Dynamic characteristics of spherically converging detonation waves


  1. Jiang, Z.
  2. Chang, L.
  3. Zhang, F.
Corporate Authors
Defence R&D Canada - Suffield, Ralston ALTA (CAN)
The spherically converging detonation wave was numerically investigated by solving the one-dimensional multi-component Euler equations in spherical coordinates with a dispersion-controlled dissipative scheme. Finite rate and detailed chemical reaction models were used and numerical solutions were obtained for both a spherical by converging detonation in a stoichiometric hydrogen-oxygen mixture and a spherically focusing shock in air. The results showed that the post-shock pressure approximately arises to the same amplitude in vicinity of the focal point for the two cases, but the post-shock temperature level mainly depends on chemical reactions and molecular dissociations of a gas mixture. While the chemical reaction heat plays an important role in the early stage of detonation wave propagation, gas dissociations dramatically affect the post-shock flow states near the focal point. The maximum pressure and temperature, non-dimensionalized by their initial value, are approximately scaled to the propagation radius over the initial detonation diameter. The post-shock pressure is proportional to the initial pressure of the detonable mixture, and the post-shock temperature is also increased with the initial pressure, but in a much lower rate than that of the post-shock pressure.
Report Number
DRDC-SUFFIELD-SL-2007-060 — Scientific Literature
Date of publication
06 Jan 2007
Number of Pages
Reprinted from
Shock Waves, vol 16, 2007, p 257-267
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