Density and Temperature Fluctuations behind a Shock Wave under the Influence of a Stratified Energy Source
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y and Temperature Fluctuations behind a Shock Wave under the Influence of a Stratified Energy Source O. A. Azarovaa, O. V. Kravchenkoa, T. A. Lapushkinab*, and A. V. Erofeevb a
Dorodnicyn Computing Center, Federal Research Center “Informatics and Management,” Russian Academy of Sciences, Moscow, 119333 Russia b Ioffe Institute, Russian Academy of Sciences, St. Petersburg, 194021 Russia *e-mail: [email protected] Received March 27, 2020; revised April 2, 2020; accepted April 2, 2020
Abstract—For the conditions obtained in experiments on the interaction between a shock wave and the ionization-unstable plasma, the influence of a thermally stratified energy source on the front of a shock wave is numerically modeled on the basis of the full system of Navier–Stokes equations. It is shown that the front curvature detected in schlieren images is associated with a higher temperature of central layers in the source, while its disappearance is due to the multiple generation of Richtmyer–Meshkov instabilities in the gas density field. It is demonstrated that the redistribution of source energy into layers leads to the formation of local areas with a gas temperature increased by several times (in comparison with the values for a homogeneous source) behind a shock wave. Keywords: ionization instability, shock waves, stratified energy source, Navier–Stokes equations. DOI: 10.1134/S1063785020070032
There currently exist many works devoted to studying the possibility of control over supersonic/hypersonic flows by means of remote energy release [1–3]. The effect of the attenuation of a reflected shock wave at the expense of interaction with the modified boundary layer plasma created by parallel narrow extended discharge areas was obtained in the experiments [4]. In [5], it is shown that a reason of drag reduction under combined influence is the change in flow parameters due to the additional formation of unsteady vortex structures associated with the appearance of the Richtmyer–Meshkov instabilities. The possibility of producing a plasma effect on a supersonic flow past a body with the use of a short-pulse gas discharge, which increases the temperature of electrons and, at the same time, retains the gas temperature unchanged, is proven in [6]. Based on the nonequilibrium model of a double laser pulse, it has been established [7] that the drag force of the surface of a body decreases with an increase in the degree of ionization. The possibility of influencing a shock wave with the use of a homogeneous gas-discharge medium was experimentally studied in [8]. It has been numerically demonstrated that the passage of a shock wave through the discharge area is accompanied by the formation of an additional contact discontinuity. In the paper [9], it has been shown that the influence of the ionization–unstable plasma results in an unstable character of shock fronts
with their deformation and smearing up to complete disappearance in schlieren images. In this paper, experimental results regarding the formation of the ionization-unstable
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