Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (10): 983-990.

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USING WAVELET TRANSFORM TO STUDY THE LIPSCHITZ LOCAL SINGULAR EXPONENT IN WALL TURBULENCE

Jiang Nan, Wang Zhendong, Shu Wei   

  1. Department of Mechanics, Tianjin University, Tianjin 300072; Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Academia Sinica, Beijing 100080, P. R. China
  • Received:1997-01-31 Revised:1998-03-06 Online:1998-10-18 Published:1998-10-18
  • Supported by:

    Project supported by the National Natural Science Foundation or China (19672040)

Abstract: In this paper, wavelet transform is introduced to study the Lipschitz local singular exponent for characterizing the local singularity behavior of fluctuating velocity in wall turbulence. It is found that the local singular exponent is negative when the ejections and sweeps of coherent structures occur in a turbulent boundary layer.

Key words: wavelet transform, coherent structure, Lipschitz local singular exponent

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