Comptes Rendus
no. 11
Stability of a hypersonic shock layer on a flat plate
[Stabilité d'une couche de choc hypersonique sur une plaque plane.]

Présenté par : Évariste Sanchez-Palencia

Anatoly A. Maslov1  ; Tatiana V. Poplavskaya1 ; Boris V. Smorodsky1
1 Institute of Theoretical and Applied Mechanic SB RAS, Institutskaya str. 4/1, 630090 Novosibirsk, Russia
Comptes Rendus. Mécanique, Volume 332 (2004) no. 11, pp. 875-880.

On examine la stabilité d'une couche de choc hypersonique sur une plaque plane en tenant compte des perturbations de l'onde de choc dans le cadre de la théorie de la stabilité linéaire. Les caractéristiques du flux principal sont calculées à l'aide du modèle complet de la couche de choc visqueuse. Des conditions sur les perturbations de la vitesse, de la pression et de la température sont dérivées de la relation stationnaire de Rankine–Hugoniot sur les ondes de choc. Ces conditions sont utilisées comme conditions aux limites sur l'onde de choc pour les équations de stabilité linéaire. Les vitesses de croissance des perturbations et des fluctuations de densité sont comparées avec des données expérimentales obtenues à l'ITAM par la méthode de fluorescence par faisceau d'électrons a et avec les résultats théoriques d'autres auteurs.

Stability of a hypersonic shock layer on a flat plate is examined with allowance for disturbances conditions on the shock wave within the framework of the linear stability theory. The characteristics of the main flow are calculated on the basis of the Full Viscous Shock Layer model. Conditions for velocity, pressure, and temperature perturbations are derived from steady Rankine–Hugoniot relation on the shock wave. These conditions are used as boundary conditions on the shock wave for linear stability equations. The growth rates of disturbances and density fluctuations are compared with experimental data obtained at ITAM by the method of electron-beam fluorescence and with theoretical data of other authors.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2004.07.002
Keywords: Computational fluid mechanics, Hypersonic flow, Boundary layer, Shock layer, Stability, Simulation
Mot clés : Mécanique des fluides numérique, Flux hypersonique, Couche limite, Couche de choc, Stabilité, Simulations
Anatoly A. Maslov 1 ; Tatiana V. Poplavskaya 1 ; Boris V. Smorodsky 1

1 Institute of Theoretical and Applied Mechanic SB RAS, Institutskaya str. 4/1, 630090 Novosibirsk, Russia 
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Anatoly A. Maslov; Tatiana V. Poplavskaya; Boris V. Smorodsky. Stability of a hypersonic shock layer on a flat plate. Comptes Rendus. Mécanique, Volume 332 (2004) no. 11, pp. 875-880. doi : 10.1016/j.crme.2004.07.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.07.002/

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