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<p>Random adiabatic pressure fluctuations in a turbulent medium are related to vortex fluctuations described by the classical theory of incompressible turbulence. These two types of pressure fluctuations have the same order of amplitude but different dispersion relations and different frequency spectra. Based on measurements in the atmospheric boundary layer and known results from measurements in wind tunnels, the equilibrium form of the spectrum of adiabatic noise in a turbulent medium is proposed. Calculations confirming the relationship between its energy and spectral width and the intensity of turbulent mixing in the ABL are performed. A hypothesis is proposed that allows us to represent Kolmogorov spectra of velocity and temperature fluctuations in the form of series of spectral densities that have no features in the low and high frequency regions of the spectrum.</p>

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Low-Frequency Adiabatic Fluctuations in the Atmospheric Boundary Layer

  • 期刊论文

  • 发表日期：

    2025年9月26日

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  • Vladislav Yushkov

摘要

Random adiabatic pressure fluctuations in a turbulent medium are related to vortex fluctuations described by the classical theory of incompressible turbulence. These two types of pressure fluctuations have the same order of amplitude but different dispersion relations and different frequency spectra. Based on measurements in the atmospheric boundary layer and known results from measurements in wind tunnels, the equilibrium form of the spectrum of adiabatic noise in a turbulent medium is proposed. Calculations confirming the relationship between its energy and spectral width and the intensity of turbulent mixing in the ABL are performed. A hypothesis is proposed that allows us to represent Kolmogorov spectra of velocity and temperature fluctuations in the form of series of spectral densities that have no features in the low and high frequency regions of the spectrum.