Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Aerodynamic Shape and Drag Scaling Laws of Flexible Fibre in Flowing Medium

Version 1 : Received: 26 May 2022 / Approved: 27 May 2022 / Online: 27 May 2022 (10:46:59 CEST)

A peer-reviewed article of this Preprint also exists.

Sun, B.-H.; Guo, X.-L. Aerodynamic Shape and Drag Scaling Law of a Flexible Fibre in a Flowing Medium. Theoretical and Applied Mechanics Letters 2022, 100397, doi:10.1016/j.taml.2022.100397. Sun, B.-H.; Guo, X.-L. Aerodynamic Shape and Drag Scaling Law of a Flexible Fibre in a Flowing Medium. Theoretical and Applied Mechanics Letters 2022, 100397, doi:10.1016/j.taml.2022.100397.

Abstract

The study of a flexible body immersed in a flowing medium is one of best way to find its aerodynamic shape. This Letter revisited the problem first studied by Alben, Shelley and Zhang (Nature 420, 479-481, 2002). The aerodynamic shape of the fibre is found by simpler approach and universal drag scaling laws of the flexible fibre in flowing medium are proposed by using dimensional analysis. The Alben scaling laws is being generalized and confirmed to be universal. Our study show that the Alben number is a measurement of maximum curvature of the fibre forced by dynamic pressure. A complete Maple code is provided for finding aerodynamic shape of the fibre in the flowing medium.

Keywords

flexible fibre; flow medium; aerodynamic shape; drag; scaling laws

Subject

Physical Sciences, Applied Physics

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