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Free motion of a body in a boundary layer or channel flow

Published online by Cambridge University Press:  17 January 2017

Frank T. Smith
Frank T. Smith*
Affiliation:
Department of Mathematics, University College London, London WC1E 6BT, UK
*
†Email address for correspondence: f.smith@ucl.ac.uk
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Abstract

Coupling is considered between fluid flow and a freely moving body shorter than the development length in an oncoming boundary layer or channel flow but longer than the flow thickness. The body lies within the core of the flow. The coupling occurs between the inviscid-dominated displacement and the viscous–inviscid pressure, the latter acting to move the body. This interaction can be unstable. It is found however that three factors serve to stabilise the interaction as each one alters the decisive balance of angular momentum. One is a 10 % shift forward in the position of the centre of mass. The second is a degree of flexibility in the body shape by means of its response to the induced pressure force. Third is a slight streamwise movement of the body which is sufficient to modify the viscous–inviscid pressure response and again produce stabilisation. The effects are largely independent of the lateral position of the body.

JFM classification

Biological Fluid Dynamics: Biomedical flows Flow Control: Instability control Biological Fluid Dynamics: Swimming/flying
Type
Papers
Information
Journal of Fluid Mechanics , Volume 813 , 25 February 2017 , pp. 279 - 300
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Copyright
© 2017 Cambridge University Press 

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