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

R A Palmer, F T Smith

Research output: Contribution to journalArticle (Academic Journal)peer-review

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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.
Original languageEnglish
JournalEuropean Journal of Applied Mathematics
Early online date16 Dec 2019
DOIs
Publication statusE-pub ahead of print - 16 Dec 2019

Keywords

  • viscous-inviscid interaction
  • fluid-solid interactions
  • boundary-layer theory

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