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EXTENDED SELF SIMILARITY OF PASSIVE SCALAR IN RAYLEIGH-BENARD CONVECTION FLOW BASED ON WAVELET TRANSFORM
Authors:Fu Qiang  Xia Keqing
Institution:1. College of Science, PLA University of Science and Technology Nanjing 210016,P. R. China;Department of Physics, The Chinese University of Hong Kong, Shatian, Hong Kong,P. R. China
2. Department of Physics, The Chinese University of Hong Kong, Shatian, Hong Kong,P. R. China
Abstract:Wavelet transform is used to analyze the scaling rule convection flow from two aspects. By utilizing the method of extended self similarity (ESS), one can find the obtained scaling exponent agrees well with the one obtained from the temperature data in a experiment of wind tunnel. And then we propose a newly defined formula based on wavelet transform, and can determine the scaling exponent ξ(q) of temperature data. The obtained results demonstrate that we can correctly extract ξ(q) by using the method which is named as wavelet transform maximum modulus (WTMM).``
Keywords:Rayleigh-Bénard convection  wavelet transform  extended self similarity  temperature data
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