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arXiv · 2403.10630

Localization-delocalization transition for light particles in turbulence

Ziqi Wang·Xander M de Wit·Federico Toschi
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Abstract

Small bubbles in fluids raise to the surface due to Archimede's force. Remarkably, in turbulent flows this process is severely hindered by the presence of vortex filaments, which act as moving potential wells, dynamically trapping light particles and bubbles. Quantifying the statistical weights and roles of vortex filaments in turbulence is, however, still an outstanding experimental and computational challenge due to their small scale, fast chaotic motion, and transient nature. Here we show that, under the influence of a modulated oscillatory forcing, the collective bubble behaviour switches from a dynamically localized (insulator) to a delocalized (conductor) state. Additionally, we find that by varying the forcing frequency and amplitude, a remarkable resonant phenomenon between light particles and small-scale vortex filamenents emerges, likening particle behavior to a forced damped oscillator. We discuss how these externally actuated bubbles can be used as a new type of microscopic probes to investigate the space-time statistical properties of the smallest turbulence scales, allowing to quantitatively measure physical characteristics of vortex filaments. We develop a superposition model that is in excellent agreement with the simulation data of the particle dynamics which reveals the fraction of localized/delocalized particles as well as characteristics of the potential landscape induced by vortices in turbulence. Our approach paves the way to innovative ways to accurately measure turbulent properties and to the possibility to control light particles and bubble motions in turbulence with potential applications to wave breaking, medical imaging, drug/gene delivery, chemical reactions, wastewater treatment, and industrial mixing.

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Ziqi Wang, Xander M de Wit, Federico Toschi. 2024-09-14. Localization-delocalization transition for light particles in turbulence. https://doi.org/10.1073/pnas.2405459121

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