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Converging spherical and cylindrical shock waves

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Abstract

The self-similar solutions for converging spherical and cylindrical strong shock waves in a non-ideal gas satisfying the equation of state of the Mie-Gruneisen type are investigated. The equations governing the flow, which are highly non-linear hyperbolic partial differential equations, are first reduced to a Poincaré-type ordinary differential equation with suitable approximation. Such an approximation helps in obtaining the self-similar solutions and the similarity exponent numerically by phase-plane analysis.

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Authors and Affiliations

  1. R and D Division, TISCO, 8831007, Jamshedpur, India

    A. Ramu

  2. Dept. of Mathematics, Indian Institute of Technology, Powai, 400076, Bombay, India

    M. P. Ranga Rao

Authors
  1. A. Ramu
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  2. M. P. Ranga Rao
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Ramu, A., Ranga Rao, M.P. Converging spherical and cylindrical shock waves. J Eng Math 27, 411–417 (1993). https://doi.org/10.1007/BF00128763

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  • DOI: https://doi.org/10.1007/BF00128763

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