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基于速度源修正的浸入边界-晶格玻尔兹曼法研究仿生微流体驱动模型

刘飞飞 魏守水 魏长智 任晓飞

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基于速度源修正的浸入边界-晶格玻尔兹曼法研究仿生微流体驱动模型

刘飞飞, 魏守水, 魏长智, 任晓飞

Use of velocity source immersed boundary-lattice Boltzmann method to study bionic micro-fluidic driving model

Liu Fei-Fei, Wei Shou-Shui, Wei Chang-Zhi, Ren Xiao-Fei
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  • 浸入边界–晶格波尔兹曼法在流固耦合等复杂的流体系统中得到广泛的应用. 本文采用基于速度源修正的浸入边界–晶格玻尔兹曼法,建立了仿生微流体驱动模型,创新性地将波动弹性体的速度引入晶格玻尔兹曼方程,避免了传统浸入边界–晶格玻尔兹曼法中浸入边界速度-结构变形-力之间的转换,提高了计算效率和准确率. 研究了行波波动细丝对流场内流动速度和压力的影响,重点分析了驱动模型各项参数对微流体的驱动效果. 研究结果表明:细丝长度、频率、振幅的增加引起出口处流量的增加;波长、流体粘滞系数以及细丝位置与出口处流量呈复杂的非线性关系.
    Bionic micro-fluidic driving model is built in this paper based on the velocity source immersed boundary-lattice Boltzmann method. In order to avoid the transformation between the velocity and the force, this method introduces an immersed boundary into the lattice Boltzmann equation as the velocity source, which can reduce the computational expense. Firstly, the effects of the traveling waves produced by the elastic filament on the velocity and pressure of the flow field are studied. Secondly, the paper focuses on the influences of parameters on the flow rate. Results show that the flow rate increases with increasing frequency, wave amplitude, and filament length. Relationships between the flow rate and the other parameters of the model, such as the position of filament, wavelength, and kinematic viscosity of the fluid, are shown to be nonlinear and complicated.
    • 基金项目: 国家自然科学基金(批准号:51075243,11002083)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51075243, 11002083).
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    Smith D J, Gaffney E A, Blake J R, Kirkman-Brown J C 2009 J. Fluid. Mech. 621 289

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    Sun D K, Xiang N, Chen K, Ni Z H 2013 Acta Phys. Sin. 62 024703(in Chinese) [孙东科, 项楠, 陈科, 倪中华 2013 物理学报 62 024703]

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    Cao Z H, Luo K, Yi H L, Tan H P 2014 Int. J. Heat. Mass. Tran. 74 60

    [18]

    Michele L R, Claudia A, Valentina L, Giampiero S, Reinhard H 2012 Int. J. Numer. Meth. Fl. 70 1048

    [19]

    Ollila S, Denniston C, Karttunen M, Nissila T 2011 J. Chem. Phys. 134 064902

    [20]

    Fallah K, Khaya M, Hossein BM, Ghaderi A, Fattahi E 2012 J. Non-Newton Fluid 177 1

    [21]

    Mao W, Guo Z L, Wang L 2013 Acta Phys. Sin. 62 084703(in Chinese) [毛威, 郭照立, 王亮 2013 物理学报 62 084703]

    [22]

    Yang T Z, Ji S D, Yang X D, Fang B 2014 Int. J. Eng. Sci. 76 47

    [23]

    Koido T, Furusawa T, Moriyama K 2008 J. Power Sour. 175 127

    [24]

    Navidbakhsh M, Rezazadeh M 2012 Scientia Iranica 19 1329

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    He Y B, Lin X Y, Dong X L 2013 Acta Phys. Sin. 62 194701(in Chinese) [何郁波, 林晓艳, 董晓亮 2013 物理学报 62 194701]

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  • [1]

    Liu Y L, Zhu J, Luo X S 2009 Chin. Phys. B 18 3772

    [2]

    Jessy B R, Prashant K J 2013 Chem. Soc. Rev. 42 89

    [3]

    Mandy L Y S, Vincent G, Joseph C L, Wong P K 2013 Nanotechnology Magazine IEEE 7 31

    [4]

    Wang C H, Lee G B 2005 Biosens. Bioelectron. 21 419

    [5]

    Zhang H, Fan B C, Chen Z H, Chen S, Li H Z 2013 Chin. Phys. B 22 104701

    [6]

    Li Z G, Liu Q S, Liu R, Hu W, Deng X Y 2009 Chin. Phys. Lett. 26 114701

    [7]

    Laser D, Santiago J 2004 J. Micronech Microeng 14 35

    [8]

    Iverson B, Garimella S V 2008 Microfluid Nanofluid 5 16131

    [9]

    Liu D, Garimella S V 2009 Nanosc Microsc Therm 13 109

    [10]

    Zhong S, Moored KW, Pinedo V, Garcia-Gonzalez J, Smits A J 2013 Exp. Therm. Fluid Sci. 46 1

    [11]

    Purcell E 1977 Amer. J. Phys. 45 3

    [12]

    Wolgemuth C W, Powers T R, Goldstein R E 2000 Phys. Rev. Lett. 84 1623

    [13]

    Smith D J, Gaffney E A, Blake J R, Kirkman-Brown J C 2009 J. Fluid. Mech. 621 289

    [14]

    Tabak A F, Yesilyurt S 2008 Microfluid Nanofluid 4 489

    [15]

    Koz M, Yesilyurt S 2008 Proc. SPIE 6886, Microfluidics, BioMEMS, and Medical Microsystems VI San Jose, Cananda, January 19-22, 2008 p786

    [16]

    Sun D K, Xiang N, Chen K, Ni Z H 2013 Acta Phys. Sin. 62 024703(in Chinese) [孙东科, 项楠, 陈科, 倪中华 2013 物理学报 62 024703]

    [17]

    Cao Z H, Luo K, Yi H L, Tan H P 2014 Int. J. Heat. Mass. Tran. 74 60

    [18]

    Michele L R, Claudia A, Valentina L, Giampiero S, Reinhard H 2012 Int. J. Numer. Meth. Fl. 70 1048

    [19]

    Ollila S, Denniston C, Karttunen M, Nissila T 2011 J. Chem. Phys. 134 064902

    [20]

    Fallah K, Khaya M, Hossein BM, Ghaderi A, Fattahi E 2012 J. Non-Newton Fluid 177 1

    [21]

    Mao W, Guo Z L, Wang L 2013 Acta Phys. Sin. 62 084703(in Chinese) [毛威, 郭照立, 王亮 2013 物理学报 62 084703]

    [22]

    Yang T Z, Ji S D, Yang X D, Fang B 2014 Int. J. Eng. Sci. 76 47

    [23]

    Koido T, Furusawa T, Moriyama K 2008 J. Power Sour. 175 127

    [24]

    Navidbakhsh M, Rezazadeh M 2012 Scientia Iranica 19 1329

    [25]

    He Y B, Lin X Y, Dong X L 2013 Acta Phys. Sin. 62 194701(in Chinese) [何郁波, 林晓艳, 董晓亮 2013 物理学报 62 194701]

    [26]

    Jung R T, Hasan M K 2012 IEEE OCEANS Yeosu, Korea, May 21-24, 2012 p1

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出版历程
  • 收稿日期:  2014-02-27
  • 修回日期:  2014-05-22
  • 刊出日期:  2014-10-05

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