Wavelet Spectrum Analysis on Energy Transfer of Multi-Scale Structures in Wall Turbulence

XIA Zhen-yan; TIAN Yan; JIANG Nan

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XIA Zhen-yan, TIAN Yan, JIANG Nan. Wavelet Spectrum Analysis on Energy Transfer of Multi-Scale Structures in Wall Turbulence[J]. Applied Mathematics and Mechanics, 2009, 30(4): 409-416.

Citation:

XIA Zhen-yan, TIAN Yan, JIANG Nan. Wavelet Spectrum Analysis on Energy Transfer of Multi-Scale Structures in Wall Turbulence[J]. Applied Mathematics and Mechanics, 2009, 30(4): 409-416.

Citation:

XIA Zhen-yan, TIAN Yan, JIANG Nan. Wavelet Spectrum Analysis on Energy Transfer of Multi-Scale Structures in Wall Turbulence[J]. Applied Mathematics and Mechanics, 2009, 30(4): 409-416.

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Wavelet Spectrum Analysis on Energy Transfer of Multi-Scale Structures in Wall Turbulence

Tianjin Key Laboratory of Modern Engineering Mechanics;Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072, P. R. China

Received Date: 2008-09-25
Rev Recd Date: 2009-02-24
Publish Date: 2009-04-15

Abstract

Abstract

The streamwise velocity component at different vertical heights in wall turbulence was measured.Wavelet transform was employed to study the turbulent energy spectra,which indicates that the wavelet global spectrum results from the weighted average of Fourier spectrum based on wavelet scales.The wavelet transform with more vanishing moments can express the declining of turbulent spectrum;the local wavelet spectrum shows that the physical phenomena such as deforming or breakup of eddies have relations with the vertical position in boundary layer,and the energy-containing eddies exist in multi-scale form.Moreover,the size of these eddies is increasing with the measured points moving out of the wall.In the buffer region the small scale energy-containing eddies with higher frequency are excited.In outer region the maximal energy is concentrated on the low frequent large scale eddies and the frequent domain of energy-containing eddies becomes narrower.
- wall turbulence,
- wavelet spectrum,
- turbulent kinetic energy,
- energy-containing eddies,
- burst

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References(15)

References

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