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A heavy body translating in a boundary layer: 'crash', 'fly away' and 'bouncing' responses

Jolley, Ellen M; Smith, Frank T; (2022) A heavy body translating in a boundary layer: 'crash', 'fly away' and 'bouncing' responses. Journal of Fluid Mechanics , 936 , Article A37. 10.1017/jfm.2022.93. Green open access

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Abstract

The study concerns a slender, heavy body moving with streamwise velocity in a boundary layer. Modelling assumptions on body size reduce the governing equations for the body motion to a pair of nonlinear integro-differential equations (IDEs) which displays a wide range of distinguished behaviours, including eventual collision with the wall ('crash'), escape to infinity ('fly away') and repeatedly travelling far from the wall and back again without ever colliding or escaping ('bouncing'). The paper gives a survey of the variety of behaviour, as well as asymptotic analysis and insight into each category of fluid/body interaction and the conditions under which crash, fly away and bouncing occur.

Type: Article
Title: A heavy body translating in a boundary layer: 'crash', 'fly away' and 'bouncing' responses
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/jfm.2022.93
Publisher version: https://doi.org/10.1017/jfm.2022.93
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: boundary layers, nonlinear dynamical systems, aerodynamics
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10145023
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