Volume 129, Number 2, January 2020
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||24 February 2020|
Universality in the emergence of oscillatory instabilities in turbulent flows
1 Department of Physics, IIT Madras - Chennai-600036, India
2 Department of Mechanical and Aerospace Engineering, University of California - San Diego, CA, USA
3 Department of Aerospace Engineering, IIT Madras - Chennai-600036, India
4 Potsdam Institute for Climate Impact Research - Potsdam, Germany
5 Department of Physics, Humboldt University - Berlin, Germany
6 Institute for Complex Systems and Mathematical Biology, University of Aberdeen - Aberdeen, UK
Received: 13 October 2019
Accepted: 4 February 2020
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.
PACS: 43.28.Kt – Aerothermoacoustics and combustion acoustics / 47.20.-k – Flow instabilities / 47.53.+n – Fractals in fluid dynamics
© EPLA, 2020
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