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The long range persistence of wakes behind a row of roughness elements

Published online by Cambridge University Press:  11 February 2010

M. E. GOLDSTEIN ,
ADRIAN SESCU ,
PETER W. DUCK  and
MEELAN CHOUDHARI
M. E. GOLDSTEIN*
Affiliation:
National Aeronautics and Space Administration, Glenn Research Center, Cleveland, OH 44135, USA
ADRIAN SESCU
Affiliation:
University of Toledo, Department of Mechanical Industrial & Manufacturing Engineering, Toledo, OH 43606, USA
PETER W. DUCK
Affiliation:
University of Manchester, School of Mathematics, Manchester M13 9PL, UK
MEELAN CHOUDHARI
Affiliation:
National Aeronautics and Space Administration, Langley Research Center, Hampton, VA 23681, USA
*
†Email address for correspondence: [email protected]
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Abstract

We consider a periodic array of relatively small roughness elements whose spanwise separation is of the order of the local boundary-layer thickness and construct a local asymptotic high-Reynolds-number solution that is valid in the vicinity of the roughness. The resulting flow decays on the very short streamwise length scale of the roughness, but the solution eventually becomes invalid at large downstream distances and a new solution has to be constructed in the downstream region. This latter result shows that the roughness-generated wakes can persist over very long streamwise distances, which are much longer than the distance between the roughness elements and the leading edge. Detailed numerical results are given for the far wake structure.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 644 , 10 February 2010 , pp. 123 - 163
Copyright
Copyright © Cambridge University Press 2010

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