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Spontaneous radiation of sound by instability of a highly cooled hypersonic boundary layer

Published online by Cambridge University Press:  16 September 2016

Pavel V. Chuvakhov Open the ORCID record for Pavel V. Chuvakhov [Opens in a new window]  and
Alexander V. Fedorov
Pavel V. Chuvakhov*
Affiliation:
Central Aerodynamic Institute, 1 Zhukovskogo Str., Zhukovsky, Moscow reg., 140180, Russian Federation Moscow Institute of Physics and Technology, 9 Institutsky per., Dolgoprudny, Moscow reg., 141700, Russian Federation
Alexander V. Fedorov
Affiliation:
Moscow Institute of Physics and Technology, 9 Institutsky per., Dolgoprudny, Moscow reg., 141700, Russian Federation
*
†Email address for correspondence: pavel_chuvahov@mail.ru
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Abstract

The linear stability analysis predicts that the Mack second mode propagating in the boundary layer on a sufficiently cold plate can radiate acoustic waves into the outer inviscid flow. This effect, which is called as a spontaneous radiation (or emission) of sound, is associated with synchronization of the second mode with slow acoustic waves of the continuous spectrum. The theoretical predictions are confirmed by direct numerical simulations of wave trains and wave packets propagating in the boundary layer on a flat plate at free-stream Mach number 6 and wall-to-edge temperature ratio $T_{w}/T_{e}=0.5$. A non-uniform distribution of the wave packet components and the interference between the radiated acoustic waves result in an intricate pattern of the outer acoustic field. The spontaneous radiation of sound, in turn, strongly affects the wave packet in the boundary layer causing its elongation and modulation. This phenomenon may alter the downstream development of instability and delay the transition onset.

JFM classification

Boundary Layers: Boundary layer stability Boundary Layers: Boundary Layers Aerodynamics: High-speed flow
Type
Papers
Information
Journal of Fluid Mechanics , Volume 805 , 25 October 2016 , pp. 188 - 206
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Copyright
© 2016 Cambridge University Press 

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Chuvakhov Supplementary Material

Movie 1. Wave packet dynamics on the nearly-adiabatic wall, Tw/Te=7: pressure disturbance field (top) and wall pressure disturbance distribution (bottom)

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Chuvakhov Supplementary Material

Movie 2. LF wave packet dynamics, Tw/Te=0.5: pressure disturbance field (top) and wall pressure disturbance distribution (bottom)

Download Chuvakhov Supplementary Material(Video)
Video 717.9 KB