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Shock/shock interferences in a supersonic rarefied flow: experimental investigation

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Abstract

The interaction of two spheres immersed in a Mach 4 flow is experimentally studied at a static pressure of 2.666 Pa, representing 80 km in altitude. This work was carried out in the hypersonic and rarefied facility MARHy, and aims to investigate the rarefaction effects on the fragmentation of space debris, and their becoming during atmospheric re-entry. Indeed, after fragmentation, the new debris will, in turn, interact with each other, which can lead to a change in their trajectory. The purpose is to investigate some interactions that can occur during high altitude phase of the atmospheric re-entry. This paper is focused on the analysis of shock/shock interference between two similar spheres interacting in a rarefied supersonic flow, where the second sphere is displaced in the wake of a first sphere, considered as the parent debris. The flow field was examined using the glow discharge technique. An adapted image processing was applied to the detailed analysis of shock wave interactions. Edney-type interactions were identified and discussed as rarefied experimental conditions introduce viscous effects. Compared to continuum regime, the thickness of the shock wave shapes modifies the shock wave interactions.

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Abbreviations

\(\lambda\) :

Mean free path (m)

\(\mu\) :

Dynamic viscosity (Pa s)

\(\rho\) :

Density (kg m\(^{-3}\))

\(\varsigma\) :

Similarity number

D :

Sphere diameter (m)

Kn:

Knudsen number

Ma:

Mach number

p :

Pressure (Pa)

Re:

Reynolds number

\(R_m\) :

Specific gas constant = 287.058 m\(^2\) s\(^{-2}\) K\(^{-1}\)

T :

Temperature (K)

U :

Flow speed (m s\(^{-1}\))

\(\infty\) :

Free-stream conditions

0:

Stagnation conditions

1:

First sphere (fixed)

2:

Second sphere (moving)

i:

Interaction point

l:

Local conditions

ml:

Most luminous point

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Acknowledgements

This work is part of a PhD fully financed by the Agence Nationale de la Recherche for the Project IPROF (IPROF: ANR-19-CE39-0003-01).

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Correspondence to Vincente Cardona.

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The authors declare that they have no conflict of interest.

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Cardona, V., Joussot, R. & Lago, V. Shock/shock interferences in a supersonic rarefied flow: experimental investigation. Exp Fluids 62, 135 (2021). https://doi.org/10.1007/s00348-021-03225-4

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  • DOI: https://doi.org/10.1007/s00348-021-03225-4

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