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• W3153241521 abstract "We consider the problem of an inextensible but flexible fiber advected by a steady chaotic flow, and ask the simple question whether the fiber can spontaneously knot itself. Using a 1D Cosserat model, a simple local viscous drag model and discrete contact forces, we explore the probability of finding knots at any given time when the fiber is interacting with the ABC class of flows. The bending rigidity is shown to have a marginal effect compared to that of increasing the fiber length. Complex knots are formed up to 11 crossings, but some knots are more probable than others. The finite-time Lyapunov exponent of the flow is shown to have a positive effect on the knot probability. Finally, contact forces appear to be crucial since knotted configurations can remain stable for times much longer than the turnover time of the flow, something that is not observed when the fiber can freely cross itself." @default.
• W3153241521 created "2021-04-26" @default.
• W3153241521 creator A5003912444 @default.
• W3153241521 date "2021-04-12" @default.
• W3153241521 modified "2023-09-26" @default.
• W3153241521 title "Spontaneous knotting of a flexible fiber in chaotic flows" @default.
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• W3153241521 doi "https://doi.org/10.1103/physreve.103.043101" @default.
• W3153241521 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/34005912" @default.
• W3153241521 hasPublicationYear "2021" @default.
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