 金峰, 王光谦, 张国华 2010 59 0030]
[2] HuY, Hu L 2009 Journal of Shandong University 44 25 (in Chinese) [胡云, 胡林 2009 山东大学学报 44 25]
[3] Rong L W, Zhan J M 2010 Acta Phys. Sin. 59 5572 (in Chinese) [容亮湾, 詹杰民 2010 59 5572]
[4] Hong D C, Quinn P V, Stefan L 2001 Phys. Rev. Lett. 86 3423
[5] Zhao, Y Z, Jiang M Q, Zheng J Y 2009 Acta Phys. Sin. 58 1812 (in Chinese) [赵永志, 姜茂强, 郑津洋 2009 58 1812]
[6] Metzger M J, Remy B, Glasser B J 2011 Powder Technology 205 42
[7] Mobius M E, Lauderdale B E, Nagel S R, Jaeger H M 2001 Nature 414 270
[8] Yan X Q, Shi Q F, Hou M Y, Lu K Q 2003 Physics 32 748 (in Chinese) [阎学群, 史庆藩, 厚美瑛, 陆坤权 2003 物理 32 748]
[9] Yan X Q, Shi Q F, Hou M Y, Lu K Q 2003 Phys. Rev. Lett. 91 014302
[10] Jiang Z H, Wang Y Y, Wu J 2006 Acta Phys. Sin. 55 4748 [姜泽辉, 王运鹰, 吴晶 2006 55 4748]
[11] Duran J, Mazozi J, Clement E, Rajchenbach J 1994 Phys. Rev. E 50 5138
[12] Tai C H, Hsiau S S, Kruelle C A 2010 Powder Technology 204 255
[13] Rosato A, Strandburg K J, Prinz F, Swendsen R H 1987 Phys. Rev. Lett. 58 1038
[14] Knight J B 1997 Phys. Rev. E 55 6016
[15] Barker G C, Metha A 1993 Nature 364 486
[16] Hsiau S S, Yu H Y 1997 Powder Technology 93 83
[17] Mehta A, Barker G C 1991 Phys. Rev. Lett. 67 394
[18] Vanel L, Rosato A D, Dave R N 1997 Phys. Rev. Lett. 78 1255
[19] Schroter M, Ulrich S, Kreft J, Swift J B, Swinney H L 2006 Phys. Rev. E: Statistical, Nonlinear, and Soft Matter Physics 74 011307
[20] Cooke W, Warr S, Huntley J M, Ball R C 1996 Phys. Rev. E 53 2812
[21] Duran J, Rajchenbach J, Clement E 1993 Phys. Rev. Lett. 70 2431
[22] Kudrolli A 2004 Rep. Prog. Phys. 67 236
[23] Chen W Z, Wei R J, Wang B R 1997 Phys. Lett. A 228 321
[24] Clement C P, Pacheco-Martinez H A, Swift M R, King P J 2010 Europhysics Letters 91 54001
[25] Knight J B, Jaeger H M, Nagel S R 1993 Phys. Rev. Lett. 70 3730
[26] Falcon E, Fauve S, Laroche C 1999 Eur. Phys. J. B 9 183
[27] Liffman K, Muniandy K, Rhodes M, Gutteridge D, Metcalfe G 2001 Granular Matter 3 205
[28] Ahmad K, Smalley I J 1973 Powder Technology 8 69
[29] Shinbrot T, Muzzio F J 1998 Phys. Rev. Lett. 81 4365
[30] Zhang H, Guo Y B, Chen X, Wang D, Cheng P J 2007 Acta Phys. Sin. 56 2030 (in Chinese) [张航, 郭蕴博, 陈骁, 王端, 程鹏俊 2007 56 2030]
[31] Tan G S 1979 Shape and Flow: Talking about Resistance to Fluid Dynamics (Beijing, China: Science Publishers) [谈镐声 1979 形与流: 漫谈阻力流体动力学 (北京: 科学出版社)]
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