Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Pneumatic Shape and Drag Scaling Laws 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 pneumatic/aerodynamic drag underpinning pappus-mediated flight remains unresolved. In this paper, we will study the pneumatic/aerodynamic shape of dandelion and the scaling law of resistance, and find that the drag resistance coefficient is proportional to the -2/3 power of the dandelion pappus Reynolds number. As a by-product, the terminal velocity analytical expression of the dandelion seed is also obtained.

Keywords

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

Subject

Physical Sciences, Fluids and Plasmas Physics

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