Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Aerodynamic Shape, Scaling Law of Drag and Terminal Speed of the Dandelion

Version 1 : Received: 18 June 2022 / Approved: 20 June 2022 / Online: 20 June 2022 (09:41:58 CEST)
Version 2 : Received: 11 April 2023 / Approved: 12 April 2023 / Online: 12 April 2023 (04:46:14 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 2023, 13, 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 2023, 13, 100397, doi:10.1016/j.taml.2022.100397.

Abstract

The common dandelion uses a bundle of drag-enhancing bristles (the pappus) that enables seed dispersal over formidable distances; however, the scaling laws of aerodynamic drag underpinning pappus-mediated flight remains unresolved. In this paper, we study the aerodynamic shape of dandelion, derive the scaling law of resistance, determine the Vogel exponent. In particular, we find that the total drag coefficient is proportional to the -2/3 power of the dandelion pappus Reynolds number, and obtain the terminal velocity of the dandelion seed under gravitation field.

Keywords

Dandelion; pappus; flexible filament; wind-dispersal; aerodynamic shape; drag; Reynolds number; scaling laws

Subject

Physical Sciences, Fluids and Plasmas Physics

Comments (1)

Comment 1
Received: 12 April 2023
Commenter: Bohua Sun
Commenter's Conflict of Interests: Author
Comment: 1. Paper title is changed 2. Fig 2 is changed
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