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When a small thin two-dimensional body enters a viscous wall layer

Palmer, R; Smith, F; (2019) When a small thin two-dimensional body enters a viscous wall layer. European Journal of Applied Mathematics 10.1017/S0956792519000378. (In press). Green open access

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Abstract

If a body enters a viscous-inviscid fluid layer near a wall, then significant effects can be felt from the presence of incident vorticity, viscous forces and nonlinear forces. The focus here is on the response in the outer edge of such a wall layer. Nonlinear two-dimensional unsteady behaviour is examined through modelling, computation and analysis applied for a thin body travelling streamwise upstream or downstream or staying still relative to the wall. The wall layer with its balance between inviscid and viscous effects interacts freely with the body movement, causing relatively high magnitudes of pressure on top of the body and nonlinear responses in the gap between the body and the wall. The study finds explicit solutions for the motion of the body, separation of the flow arising near the wall and possible instabilities occurring over the length scale of any short body.

Type: Article
Title: When a small thin two-dimensional body enters a viscous wall layer
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0956792519000378
Publisher version: https://doi.org/10.1017/S0956792519000378
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: Viscous–inviscid interaction, fluid–solid interactions, boundary-layer theory
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
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
URI: https://discovery.ucl.ac.uk/id/eprint/10088107
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