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• W2095492851 abstract "Propulsion at microscopic scales is often achieved through propagating traveling waves along hairlike organelles called flagella. Taylor's two-dimensional swimming sheet model is frequently used to provide insight into problems of flagellar propulsion. We derive numerically the large-amplitude wave form of the two-dimensional swimming sheet that yields optimum hydrodynamic efficiency: the ratio of the squared swimming speed to the rate-of-working of the sheet against the fluid. Using the boundary element method, we show that the optimal wave form is a front-back symmetric regularized cusp that is $25%$ more efficient than the optimal sine wave. This optimal two-dimensional shape is smooth, qualitatively different from the kinked form of Lighthill's optimal three-dimensional flagellum, not predicted by small-amplitude theory, and different from the smooth circular-arc-like shape of active elastic filaments." @default.
• W2095492851 created "2016-06-24" @default.
• W2095492851 creator A5003974917 @default.
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• W2095492851 date "2014-06-19" @default.
• W2095492851 modified "2023-10-18" @default.
• W2095492851 title "Optimal swimming of a sheet" @default.
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• W2095492851 doi "https://doi.org/10.1103/physreve.89.060701" @default.
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• W2095492851 hasPublicationYear "2014" @default.
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