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Numerical study of three-dimensional detonation structure transformations in a narrow square tube: from rectangular and diagonal modes into spinning modes

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A Publisher's Erratum to this article was published on 30 October 2014

Abstract

Three-dimensional (3-D) detonation structure transformations from rectangular and diagonal modes into spinning modes in a narrow square tube are investigated by high-resolution simulation. Numerical simulations are performed with a Riemann solver of the HLLC-type, new cell-based structured adaptive mesh refinement data structure, high-order, parallel adaptive mesh refinement reactive flow code. A simplified one-step kinetic reaction model is used to reveal the 3-D detonation structure. The four different types of initial disturbances applied in the ZND profiles lead to the structures of rectangular in phase, rectangular out of phase, rectangular partial out of phase and diagonal, respectively, during the initial stages of detonation propagation. Eventually, all these detonation structures evolve into the self-sustained spinning detonations. The asymmetric disturbance leads to a stable spinning detonation much faster than the rest. The important features in the formation of spinning detonation are revealed using a 3-D visualization, and a remarkable qualitative agreement with experimental and numerical results is obtained with respect to the transverse wave dynamics and detonation front structures. The transverse wave collisions produce the unburnt gas pockets and the energy to sustain the detonation front propagation and distortion. The periodic pressure oscillation of front plays a complex role as it shifts the reaction zone structure with an accompanying change in the driving energy of transition and the detonation parameters which result in the more distorted front and the unstable detonation. Eventually, the unstable distorted detonation evolves into a spinning detonation.

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Acknowledgments

This research was carried out in collaboration with Waterloo CFD Engineering Consulting Inc. The computations conducted in this study were made possible by the facilities of the Shared Hierarchical Academic Research Computing Network (SHARCNET). This research was also supported by National Natural Science Foundation of China (50776045) and Graduate Research and Innovation Fund of Jiangsu Province (CX09B_078Z). The first author would like to thank Dr. K. J. Hsieh, Dr. Meishen Li and Jim Kuo in University of Waterloo for their supports when the author visited their group.

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Authors and Affiliations

  1. Department of Aeronautics, Xiamen University, Xiamen, Fujian , 361005, China

    Y. Huang

  2. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu , 210016, China

    Y. Huang & H. Tang

  3. Waterloo CFD Engineering Consulting Inc., Waterloo, ON, N2T 2N7, Canada

    H. Ji

  4. Department of Mechanical Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Y. Huang & F. Lien

Authors
  1. Y. Huang
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  2. H. Ji
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  3. F. Lien
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  4. H. Tang
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Correspondence to Y. Huang.

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Communicated by E. V. Timofeev.

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Huang, Y., Ji, H., Lien, F. et al. Numerical study of three-dimensional detonation structure transformations in a narrow square tube: from rectangular and diagonal modes into spinning modes. Shock Waves 24, 375–392 (2014). https://doi.org/10.1007/s00193-014-0499-2

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  • DOI: https://doi.org/10.1007/s00193-014-0499-2

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