Striped patterns in radially driven suspensions with open boundaries

We study the motion of radially driven fluid–immersed particles in a novel Hele–Shaw cell with open boundaries. The initially uniform suspension forms a striped pattern within a specific range of horizontal oscillation frequencies and for sufficiently large amplitudes. We observe that the initial co...

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Bibliographic Details
Published in:Physics of fluids (1994) 2021-10, Vol.33 (10)
Main Authors: Mohammadi, Mahdieh, Maleki, Maniya, Wysocki, Adam, Shaebani, M. Reza
Format: Article
Language:English
Subjects:
Amplitudes
Boundaries
Fluid dynamics
Physics
Shear stress
Steady state
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Summary:We study the motion of radially driven fluid–immersed particles in a novel Hele–Shaw cell with open boundaries. The initially uniform suspension forms a striped pattern within a specific range of horizontal oscillation frequencies and for sufficiently large amplitudes. We observe that the initial coarsening dynamics of the stripes gradually slows down and the pattern reaches a steady state after a few minutes. The distance between the stripes in the steady state exhibits an exponentially saturating increase with increased oscillation amplitude or frequency. The width of the stripes decreases as a power-law with the frequency, while its amplitude dependence follows a logistic function. We propose a mechanism—based on the interplay between shear stress, hydrodynamic interactions, and frictional forces—to link the structural characteristics of the stripes to the properties of the oscillatory external drive.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0065801