Persistent structures in a three-dimensional dynamical system with flowing and non-flowing regions
| Autor: | Julio M. Ottino, Paul P. Park, Paul B. Umbanhowar, Zafir Zaman, Mengqi Yu, Richard M. Lueptow |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Multidisciplinary
Opacity Advection Science General Physics and Astronomy General Chemistry Mechanics Rotation 01 natural sciences General Biochemistry Genetics and Molecular Biology Spherical shell Article 010305 fluids & plasmas Physics::Fluid Dynamics 0103 physical sciences Particle lcsh:Q Diffusion (business) lcsh:Science 010306 general physics Mixing (physics) Randomness |
| Zdroj: | Nature Communications, Vol 9, Iss 1, Pp 1-9 (2018) Nature Communications |
| ISSN: | 2041-1723 |
| Popis: | Mixing of fluids and mixing of solids are both relatively mature fields. In contrast, mixing in systems where flowing and non-flowing regions coexist remains largely unexplored and little understood. Here we report remarkably persistent mixing and non-mixing regions in a three-dimensional dynamical system where randomness is expected. A spherical shell half-filled with dry non-cohesive particles and periodically rotated about two horizontal axes generates complex structures that vary non-trivially with the rotation angles. They result from the interplay between fluid-like mixing by stretching-and-folding, and solids mixing by cutting-and-shuffling. In the experiments, larger non-mixing regions predicted by a cutting-and-shuffling model alone can persist for a range of protocols despite the presence of stretching-and-folding flows and particle-collision-driven diffusion. By uncovering the synergy of simultaneous fluid and solid mixing, we point the way to a more fundamental understanding of advection driven mixing in materials with coexisting flowing and non-flowing regions. Understanding mixing in yield stress materials, such as paint and sand, is complicated due to the coexistence of solid-like and fluid-like regimes. Zaman et al. examine mixing in a granular material in three dimensions and find persistent complex non-mixing structures within the chaotic flowing regime. |
| Databáze: | OpenAIRE |
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