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- W4313214285 abstract "Abstract Recent experiments on mucociliary clearance, an important defense against airborne pathogens, have raised questions about the topology of two-dimensional (2D) flows, such as the proportion of topologically closed and open streamlines. 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.
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- W4313214285 date "2022-12-16" @default.
- W4313214285 modified "2023-09-27" @default.
- W4313214285 title "Statistical topology of the streamlines of a two-dimensional flow" @default.
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- W4313214285 doi "https://doi.org/10.1088/1751-8121/aca940" @default.
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