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圆形射流中心线上小尺度湍流的统计特性及其受高频噪声的影响

徐敏义 杜诚 米建春

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圆形射流中心线上小尺度湍流的统计特性及其受高频噪声的影响

徐敏义, 杜诚, 米建春

Centreline statistics of the small-scale turbulence of a circular jet and their dependence on high frequency noise

Xu Min-Yi, Du Cheng, Mi Jian-Chun
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  • 本文采用热线风速仪测量了出口雷诺数为Re (≡ Ujd/ν) = 20100的圆形射流的中心线轴向速度,其中Uj为动量平均出口速度,d为喷嘴出口直径,ν为运动黏性系数.在有效去除热线测量数据中的高频噪声后,作者对射流中心线上小尺度湍流统计量的变化规律进行了系统的分析.研究发现,射流在经过一定距离的发展后,其小尺度统计量逐渐进入自相似状态,湍动能平均耗散率ε随下游距离的增加以指数形
    This study systematically investigates the statistics of the centreline small-scale turbulence of a circular jet issuing from a smooth contraction nozzle. Detailed velocity measurements were performed for the exit Reynolds number of Re=20100, where Re≡Ujd /ν with Uj being the exit mean velocity, d the nozzle diameter and ν the kinematic viscosity. After effectively filtering out high frequency noises, statistical properties of the small-scale turbulence were obtained appropriately; those properties include turbulence energy dissipation rate, Kolmogorov length scale, Taylor scale, turbulence Reynolds number, skewness and flatness of the velocity derivative. It is observed that these properties satisfy their self-preserving relations in the far field. It is also revealed that the small-scale turbulence reaches the self-preserving state earlier than does the large-scale motion. Besides, the smallest-scale turbulence depends least on the initial and boundary conditions and therefore behaves most universally across different flows.
    • 基金项目: 国家高技术研究发展计划(批准号:2007AA05Z300)资助的课题.
    [1]

    Du C, Xu M, Mi J 2010 Acta Phys. Sin. 59 6323(in Chinese) [杜 诚、 徐敏义、 米建春 2010 物理学报 59 6323]

    [2]

    Antonia R A, Satyaprakash B R, Hussain A 1980 Phys. Fluids 23 695

    [3]

    Dimotakis P E 2000 J. Fluid Mech. 409 69

    [4]

    Pope S 2000 Turbulent flows (Cambridge: Cambridge Univ. Press) p101

    [5]

    Friehe C, Van Atta C, Gibson C 1971 AGARD Turbulent Shear Flows CP -93 18.1

    [6]

    Hussein H, Capp S, George W 1994 J. Fluid Mech. 258 31

    [7]

    Wygnanski I, Fiedler H 1969 J. Fluid Mech. 38 577

    [8]

    Antonia R A, Satyaprakash B, Hussain A 1982 J. Fluid Mech. 119 55

    [9]

    Mi J, Deo R C, Nathan G J 2005 Phys. Rev. E 71 066304

    [10]

    Mi J, Feng B 2010 Acta Phys. Sin. 59 4748(in Chinese) [米建春、 冯宝平 2010 物理学报 59 4748]

    [11]

    Hinze J O 1975 Turbulence: an Introduction to its Mechanism and Theory (New York:McGraw-Hill) p13

    [12]

    Kolmogorov A N 1941 Dokl. Akad. Nauk SSSR 30 301

    [13]

    Champagne F 1978 J. Fluid Mech. 86 67

    [14]

    Meng Q, Cai Q, Li C 2004 Acta Phys. Sin. 53 3090 (in Chinese) [孟庆国、 蔡庆东、 李存标 2004 物理学报 53 3090]

    [15]

    Todde V, Spazzini P, Sandberg M 2009 Expt. Fluids 47 279

    [16]

    Van Atta C, Chen W 1970 J. Fluid Mech. 44 145

    [17]

    Sreenivasan K R, Antonia R A 1997 Annu. Rev. Fluid Mech. 29 435

    [18]

    Su L, Clemens N K 2003 J. Fluid Mech. 488 1

    [19]

    Mazellier N, Vassilicos J C 2008 Phys. Fluids 20 015101

  • [1]

    Du C, Xu M, Mi J 2010 Acta Phys. Sin. 59 6323(in Chinese) [杜 诚、 徐敏义、 米建春 2010 物理学报 59 6323]

    [2]

    Antonia R A, Satyaprakash B R, Hussain A 1980 Phys. Fluids 23 695

    [3]

    Dimotakis P E 2000 J. Fluid Mech. 409 69

    [4]

    Pope S 2000 Turbulent flows (Cambridge: Cambridge Univ. Press) p101

    [5]

    Friehe C, Van Atta C, Gibson C 1971 AGARD Turbulent Shear Flows CP -93 18.1

    [6]

    Hussein H, Capp S, George W 1994 J. Fluid Mech. 258 31

    [7]

    Wygnanski I, Fiedler H 1969 J. Fluid Mech. 38 577

    [8]

    Antonia R A, Satyaprakash B, Hussain A 1982 J. Fluid Mech. 119 55

    [9]

    Mi J, Deo R C, Nathan G J 2005 Phys. Rev. E 71 066304

    [10]

    Mi J, Feng B 2010 Acta Phys. Sin. 59 4748(in Chinese) [米建春、 冯宝平 2010 物理学报 59 4748]

    [11]

    Hinze J O 1975 Turbulence: an Introduction to its Mechanism and Theory (New York:McGraw-Hill) p13

    [12]

    Kolmogorov A N 1941 Dokl. Akad. Nauk SSSR 30 301

    [13]

    Champagne F 1978 J. Fluid Mech. 86 67

    [14]

    Meng Q, Cai Q, Li C 2004 Acta Phys. Sin. 53 3090 (in Chinese) [孟庆国、 蔡庆东、 李存标 2004 物理学报 53 3090]

    [15]

    Todde V, Spazzini P, Sandberg M 2009 Expt. Fluids 47 279

    [16]

    Van Atta C, Chen W 1970 J. Fluid Mech. 44 145

    [17]

    Sreenivasan K R, Antonia R A 1997 Annu. Rev. Fluid Mech. 29 435

    [18]

    Su L, Clemens N K 2003 J. Fluid Mech. 488 1

    [19]

    Mazellier N, Vassilicos J C 2008 Phys. Fluids 20 015101

计量
  • 文章访问数:  6885
  • PDF下载量:  700
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-05-11
  • 修回日期:  2010-05-28
  • 刊出日期:  2011-03-15

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