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http://hdl.handle.net/2122/16546
Authors: | Alberti, Tommaso* Carbone, Vincenzo* |
Title: | Lagrangian Particle Dispersion in a Poor Man’s Magnetohydrodynamic Turbulence Model | Journal: | Fractal and Fractional | Series/Report no.: | /7 (2023) | Publisher: | MDPI | Issue Date: | 2023 | DOI: | 10.3390/fractalfract7090662 | Abstract: | Lagrangian dispersion of fluid particle pairs refers to the study of how individual fluid particles disperse and move in a fluid flow, providing insights to understand transport phenomena in various environments, from laminar to turbulent conditions. Here, we explore this phenomenon in synthetic velocity and magnetic fields generated through a reduced-order model of the magnetohy- drodynamic equations, which is able to mimic both a laminar and a turbulent environment. In the case of laminar conditions, we find that the average square distance between particle pairs increases linearly with time, implying a dispersion pattern similar to Brownian motion at all time steps. On the other hand, under turbulent conditions, surprisingly enough we observe a Richardson scaling, indicating a super-ballistic dispersion pattern, which aligns with the expected scaling properties for a turbulent environment. Additionally, our study reveals that the magnetic field plays an organizing role. Lastly, we explore a purely hydrodynamic case without magnetic field effects, showing that, even in a turbulent environment, the behavior remains Brownian-like, highlighting the crucial role of the magnetic field in generating the Richardson scaling observed in our model. |
Appears in Collections: | Article published / in press |
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File | Description | Size | Format | |
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Alberti - FractFraction (2023).pdf | Open Access published article | 1.71 MB | Adobe PDF | View/Open |
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