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Swept-wing boundary-layer receptivity

Published online by Cambridge University Press:  18 April 2012

David Tempelmann ,
Ardeshir Hanifi  and
Dan S. Henningson
David Tempelmann*
Affiliation:
Linné Flow Centre, SeRC, KTH Mechanics, SE-100 44 Stockholm, Sweden
Ardeshir Hanifi
Affiliation:
Linné Flow Centre, SeRC, KTH Mechanics, SE-100 44 Stockholm, Sweden Swedish Defence Research Agency, FOI, SE-164 90 Stockholm, Sweden
Dan S. Henningson
Affiliation:
Linné Flow Centre, SeRC, KTH Mechanics, SE-100 44 Stockholm, Sweden
*
†Email address for correspondence: [email protected]
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Abstract

Adjoint solutions of the linearized incompressible Navier–Stokes equations are presented for a cross-flow-dominated swept-wing boundary layer. For the first time these have been computed in the region upstream of the swept leading edge and may therefore be used to predict receptivity to any disturbances of the incoming free stream as well as to surface roughness. In this paper we present worst-case scenarios, i.e. those external disturbances yielding maximum receptivity amplitudes of a steady cross-flow disturbance. In the free stream, such an ‘optimal’ disturbance takes the form of a streak which, while being convected downstream, penetrates the boundary layer and smoothly turns into a growing cross-flow mode. The ‘worst-case’ surface roughness has a wavy shape and is distributed in the chordwise direction. It is shown that, under such optimal conditions, the boundary layer is more receptive to surface roughness than to incoming free stream disturbances.

JFM classification

Boundary Layers: Boundary layer receptivity
Type
Papers
Information
Journal of Fluid Mechanics , Volume 700 , 10 June 2012 , pp. 490 - 501
Copyright
Copyright © Cambridge University Press 2012

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