EXTENDED SELF SIMILARITY OF PASSIVE SCALAR IN RAYLEIGH-BÉNARD CONVECTION FLOW BASED ON WAVELET TRANSFORM

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 804-810.

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EXTENDED SELF SIMILARITY OF PASSIVE SCALAR IN RAYLEIGH-BÉNARD CONVECTION FLOW BASED ON WAVELET TRANSFORM

FU Qiang^1,2, XIA Ke-qing²

1. College of Physics, Meteorology Institute of Science and Engineering University of PLA, Nanjing 211101, P R China;
2. Department of Physics, Chinese University of Hong Kong, Shatian, Hong Kong, P R China

Received:2000-12-25 Revised:2002-04-15 Online:2002-07-18 Published:2002-07-18
Supported by:
the Research Grants Council of the Hongkong Special(CUHK319/96P)

Abstract

Abstract: Wavetet transform was used to analyze the scaling law of temperature data (passive scalar) in Rayleigh-Bénard convection flow from two aspects. The first one was to utilize the method of extended self similarity, presented first by Benzi et al., to study the scaling exponent of temperature data. The obtained results show that the inertial range is much wider than that one determined directly from the conventional structure function, and find the obtained scaling exponent agrees well with the one obtained from the temperature data in an experiment of wind tunnel. The second one was that, by extending the formula which was proposed by A. Arneodo et al. for extracting the scaling exponent ζ(q) of velocity data to temperature data, a newly defined formula which is also based on wavelet transform, and can determine the scaling exponent ξ(q) of temperature data was proposed. The obtained results demonstrate that by using the method which is named as WTMM (wavelet transform maximum modulus) ξ(q) correctly can be extracted.

2010 MSC Number:

O359⁺.1

FU Qiang;XIA Ke-qing. EXTENDED SELF SIMILARITY OF PASSIVE SCALAR IN RAYLEIGH-BÉNARD CONVECTION FLOW BASED ON WAVELET TRANSFORM. Applied Mathematics and Mechanics (English Edition), 2002, 23(7): 804-810.

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EXTENDED SELF SIMILARITY OF PASSIVE SCALAR IN RAYLEIGH-BÉNARD CONVECTION FLOW BASED ON WAVELET TRANSFORM

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