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采用轴对称多弛豫时间格子Boltzmann （LB）方法，研究了圆柱形封闭谐振腔中圆盘形样品的声悬浮过程. 模拟结果表明，（001） 模式下谐振腔的共振长度L=0.499λ，在谐振腔中心引入样品后共振漂移量δL≈-0.9，这与线性声学理论计算结果基本相符. 声悬浮力的LB模拟过程包含了黏滞性效应和共振漂移效应，所获得的模拟结果与理论公式计算值在量值上一致，而且其在细节上更符合实验现象. 此外，LB模拟还揭示出了声悬浮过程中的声压波形畸变、声流和声辐射压等非线性声学效应.
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关键词:
- 声悬浮 /
- 格子Boltzmann方法 /
- 非线性效应
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[24] Haydock D, Yeomans J M 2001 J. Phys. A: Math. Gen. 34 5201
[25] Haydock D 2005 J. Phys. A: Math. Gen. 38 3265
[26] Barrios G, Rechtman R 2008 J. Fluid Mech. 596 191
[27] Halliday I, Hammond L A, Care C M, Good K, Stevens A 2001 Phys. Rev. E 64 011208
[28] Mukherjee S, Abraham J 2007 Phys. Rev. E 75 026701
[29] Li Q, He Y L, Tang G H, Tao W Q 2010 Phys. Rev. E 81 056707
[30] Lallemand P, Luo L S 2000 Phys. Rev. E 61 6546
[31] Landau L D, Lifshitz E M 1999 Fluid Mechanics (2nd Ed.) (Beijing: World Publishing Corporation) p45
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[33] Leung E, Lee C P, Jacobi N, Wang T G 1982 J. Acoust. Soc. Am. 72 615
[34] Xie W J, Wei B 2004 Phys. Rev. E 70 046611
[35] Xie W J, Wei B 2007 Chin. Phys. Lett. 24 135
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[1] Brandt E H 2001 Nature 413 474
[2] Xie W J, Cao C D, L Y J, Hong Z Y, Wei B 2006 Appl. Phys. Lett. 89 214102
[3] Weber J K R, Benmore C J, Tailor A N, Tumber S K, Neuefeind J, Cherry B, Yarger J L, Mou Q, Weber W, Byrn S R 2013 Chem. Phys. 424 89
[4] Radnik J, Bentrup U, Leiterer J, Brckner A, Emmerling F 2011 Chem. Mater. 23 5425
[5] Wolf S E, Leiterer J, Kappl M, Emmerling F, Tremel W 2008 J. Am. Chem. Soc. 130 12342
[6] Lee S, Ohsaka K, Rednikov A, Sadhal S S 2006 Ann. N. Y. Acad. Sci. 1077 75
[7] Tuckermann R, Bauerecker S, Cammenga H K 2005 Int. J. Thermophys. 26 1583
[8] Saha A, Basu S, Suryanarayana C, Kumar R 2010 Int. J. Heat Mass Transfer 53 5663
[9] Shao X P, Xie W J 2012 Acta Phys. Sin. 61 134302 (in Chinese) [邵学鹏, 解文军 2012 物理学报 61 134302]
[10] Brotton S J, Kaiser R I 2013 Rev. Sci. Instrum. 84 055114
[11] Chainani E T, Ngo K T, Scheeline A 2013 Anal. Chem. 85 2500
[12] Benmore C J, Weber J K R 2011 Phys. Rev. X 1 011004
[13] Benmore C J, Weber J K R, Tailor A N, Cherry B R, Yarger J L, Mou Q S, Weber W, Neuefeind J, Byrn S R 2013 J. Pharm. Sci. 102 1290
[14] Trinh E H, Robeyal J L 1994 Phys. Fluids 6 3567
[15] Du R J, Xie W J 2011 Acta Phys. Sin. 60 114302 (in Chinese) [杜人君, 解文军 2011 物理学报 60 114302]
[16] Qian Z W 2009 Nonlinear Acoustics (Beijing: Science Press) p1 (in Chinese) [钱祖文 2009 非线性声学 (北京: 科学出版社) 第1页]
[17] Aidun C K, Clausen J R 2010 Annu. Rev. Fluid Mech. 42 439
[18] Chen S, Doolen G 1998 Annu. Rev. Fluid Mech. 30 329
[19] Benzi R, Succi S, Vergassola M 1992 Phys. Rep. 222 145
[20] Guo Z L, Zheng C G, Shi B C 2002 Chin. Phys. 11 366
[21] Shi Z Y, Hu G H, Zhou Z W 2010 Acta Phys. Sin. 59 2595 (in Chinese) [石自媛, 胡国辉, 周哲玮 2010 物理学报 59 2595]
[22] Wu W, Sun D K, Dai T, Zhu M F 2012 Acta Phys. Sin. 61 150501 (in Chinese) [吴伟, 孙东科, 戴挺, 朱鸣芳 2012 物理学报 61 150501]
[23] Buick J M, Buckley C L, Greated C A, Gilbert J 2000 J. Phys. A: Math. Gen. 33 3917
[24] Haydock D, Yeomans J M 2001 J. Phys. A: Math. Gen. 34 5201
[25] Haydock D 2005 J. Phys. A: Math. Gen. 38 3265
[26] Barrios G, Rechtman R 2008 J. Fluid Mech. 596 191
[27] Halliday I, Hammond L A, Care C M, Good K, Stevens A 2001 Phys. Rev. E 64 011208
[28] Mukherjee S, Abraham J 2007 Phys. Rev. E 75 026701
[29] Li Q, He Y L, Tang G H, Tao W Q 2010 Phys. Rev. E 81 056707
[30] Lallemand P, Luo L S 2000 Phys. Rev. E 61 6546
[31] Landau L D, Lifshitz E M 1999 Fluid Mechanics (2nd Ed.) (Beijing: World Publishing Corporation) p45
[32] Saenger R A, Hudson G E 1960 J. Acoust. Soc. Am. 32 961
[33] Leung E, Lee C P, Jacobi N, Wang T G 1982 J. Acoust. Soc. Am. 72 615
[34] Xie W J, Wei B 2004 Phys. Rev. E 70 046611
[35] Xie W J, Wei B 2007 Chin. Phys. Lett. 24 135
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