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A self-similar piston problem

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Summary

Self-similar solutions for the flow between a piston and the strong shock propagating non-uniformly into an ideal gas at rest obeying the power law density distribution are investigated. The conditions for the existency of the solutions are derived. Numerical solutions are obtained.

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References

  1. L. I. Sedov, On some unsteady motions of a compressible fluid,PMM, 9, 4 (1945) 293–311.

    Google Scholar 

  2. G. I. Taylor, The air wave surrounding on expanding sphere,Proc. Roy. Soc. London, A 186, 273, 1946.

    Google Scholar 

  3. N. L. Krasheninikova, On the unsteady motion of a gas displaced by a piston,Bull. Acad. Sci. U.R.S.S.,OTN 8, 1955.

  4. L. Lees and T. Kubota, Inviscid Hypersonic flow over Blunt-nosed slender bodies,J. Aero, Sci., 24, 195, 1957.

    Google Scholar 

  5. S. S. Grigorin, Cauchy's problem and the problem of a piston for one-dimensional, non-steady motions of gas(automodel motion),PMM, 22, 2 (1958) 179–187.

    Google Scholar 

  6. J. B. Helliwell, Self-similar piston problem with radiative heat transfer,J. Fluid Mech., 37, 3 (1969) 497–512.

    Google Scholar 

  7. E. N. Parker,Interplanetary dynamical processes, Interscience Publication, 1963.

  8. L. I. Sedov,Similarity and Dimensional Methods in Mechanics, Chapter IV, Academic Press, New York, 1959.

    Google Scholar 

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Rangarao, M.P., Purohit, S.C. A self-similar piston problem. J Eng Math 5, 257–261 (1971). https://doi.org/10.1007/BF01548243

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  • DOI: https://doi.org/10.1007/BF01548243

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