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Irregular self-similar configurations of shock-wave impingement on shear layers

Published online by Cambridge University Press:  14 June 2019

Daniel Martínez-Ruiz Open the ORCID record for Daniel Martínez-Ruiz [Opens in a new window] ,
César Huete Open the ORCID record for César Huete [Opens in a new window] ,
Pedro J. Martínez-Ferrer Open the ORCID record for Pedro J. Martínez-Ferrer [Opens in a new window]  and
Daniel Mira Open the ORCID record for Daniel Mira [Opens in a new window]
Daniel Martínez-Ruiz
Affiliation:
Grupo de Mecánica de Fluidos, Universidad Carlos III, Av. Universidad 30, 28911, Leganés, Spain ETSIAE, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros, 3, 28040, Madrid, Spain
César Huete*
Affiliation:
Grupo de Mecánica de Fluidos, Universidad Carlos III, Av. Universidad 30, 28911, Leganés, Spain
Pedro J. Martínez-Ferrer
Affiliation:
Barcelona Supercomputing Center (BSC), C. Jordi Girona, 29, 08034, Barcelona, Spain
Daniel Mira
Affiliation:
Barcelona Supercomputing Center (BSC), C. Jordi Girona, 29, 08034, Barcelona, Spain
*
†Email address for correspondence: [email protected]
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Abstract

An oblique shock impinging on a shear layer that separates two uniform supersonic streams, of Mach numbers $M_{1}$ and $M_{2}$, at an incident angle $\unicode[STIX]{x1D70E}_{i}$ can produce regular and irregular interactions with the interface. The region of existence of regular shock refractions with stable flow structures is delineated in the parametric space $(M_{1},M_{2},\unicode[STIX]{x1D70E}_{i})$ considering oblique-shock impingement on a supersonic vortex sheet of infinitesimal thickness. It is found that under supercritical conditions, the oblique shock fails to deflect both streams consistently and to provide balanced flow properties downstream. In this circumstance, the flow renders irregular configurations which, in the absence of characteristic length scales, exhibit self-similar pseudosteady behaviours. These cases involve shocks moving upstream at constant speed and increasing their intensity to comply with equilibrium requirements. Differences in the variation of propagation speed among the flows yield pseudosteady configurations that grow linearly with time. Supercritical conditions are described theoretically and reproduced numerically using highly resolved inviscid simulation.

JFM classification

Boundary Layers: Free shear layers Aerodynamics: High-speed flow Compressible Flows: Shock waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 872 , 10 August 2019 , pp. 889 - 927
Copyright
© 2019 Cambridge University Press 

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