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Plane nonstationary self-similar gas flow with energy liberation in shock waves

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Abstract

Two plane nonstationary, self-similar problems occurring with energy supply in shock waves are examined in a linear formulation; the pressure distributions in the perturbed flow domains are obtained. Results and methods used extensively in the theory of diffraction of shock waves [1–3] are employed in this paper.

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Literature cited

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    M. J. Lighthill, “The diffraction of blast. I,” Proc. Roy. Soc.,A198, No. 1055 (1949).

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    S. M. Ter-Minasyants, “Plane wave diffraction by a wedge moving at supersonic speed,” Prikl. Mat. Mekh.,35, No. 2 (1971).

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    J. L. Smyrl, “The impact of a shock-wave on a thin two-dimensional aerofoil moving at supersonic speed,” J. Fluid Mech.,15, Pt. 2 (1963).

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    G. M. Bam-Zelikovich, “Decay of an arbitrary discontinuity in a hot mixture,” in: Theoretical Hydromechanics [in Russian], Oborongiz, Moscow (1949).

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    G. G. Chernyi, “Self-similar problems of the flow around bodies by a hot mixture of gases,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6 (1966).

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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 164–167, July–August, 1978.

In conclusion, the author is grateful to M. N. Kogan for supervising the research, and also to A. I. Golubinskii and V. P. Kolgan for useful comments and valuable discussion.

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Butkovskii, A.V. Plane nonstationary self-similar gas flow with energy liberation in shock waves. Fluid Dyn 13, 625–629 (1978). https://doi.org/10.1007/BF01055120

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Keywords

  • Shock Wave
  • Pressure Distribution
  • Energy Liberation
  • Linear Formulation
  • Energy Supply