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Numerical modelling of supersonic boundary-layer receptivity to solid particulates

Published online by Cambridge University Press:  27 November 2018

Pavel V. Chuvakhov Open the ORCID record for Pavel V. Chuvakhov [Opens in a new window] ,
Alexander V. Fedorov Open the ORCID record for Alexander V. Fedorov [Opens in a new window]  and
Anton O. Obraz
Pavel V. Chuvakhov*
Affiliation:
Moscow Institute of Physics and Technology (MIPT), 9 Institutsky per., Dolgoprudny, Moscow reg., 141701, Russia Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovskogo Str., Zhukovsky, Moscow reg., 140180, Russia
Alexander V. Fedorov*
Affiliation:
Moscow Institute of Physics and Technology (MIPT), 9 Institutsky per., Dolgoprudny, Moscow reg., 141701, Russia
Anton O. Obraz*
Affiliation:
Moscow Institute of Physics and Technology (MIPT), 9 Institutsky per., Dolgoprudny, Moscow reg., 141701, Russia Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovskogo Str., Zhukovsky, Moscow reg., 140180, Russia
*
†Email addresses for correspondence: pavel.chuvakhov@tsagi.ru, pavel.chuvakhov@phystech.edu, fedorov@falt.ru, obraz89@gmail.com
†Email addresses for correspondence: pavel.chuvakhov@tsagi.ru, pavel.chuvakhov@phystech.edu, fedorov@falt.ru, obraz89@gmail.com
†Email addresses for correspondence: pavel.chuvakhov@tsagi.ru, pavel.chuvakhov@phystech.edu, fedorov@falt.ru, obraz89@gmail.com
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Abstract

Atmospheric particulates may be a major source of boundary-layer instabilities leading to laminar–turbulent transition on aerodynamically smooth bodies flying at supersonic speeds. Particulates penetrating into the boundary-layer flow can excite wavepackets of the first- and/or second-mode instability. The packets grow downstream, reach the threshold amplitude and ultimately break down to turbulent spots. A numerical model is developed to simulate excitation of unstable wavepackets by spherical solid particulates. As an example, computations are carried out for a $14^{\circ }$ half-angle sharp wedge flying at an altitude of 20 km, Mach number 4 and zero angle of attack. The numerical results agree satisfactorily with the theory developed by Fedorov (J. Fluid Mech., vol. 737, 2013, pp. 105–131). The numerical model opens up an opportunity to investigate receptivity to particulates for practical supersonic and hypersonic configurations such as blunt bodies of revolution.

JFM classification

Boundary Layers: Boundary layer receptivity Boundary Layers: Boundary layer stability Aerodynamics: High-speed flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 859 , 25 January 2019 , pp. 949 - 971
Copyright
© 2018 Cambridge University Press 

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Chuvakhov et al. supplementary movie

Extension of Fig.7: wall pressure disturbance evolution and isolines dp'w= 5e-7 for the reference case. The particulate collides with the wall at t ≈ 0.009.

Download Chuvakhov et al. supplementary movie(Video)
Video 5.7 MB