JIANG Nan, WANG Zhen-dong, SHU Wei. Extended Self-Similar Scaling Law of Multi-Scale Eddy Structure in Wall Turbulence[J]. Applied Mathematics and Mechanics, 2000, 21(9): 916-924.
Citation: JIANG Nan, WANG Zhen-dong, SHU Wei. Extended Self-Similar Scaling Law of Multi-Scale Eddy Structure in Wall Turbulence[J]. Applied Mathematics and Mechanics, 2000, 21(9): 916-924.

Extended Self-Similar Scaling Law of Multi-Scale Eddy Structure in Wall Turbulence

  • Received Date: 1999-09-03
  • Rev Recd Date: 2000-06-08
  • Publish Date: 2000-09-15
  • The longitudinal fluctuating velocity of a turbulent boundary layer was measured in a water channel at a moderate Reynolds number.The extended self-similar scaling law of structure function proposed by Benzi was verified.The longitudinal fluctuating velocity in the turbulent boundary layer was decomposed into many multi-scale eddy structures by wavelet transform.The extended self-similar scaling law of structure function for each scale eddy velocity was investigated.The conclusions are 1)The statistical properties of turbulence could be self-similar not only at high Reynolds number,but also at moderate and low Reynolds number,and they could be characterized by the same set of scaling exponents ζ1(n)=n/3 and ζ2(n)=n/3 of the fully developed regime.2)The range of scales where the extended self-similarity valid is much larger than the inertial range and extends far deep into the dissipation range with the same set of scaling exponents.3)The extended self-similarity is applicable not only for homogeneous turbulence,but also for shear turbulence such as turbulent boundary layers.
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  • [1]
    Benzi R, Ciliberto S, Tripiccione R, et al. Extended self-similarity in turbulence flows[J]. Physical Review E,1993,48(1):29-32.
    [2]
    Stolovitzky G, Sreenivasan K R. Scaling of structure functions[J]. Physical Review E,1993,48(1):33-36.
    [3]
    Tennekes H, Lumley J L. A First Course in Turbulence[M]. Cambridge Massachusetts and London, England: MIT Press,1972.
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