Universality in the emergence of oscillatory instabilities in turbulent flows

Abstract

Spontaneous emergence of periodic oscillations due to self-organization is ubiquitous in turbulent flows. The emergence of such oscillatory instabilities in turbulent fluid mechanical systems is often studied in different system-specific frameworks. We uncover the existence of a universal scaling behaviour during self-organization in turbulent flows leading to oscillatory instability. Our experiments show that the spectral amplitude of the dominant mode of oscillations scales inversely with the Hurst exponent of a fluctuating state variable following an inverse power law relation. Interestingly, we observe the same power law behaviour with a constant exponent near -2 across various turbulent systems such as aeroacoustic, thermoacoustic and aeroelastic systems.

arXiv comment5 pages, 4 figures and supplementary information

References in corpus (2)

• Phase Transitions and Scaling in Systems Far From Equilibrium
• Stability, sensitivity and optimisation of chaotic acoustic oscillations

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