Yue-Hong Qian, Ye Zhou
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
The theory of turbulent time correlations is applied to compute the frequency spectrum of sound radiated by isotropic turbulence. Assuming the quasi-normality of the fourth-order velocity correlation generated by Lighthill's theory, it is argued that the frequency distribution of radiated acoustic energy is determined by the Eulerian space-time correlation function. The frequency spectrum of the sound radiated by isotropic turbulence is found to scale as ω(-4/3) at high frequencies. Dimensional analysis based on Kolmogorov scaling predicts the dependence ω(-7/2) instead. The discrepancy is explained by the dependence of Eulerian time correlations on an additional dimensional parameter: the sweeping velocity of the most energetic scales of motion. (C) 2000 Elsevier Science B.V.
Yue-Hong Qian, Ye Zhou
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Jie-Zhi Wu, Ye Zhou, et al.
Physics of Fluids
Jie-Zhi Wu, Ye Zhou, et al.
Physics of Fluids
F. Bataille, Ye Zhou
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics