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• W3207947346 abstract "Recent experiments on mucociliary clearance, an important defense against airborne pathogens, have raised questions about the topology of 2D flows. We introduce a framework for studying ensembles of 2D time-invariant flow fields and estimating the probability for a particle to leave a finite area (to clear out). We establish two upper bounds on this probability by leveraging different insights about the distribution of flow velocities on the closed and open streamlines. We also deduce an exact power-series expression for the trapped area based on the asymptotic dynamics of flow-field trajectories and complement our analytical results with numerical simulations." @default.
• W3207947346 created "2021-10-25" @default.
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• W3207947346 date "2021-10-20" @default.
• W3207947346 modified "2023-09-27" @default.
• W3207947346 title "Statistical topology of the streamlines of a 2D flow" @default.
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• W3207947346 doi "https://doi.org/10.48550/arxiv.2110.10624" @default.
• W3207947346 hasPublicationYear "2021" @default.
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