Statistical topology of the streamlines of a two-dimensional flow

Kamb, Mason ; Byrum, Janie ; Huber, Greg ; Le Treut, Guillaume ; Mehta, Shalin ; Veytsman, Boris ; Yllanes, David

Resumen: 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.

Idioma: Inglés

DOI: 10.1088/1751-8121/aca940

Año: 2022

Publicado en: Journal of Physics A-Mathematical and Theoretical 55, 50 (2022), 505001 [14 pp.]
ISSN: 1751-8113

Factor impacto JCR: 2.1 (2022)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 14 / 56 = 0.25 (2022) - Q1 - T1
Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 47 / 85 = 0.553 (2022) - Q3 - T2

Factor impacto CITESCORE: 4.0 - Mathematics (Q1) - Physics and Astronomy (Q2)

Factor impacto SCIMAGO: 0.718 - Mathematical Physics (Q2) - Modeling and Simulation (Q2) - Statistics and Probability (Q2) - Statistical and Nonlinear Physics (Q2) - Physics and Astronomy (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-094684-B-C21

Tipo y forma: Article (Published version)