Relationship Between Perturbation Size and Structure of the Vortex Pair for Converging Cylindrical Shocks

  • R. A. Neemeh
  • B. Tashtoush
  • G. H. Vatistas
Conference paper

Abstract

Converging cylindrical shock front shapes, bearing small and large perturbations, were examined via spark Schlieren photography taken near the geometric center. The perturbation parameter was found to increase with shock travel, according to r n but with fluctuations that are found to be linearly proportional to its initial value. Based on the hypothesis that the distance between the vortex pairs is proportional to the radius where breakdown in shock front curvatures takes place, a relationship was obtained between the distance separating the two vortex pairs and the initial value of the perturbation. This relationship was found to be in excellent agreement with those experimentally measured. Both theory and experiments were also found to approach a constant value as the perturbation on the shock front increases beyond a certain limit.

Key Words

Converging cylindrical shocks Stability of converging shocks Vortex growth 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • R. A. Neemeh
    • 1
  • B. Tashtoush
    • 1
  • G. H. Vatistas
    • 1
  1. 1.Concordia UniversityMontrealCanada

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