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声悬浮过程的格子Boltzmann方法研究

解文军 滕鹏飞

声悬浮过程的格子Boltzmann方法研究

解文军, 滕鹏飞
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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.
    • 基金项目: 国家自然科学基金(批准号:51071126,51371148)资助的课题.
    [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

  • [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

  • 引用本文:
    Citation:
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  • PDF下载量:  540
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-01-17
  • 修回日期:  2014-03-13
  • 刊出日期:  2014-08-05

声悬浮过程的格子Boltzmann方法研究

  • 1. 西北工业大学空间应用物理与化学教育部重点实验室, 西安 710072
    基金项目: 

    国家自然科学基金(批准号:51071126,51371148)资助的课题.

摘要: 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.

English Abstract

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