n Journal of Emerging Trends in Engineering and Applied Sciences - Phase-plane analysis application to Guderley's problem

Volume 4, Issue 3
  • ISSN : 2141-7016
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The self-similar converging-diverging shock wave problem of Guderley in 1942 has been the major source of considerable mathematical and physical interest. We investigate an application of the Guderley's solution with reference to phase-plane analysis and a code has been developed for the verification test problem for compressible flow. In this an effort has been made in understanding the problem's mathematical and computational approach. The simplifications and group invariance properties reduce the compressible flow equations (for a medium whose equation of state (EOS) is of Mie-Gruneisen type), to two coupled s nonlinear equation whose solution is an eigenvalue problem. The information we provide, together with previously published material, gives a complete description to construct a semi-analytic Guderley solution.

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