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Pulsating stochastic flows accompanying microwave filament/supersonic shock layer interaction

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Abstract

The details of pulsating stochastic flows accompanying the interaction of a microwave filament (regarded as a heated rarefied channel) and an aerodynamic body in supersonic flow are examined numerically using the Euler equations. Symmetrical and asymmetrical filament locations relative to the aerodynamic body are considered. The flowfields are characterized by large scale pulsations and small scale stochastic fluctuations. The mechanisms of the formation of these flow structures are discussed. Two qualitatively different kinds of flowfields are observed depending on the magnitude of the filament radius, with domination of the pulsations of flow parameters or stochastic phenomena. Flow instabilities inherent to the problems under interest are described. The problems are considered in both plane and cylindrical configurations for a wide class of filament characteristics and freestream Mach numbers equal to 1.89 and 3.

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Abbreviations

M :

Mach number of oncoming flow

γ :

Ratio of specific heats, γ=1.4

p 0, ρ 0, u 0, v 0 :

Free stream values of pressure, density and longitudinal and normal velocity components

F :

Front surface drag force

D, d:

Diameter of aerodynamic body and filament diameter

α ρ :

Degree of gas rarefaction in the filament

Δl :

Filament length

y :

Distance between the axis and the lower filament boundary

p s ρ s :

Pressure and density in the stagnation point

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Authors and Affiliations

  1. Department of Mathematical Modeling of CAD Systems, Subdepartment of Mathematical Modeling of Technical Systems, Dorodnicyn Computing Centre of RAS, Vavilova str. 40, 119333, Moscow, Russia

    O. Azarova

  2. Department of Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, Piscataway, NJ, 08854, US

    D. Knight

  3. Department of MHD and Low Temperature Plasma, Joint Institute for High Temperatures RAS, Izhorskaya 13, Build. 2, 125412, Moscow, Russia

    Y. Kolesnichenko

Authors
  1. O. Azarova
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  2. D. Knight
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  3. Y. Kolesnichenko
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Correspondence to D. Knight.

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Communicated by F. Seiler.

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Azarova, O., Knight, D. & Kolesnichenko, Y. Pulsating stochastic flows accompanying microwave filament/supersonic shock layer interaction. Shock Waves 21, 439–450 (2011). https://doi.org/10.1007/s00193-011-0319-x

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  • DOI: https://doi.org/10.1007/s00193-011-0319-x

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