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采用单轴式声悬浮方法研究了黏度 =0.9475.65 mPas的甘油-水溶液液滴的扇谐振荡规律. 发现一定阶数的振荡模式存在一定的临界黏度c, 只有当 c时, 该阶扇谐振荡才能被激发. 实验测定了声场调制幅度 = 0.23 时, l =29 阶扇谐振荡的临界黏度, 发现ln c与l近似呈线性递减关系. 采用参数共振理论分析了黏性液滴的扇谐振荡过程, 发现激发扇谐振荡的液滴赤道半径扰动阈值hc正比于液滴黏度, 并随l增大而增大, 因此扇谐振荡难以在高黏度和高阶模式下发生. 实验还发现, 各阶扇谐振荡的振幅和共振频率宽度随液滴黏度增大而减小, 黏度对液滴本征频率无明显影响.The sectorial oscillation of acoustically levitated viscous drops is investigated by applying a series of aqueous glycerol solutions (viscosity = 0.9475.65 mPas). It is found that there exists a critical viscosity c for a definite mode of sectorial oscillation, and that mode can be excited only when c. The critical viscosities for the l = 29th mode sectorial oscillation are experimentally determined with a modulation amplitude to the acoustic field reaching = 0.23. It is found that ln c decreases approximately linearly with l. Analysis based on the parametric resonance theory indicates that in order to excite the sectorial oscillation, the equatorial radius of the drop must be perturbed overs a threshold hc, which is proportional to the viscosity and increases with l. Therefore, the sectorial oscillations can hardly be excited to those drops with high viscosity and large oscillation modes. Both the amplitude and resonant modulating frequency width decrease with the enlargement of viscosity. No obvious effect of viscosity is found on the eigenfrequency of sectorial oscillation.
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Keywords:
- acoustic levitation /
- sectorial oscillation /
- viscosity /
- parametric resonance
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[53] -
[1] Amo A, Sanvitto D, Laussy F P, Ballarini D, Valle E D, Martin M D, Lemaitre A, Bloch J, Krizhanovskii D N, Skolnick M S, Tejedor C, Via L 2009 Nature 457 291
[2] [3] Krner C 2008 Mater. Sci. Eng. A 495 227
[4] Fernando H J S 2010 Annu. Rev. Fluid Mech. 42 365
[5] [6] [7] Garnero E J, McNamara A K 2008 Science 320 626
[8] [9] Huang H Y, Wang Y Q 2010 Opt. Eng. 49 114201
[10] [11] Randrup J 2009 Phys. Rev. C 79 054911
[12] [13] Weber J K R, Rey C A, Neuefeind J, Benmore C J 2009 Rev. Sci. Instrum. 80 083904
[14] Brandt E H 2001 Nature 413 474
[15] [16] Yamamoto Y, Abe Y, Fujiwara A, Hasegawa K, Aoki K 2008 Microgravity Sci. Technol. 20 277
[17] [18] Du R J, Xie W J 2011 Acta Phys. Sin. 60 114302 (in Chinese) [杜人君, 解文军 2011 60 114302]
[19] [20] [21] Trinh E, Wang T G 1982 J. Fluid Mech 122 315
[22] Apfel R E, Tian Y, Jankovsky J, Shi T, Chen X, Holt R G, Trinh E, Croonquist A, Thornton K C, Sacco A, Coleman C, Leslie F W, Matthiesen D H 1997 Phys. Rev. Lett. 78 1912
[23] [24] [25] Brunet P, Snoeijer J H 2011 Eur. Phys. J. Special Topics 192 207
[26] [27] Natarajan R, Brown R A 1986 Phys. Fluids 29 2788
[28] [29] Ludu A, Draayer J P 1998 Phys. Rev. Lett. 80 2125
[30] Nugent S, Posch H A 2000 Phys. Rev. E 62 4968
[31] [32] [33] Watanabe T 2009 Phys. Lett. A 373 867
[34] Shen C L, Xie W J, Wei B 2010 Phys. Rev. E 81 046305
[35] [36] Yan Z L, Xie W J, Shen C L, Wei B B 2011 Acta Phys. Sin. 60 064302 (in Chinese) [鄢振麟, 解文军, 沈昌乐, 魏炳波 2011 60 064302]
[37] [38] [39] Shen C L, Xie W J, Wei B 2010 Phys. Lett. A 374 2301
[40] [41] Shen C L, Xie W J, Yan Z L, Wei B 2010 Phys. Lett. A 374 4045
[42] Gu Q C, Lou S C, Dai Q P, Huang B R, Li Q J 1979 Chemical Databases (Vol. 1) (Nanijing: Jiangsu Science and Technology Press) p148 (in Chinese) [顾庆超, 楼书聪, 戴庆平, 黄炳荣, 李乔钧 1979 化学用表 (第1卷) (南京: 江苏科学技术出版社) 第148页]
[43] [44] [45] Mehrotra A K, Monnery W D, Svrcek W Y 1996 Fluid Phase Equilib. 117 344
[46] Zhang J T 2008 Glycerol (Beijing: Chemical Industry Press) p15 (in Chinese) [张金廷 2008 甘油 (北京: 化学工业出版社) 第15页]
[47] [48] Tong J S 2008 Fluid Thermal Physical Properties (Beijing: China Petrochemical Press) p224 (in Chinese) [童景山 2008 流体热物性学 (北京: 中国石化出版社) 第224页]
[49] [50] [51] Landau L D, Lifshitz E M 1999 Mechanics (3rd Ed.) (Beijing: World Publishing Corporation) p80
[52] Landau L D, Lifshitz E M 1999 Fluid Mechanics (2nd Ed.) (Beijing: World Publishing Corporation) p51
[53]
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