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Global stability of swept flow around a parabolic body: connecting attachment-line and crossflow modes

Published online by Cambridge University Press:  25 September 2008

CHRISTOPH J. MACK ,
PETER J. SCHMID  and
JÖRN L. SESTERHENN
CHRISTOPH J. MACK
Affiliation:
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
JÖRN L. SESTERHENN
Affiliation:
Department of Numerical Mathematics, Universität der Bundeswehr (UniBw), D-85577 Munich, Germany
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Abstract

The global linear stability of a three-dimensional compressible flow around a yawed parabolic body of infinite span is investigated using an iterative eigenvalue method in conjunction with direct numerical simulations. The computed global spectrum shows an unstable branch consisting of three-dimensional boundary layer modes whose amplitude distributions exhibit typical characteristics of both attachment-line and crossflow modes. In particular, global eigenfunctions with smaller phase velocities display a more pronounced structure near the stagnation line, reminiscent of attachment-line modes while still featuring strong crossflow vortices further downstream. This analysis establishes a link between the two prevailing instability mechanisms on a swept parabolic body which, so far, have only been studied separately and locally. A parameter study shows maximum modal growth for a spanwise wavenumber of β = 0.213, suggesting a preferred disturbance length scale in the sweep direction.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 611 , 25 September 2008 , pp. 205 - 214
Copyright
Copyright © Cambridge University Press 2008

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References

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