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Non-localized boundary layer instabilities resulting from leading edge receptivity at moderate supersonic Mach numbers

Published online by Cambridge University Press:  16 January 2018

M. E. Goldstein Open the ORCID record for M. E. Goldstein [Opens in a new window]  and
Pierre Ricco Open the ORCID record for Pierre Ricco [Opens in a new window]
M. E. Goldstein*
Affiliation:
National Aeronautics and Space Administration, Glenn Research Centre, Cleveland, OH 44135, USA
Pierre Ricco
Affiliation:
Department of Mechanical Engineering, The University of Sheffield, S1 3JD Sheffield, UK
*
†Email address for correspondence: marvin.e.goldstein@nasa.gov
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Abstract

This paper uses matched asymptotic expansions to study the non-localized (which we refer to as global) boundary layer instabilities generated by free-stream acoustic and vortical disturbances at moderate supersonic Mach numbers. The vortical disturbances produce an unsteady boundary layer flow that develops into oblique instability waves with a viscous triple-deck structure in the downstream region. The acoustic disturbances (which for reasons given herein are assumed to have obliqueness angles that are close to a certain critical angle) generate slow boundary layer disturbances which eventually develop into oblique stable disturbances with an inviscid triple-deck structure in a region that lies downstream of the viscous triple-deck region. The paper shows that both the vortically generated instabilities and the acoustically generated oblique disturbances ultimately develop into modified Rayleigh-type instabilities (which can either grow or decay) further downstream.

JFM classification

Boundary Layers: Boundary Layers Boundary Layers: Boundary layer receptivity Compressible Flows: Compressible boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 838 , 10 March 2018 , pp. 435 - 477
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Copyright
© Cambridge University Press 2018. This is a work of the U.S. Government and is not subject to copyright protection in the United States. 

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