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Instabilities in oblique shock wave/laminar boundary-layer interactions

Article dans une revue avec comité de lecture
Author
GUIHO, F.
134975 Laboratoire de Dynamique des Fluides [DynFluid]
156325 Centre National d'Etudes Spatiales - Direction Des Lanceurs. [CNES]
ALIZARD, Frédéric
694 Laboratoire de Mecanique des Fluides et d'Acoustique [LMFA]
134975 Laboratoire de Dynamique des Fluides [DynFluid]
ROBINET, Jean-Christophe
134975 Laboratoire de Dynamique des Fluides [DynFluid]
492366 Airbus Safran Launchers

URI
http://hdl.handle.net/10985/17885
DOI
10.1017/jfm.2015.729
Date
2016
Journal
Journal of Fluid Mechanics

Abstract

The interaction of an oblique shock wave and a laminar boundary layer developing over a flat plate is investigated by means of numerical simulation and global linear-stability analysis. Under the selected flow conditions (free-stream Mach numbers, Reynolds numbers and shock-wave angles), the incoming boundary layer undergoes separation due to the adverse pressure gradient. For a wide range of flow parameters, the oblique shock wave/boundary-layer interaction (OSWBLI) is seen to be globally stable. We show that the onset of two-dimensional large-scale structures is generated by selective noise amplification that is described for each frequency, in a linear framework, by wave-packet trains composed of several global modes. A detailed analysis of both the eigenspectrum and eigenfunctions gives some insight into the relationship between spatial scales (shape and localization) and frequencies. In particular, OSWBLI exhibits a universal behaviour. The lowest frequencies correspond to structures mainly located near the separated shock that emit radiation in the form of Mach waves and are scaled by the interaction length. The medium frequencies are associated with structures mainly localized in the shear layer and are scaled by the displacement thickness at the impact. The linear process by which OSWBLI selects frequencies is analysed by means of the global resolvent. It shows that unsteadiness are mainly associated with instabilities arising from the shear layer. For the lower frequency range, there is no particular selectivity in a linear framework. Two-dimensional numerical simulations show that the linear behaviour is modified for moderate forcing amplitudes by nonlinear mechanisms leading to a significant amplification of low frequencies. Finally, based on the present results, we draw some hypotheses concerning the onset of unsteadiness observed in shock wave/turbulent boundary-layer interactions.

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