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

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, in...

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Bibliographic Details
Published in:Journal of fluid mechanics 2022-04, Vol.936, Article A37
Main Authors: Jolley, Ellen M., Smith, Frank T.
Format: Article
Language:English
Subjects:
Aircraft
Asymptotic properties
Behavior
Body size
Bouncing
Boundary layers
Differential equations
Flow velocity
JFM Papers
Reynolds number
Surveying
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Summary: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2022.93