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Direct numerical simulations of hypersonic boundary-layer transition with finite-rate chemistry

Published online by Cambridge University Press:  14 August 2014

Olaf Marxen ,
Gianluca Iaccarino  and
Thierry E. Magin
Olaf Marxen*
Affiliation:
Aeronautics and Aerospace Department, von Kármán Institute for Fluid Dynamics, Chaussée de Waterloo, 72, 1640 Rhode-St-Genèse, Belgium
Gianluca Iaccarino
Affiliation:
Center for Turbulence Research, Building 500, Stanford University, Stanford, CA 94305-3035, USA
Thierry E. Magin
Affiliation:
Aeronautics and Aerospace Department, von Kármán Institute for Fluid Dynamics, Chaussée de Waterloo, 72, 1640 Rhode-St-Genèse, Belgium
*
†Present address: Department of Mechanical Engineering, Imperial College London, Exhibition Road, South Kensington, London SW7 2AZ, UK. Email address for correspondence: o.marxen@imperial.ac.uk
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Abstract

The paper describes a numerical investigation of linear and nonlinear instability in high-speed boundary layers. Both a frozen gas and a finite-rate chemically reacting gas are considered. The weakly nonlinear instability in the presence of a large-amplitude two-dimensional wave is investigated for the case of fundamental resonance. Depending on the amplitude of this two-dimensional primary wave, strong growth of oblique secondary perturbations occurs for favourable relative phase differences between the two. For essentially the same primary amplitude, secondary amplification is almost identical for a reacting and a frozen gas. Therefore, chemical reactions do not directly affect the growth of secondary perturbations, but only indirectly through the change of linear instability and hence amplitude of the primary wave. When the secondary disturbances reach a sufficiently large amplitude, strongly nonlinear effects stabilize both primary and secondary perturbations.

JFM classification

Compressible Flows: Compressible boundary layers Reacting Flows: Laminar reacting flows Instability: Nonlinear instability
Type
Papers
Information
Journal of Fluid Mechanics , Volume 755 , 25 September 2014 , pp. 35 - 49
Copyright
© 2014 Cambridge University Press 

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