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Global stability of swept flow around a parabolic body: the neutral curve

Published online by Cambridge University Press:  12 May 2011

CHRISTOPH J. MACK  and
PETER J. SCHMID
CHRISTOPH J. MACK
Affiliation:
Laboratoire d'Hydrodynamique (LadHyX), CNRS-École Polytechnique, F-91128 Palaiseau, France Department of Numerical Mathematics, Universität der Bundeswehr (UniBw), D-85577 Munich, Germany
PETER J. SCHMID*
Affiliation:
Laboratoire d'Hydrodynamique (LadHyX), CNRS-École Polytechnique, F-91128 Palaiseau, France
*
†Email address for correspondence: peter@ladhyx.polytechnique.fr
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Abstract

The onset of transition in the leading-edge region of a swept blunt body depends crucially on the stability characteristics of the flow. Modelling this flow configuration by swept compressible flow around a parabolic body, a global approach is taken to extract pertinent stability information via a DNS-based iterative eigenvalue solver. Global modes combining features from boundary-layer and acoustic instabilities are presented. A parameter study, varying the spanwise disturbance wavenumber and the sweep Reynolds number, showed the existence of unstable boundary-layer and acoustic modes. The corresponding neutral curve displays two overlapping regions of exponential growth and two critical Reynolds numbers, one for boundary-layer instabilities and one for acoustic instabilities. The employed global approach establishes a first neutral curve, delineating stable from unstable parameter configurations, for the complex flow about a swept parabolic body with corresponding implications for swept leading-edge flow.

JFM classification

Boundary Layers: Boundary layer stability Compressible Flows: Compressible boundary layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 678 , 10 July 2011 , pp. 589 - 599
Copyright
Copyright © Cambridge University Press 2011

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References

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