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A body in nonlinear near-wall shear flow: impacts, analysis and comparisons

Published online by Cambridge University Press:  13 October 2020

Ryan A. Palmer Open the ORCID record for Ryan A. Palmer [Opens in a new window]  and
Frank T. Smith
Ryan A. Palmer*
Affiliation:
Department of Mathematics, University College London, London WC1H 0AY, UK School of Mathematics, Fry Building, Woodland Road, Bristol BS8 1UG, UK
Frank T. Smith
Affiliation:
Department of Mathematics, University College London, London WC1H 0AY, UK
*
†Email address for correspondence: ryan.palmer@bristol.ac.uk
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Abstract

Interaction between body motion and fluid motion is considered inside a nonlinear viscous wall layer, with this unsteady two-way coupling leading to impact of the body on the wall. The present paper involves a reduced system analysis which is shown to be consistent with computational solutions from direct numerical simulations for a basic flat-plate shape presented in an allied paper (Palmer & Smith, J. Fluid Mech., 2020). The occurrence of impact depends mainly on fluid parameters and initial conditions. The body considered is translating upstream or downstream relative to the wall. Subsequent analysis focusses on the unusual nature of the impact at the leading edge. The impacting flow structure is found to have two nonlinear viscous–inviscid regions lying on either side of a small viscous region. The flow properties in the regions dictate the lift and torque which drive the body towards the wall. Pronounced flow separations are common as the impact then cuts off the mass flux in the gap between the body and the wall; here, a nonlinear similarity solution sheds extra light on the separations. Comparisons are made between results from direct simulations and asymptotics at increased flow rate.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 904 , 10 December 2020 , A32
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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