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Measurement and analysis of temperature power spectrum scaling exponent in non-Kolmogorov turbulent atmosphere

Rao Rui-zhong

Open publisher page 3 citations

Abstract

The theory of non-Kolmogorov turbulence and the method to measure the scaling exponent of power spectrum are introduced.The experimental investigations of temperature fluctuation near the ground have been conducted in many places.The results show that most of the power spectrum exponents in real atmosphere are unequal to-5/3,and they always vary during the range of-2 and-1.The relativity of power spectrum exponent and the turbulence strength are analyzed.Meanwhile,distributions of power with scale at different turbulence strengths are also analyzed by the method of wavelet transform.As a result,the absolute value of temperature's power spectrum exponent to some extent has the tendency of increasing with the increment of turbulence strength.

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What this paper is about

The theory of non-Kolmogorov turbulence and the method to measure the scaling exponent of power spectrum are introduced.The experimental investigations of temperature fluctuation near the ground have been conducted in many places.The results show that most of the power spectrum exponents in real atmosphere are unequal to-5/3,and they always vary during the range of-2 and-1.The relativity of power spectrum exponent and the turbulence strength are analyzed.Meanwhile,distributions of power with scale at different turbulence strengths are also analyzed by the method of wavelet transform.As a result,the absolute value of temperature's power spectrum exponent to some extent has the tendency of increasing with the increment of turbulence strength.

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Available abstract

The theory of non-Kolmogorov turbulence and the method to measure the scaling exponent of power spectrum are introduced.The experimental investigations of temperature fluctuation near the ground have been conducted in many places.The results show that most of the power spectrum exponents in real atmosphere are unequal to-5/3,and they always vary during the range of-2 and-1.The relativity of power spectrum exponent and the turbulence strength are analyzed.Meanwhile,distributions of power with scale at different turbulence strengths are also analyzed by the method of wavelet transform.As a result,the absolute value of temperature's power spectrum exponent to some extent has the tendency of increasing with the increment of turbulence strength.

Key concepts: Exponent, Turbulence, Scaling, Physics, Spectral density, Statistical physics, Atmosphere (unit), Range (aeronautics)

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