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Anatomy of a diffracting detonation in a circular arc of explosive

  • John B. Bdzil (a1)

Abstract

Using high-resolution numerical simulation, Short et al. (J. Fluid Mech. vol. 835, 2018, pp. 970–998) study diffraction of a detonation as it traverses a $270^{\circ }$ finite-thickness condensed-phase explosive arc. This geometry admits a steady solution in a frame rotating with angular speed $\unicode[STIX]{x1D714}_{0}$ , which thereby facilitates a detailed analysis of how the loss of energy from the detonation reaction zone due to the diffraction process slows the propagation of the detonation. There exists a region of subsonic flow, between the detonation shock and the curve of sonic flow (labelled the DDZ), which is responsible for setting $\unicode[STIX]{x1D714}_{0}$ . Although the DDZ spans the entire thickness for thin arcs, it is localized to a region near the inside surface as the arc is thickened. Thus the explosive energy release near this inside surface plays a disproportionate role in the diffraction process.

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Copyright

Corresponding author

Email address for correspondence: jbbdzil@gmail.com

References

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Kapila, A. K., Schwendaman, D. W., Bdzil, J. B. & Henshaw, W. D. 2007 A study of detonation diffraction in the ignition-and-growth model. Combust. Theor. Model. 11 (5), 781822.
Nakayama, H., Moriya, T., Kasahara, J., Matsuo, A., Sasamoto, Y. & Funaki, I. 2012 Stable detonation wave propagation in rectangular-cross-section curved channels. Combust. Flame 159, 859869.
Short, M., Quirk, J. J., Chiquete, C. & Meyer, C. D. 2018 Detonation propagation in a circular arc: reactive burn modelling. J. Fluid Mech. 835, 970998.
Short, M., Quirk, J. J., Meyer, C. D. & Chiquete, C. 2016 Steady detonation propagation in a circular arc: a detonation shock dynamics model. J. Fluid Mech. 807, 87134.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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