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Europhysics Letters, 129(2), 24004 (2020) DOI:10.1209/0295-5075/129/24004

Universality in the emergence of oscillatory instabilities in turbulent flows

I. Pavithran, V. R. Unni, A. J. Varghese, R. I. Sujith, A. Saha, N. Marwan, J. Kurths

Self-organization driven by feedback between subsystems is ubiquitous in turbulent fluid mechanical systems. This self-organization manifests as emergence of oscillatory instabilities and 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 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.

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