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A scaling analysis for turbulent shock-wave/boundary-layer interactions

Published online by Cambridge University Press:  02 January 2013

L. J. Souverein ,
P. G. Bakker  and
P. Dupont
L. J. Souverein
Affiliation:
Astrium GmbH Space Transportation, Propulsion & Equipment – Advanced Programmes, Engineering & Technology, 81663 Munich, Germany
P. G. Bakker
Affiliation:
Faculty of Aerospace Engineering, Delft University of Technology, Kluyverweg 1, 2629 HS, Delft, The Netherlands
P. Dupont*
Affiliation:
Institut Universitaire des Systèmes Thermiques Industriels, Aix-Marseille Université and UMR CNRS 7343, Marseille 13013, France
*
†Email address for correspondence: [email protected]
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Abstract

A model based on mass conservation properties is developed for shock-wave/boundary-layer interactions (SWBLIs), aimed at reconciling the observed great diversity in flow organization documented in the literature, induced by variations in interaction geometry and aerodynamic conditions. It is the basis for a scaling approach for the interaction length that is valid independent of the geometry of the flow (considering compression corners and incident-reflecting shock interactions). As part of the analysis, a scaling argument is proposed for the imposed pressure jump that depends principally on the free-stream Mach number and the flow deflection angle. Its interpretation as a separation criterion leads to a successful classification of the separation states for turbulent SWBLIs (attached, incipient or separated). In addition, the dependence of the interaction length on the Reynolds number and the Mach numbers is accounted for. A large compilation of available data provides support for the validity of the model. Some general properties on the state of the flow are derived, independent of the geometry of the flow and for a wide range of Mach numbers and Reynolds numbers.

JFM classification

Compressible Flows: Compressible boundary layers Compressible Flows: Compressible Flows Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 714 , 10 January 2013 , pp. 505 - 535
Copyright
©2013 Cambridge University Press

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