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Stability of shock waves with finite relaxation region

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Abstract

A theoretical investigation is made into the amplification of sound in a moving nonequilibrium medium and it is shown that an instability can arise in a sufficiently strong shock wave accompanied by an exothermic process with finite relaxation region, the instability being due to the spontaneous growth of fluctuations resulting from amplification of acoustic waves in the region of exothermic relaxation and their “trapping” in a narrow layer near the shock wave.

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 176–179, September–October, 1982.

I thank S. V. Iordanskii for posing the problem and great interest in the work.

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Korshunov, S.E. Stability of shock waves with finite relaxation region. Fluid Dyn 17, 802–806 (1982). https://doi.org/10.1007/BF01090171

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  • DOI: https://doi.org/10.1007/BF01090171

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