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Combustion Science and Technology Volume 3, 1971 - Issue 2
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Original Articles

Mechanism of Instabilities of Exothermic Hypersonic Blunt-Body Flows

J. B. McVEY Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts
&
T. Y. TOONG Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts
Pages 63-76 | Received 25 Jan 1971, Published online: 10 May 2007

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L.K. Cole, A.R. Karagozian & J.-L. Cambier. (2012) Stability of Flame-Shock Coupling in Detonation Waves: 1D Dynamics. Combustion Science and Technology 184:10-11, pages 1502-1525.
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Shaye Yungster & Krishnan Radhakrishnan. (2004) Pulsating one-dimensional detonations in hydrogen–air mixtures. Combustion Theory and Modelling 8:4, pages 745-770.
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Longting HE. (2000) Theory of Weakly Unstable Multi-Dimensional Detonation. Combustion Science and Technology 160:1, pages 65-101.
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Yaroslava E. Poroshyna, Aleksander I. Lopato & Pavel S. Utkin. (2021) Nonlinear dynamics of pulsating detonation wave with two-stage chemical kinetics in the shock-attached frame. Journal of Inverse and Ill-posed Problems 29:4, pages 557-576.
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W. J. Ma, C. Wang & W. H. Han. (2020) Effect of concentration inhomogeneity on the pulsating instability of hydrogen–oxygen detonations. Shock Waves 30:7-8, pages 703-711.
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Yu Liu, Lan Wang, Baoguo Xiao, Zhihui Yan & Chao Wang. (2018) Hysteresis phenomenon of the oblique detonation wave. Combustion and Flame 192, pages 170-179.
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Haibo Dong, Fan Zhang, Chunguang Xu & Jun Liu. (2018) An improved uncoupled finite volume solver for simulating unsteady shock-induced combustion. Computers & Fluids 167, pages 146-157.
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Pengfei Yang, Hoi Dick Ng, Honghui Teng & Zonglin Jiang. (2017) Initiation structure of oblique detonation waves behind conical shocks. Physics of Fluids 29:8.
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XiaoCheng Mi, Evgeny V. Timofeev & Andrew J. Higgins. (2017) Effect of spatial discretization of energy on detonation wave propagation. Journal of Fluid Mechanics 817, pages 306-338.
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Wenhu Han, Wenjun Kong, Yang Gao & Chung K. Law. (2017) The role of global curvature on the structure and propagation of weakly unstable cylindrical detonations. Journal of Fluid Mechanics 813, pages 458-481.
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Shinichi MAEDA, Isshu YOSHIKI, Shoichiro KANNO, Keita TOMITA & Tetsuro OBARA. (2017) Occurrence conditions for unsteady combustions in shock-induced combustions around spherical projectiles. Transactions of the JSME (in Japanese) 83:852, pages 17-00019-17-00019.
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Wenhu Han, Yang Gao, Cheng Wang & Chung K. Law. (2015) Coupled pulsating and cellular structure in the propagation of globally planar detonations in free space. Physics of Fluids 27:10.
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Kazushige Maeda & Akiko Matsuo. (2015) Numerical Investigation of Shock-Induced Combustion with Unsteady Oscillation around Hypervelocity Conical Projectile. Numerical Investigation of Shock-Induced Combustion with Unsteady Oscillation around Hypervelocity Conical Projectile.
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Erik Axdahl, Ajay Kumar & Alan Wilhite. (2011) Study of Unsteady, Sphere-Driven, Shock-Induced Combustion for Application to Hypervelocity Airbreathing Propulsion. Study of Unsteady, Sphere-Driven, Shock-Induced Combustion for Application to Hypervelocity Airbreathing Propulsion.
Benjamin Texier & Kevin Zumbrun. (2011) Transition to Longitudinal Instability of Detonation Waves is Generically Associated with Hopf Bifurcation to Time-Periodic Galloping Solutions. Communications in Mathematical Physics 302:1, pages 1-51.
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Jimmy Verreault & Andrew J. Higgins. (2011) Initiation of detonation by conical projectiles. Proceedings of the Combustion Institute 33:2, pages 2311-2318.
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Kevin Zumbrun. (2010) The refined inviscid stability condition and cellular instability of viscous shock waves. Physica D: Nonlinear Phenomena 239:13, pages 1180-1187.
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Benjamin Texier & Kevin Zumbrun. (2008) Galloping instability of viscous shock waves. Physica D: Nonlinear Phenomena 237:10-12, pages 1553-1601.
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Yu Daimon & Akiko Matsuo. (2007) Unsteady features on one-dimensional hydrogen-air detonations. Physics of Fluids 19:11.
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Li Yuan & Tao Tang. (2007) Resolving the shock-induced combustion by an adaptive mesh redistribution method. Journal of Computational Physics 224:2, pages 587-600.
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D. Scott Stewart & Aslan R. Kasimov. (2006) State of Detonation Stability Theory and Its Application to Propulsion. Journal of Propulsion and Power 22:6, pages 1230-1244.
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Gregory Lyng & Kevin Zumbrun. (2004) A stability index for detonation waves in Majda’s model for reacting flow. Physica D: Nonlinear Phenomena 194:1-2, pages 1-29.
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Yu Daimon & Akiko Matsuo. (2004) Longitudinal Oscillation Mode of One-Dimensional H2-Air Detonations. Longitudinal Oscillation Mode of One-Dimensional H2-Air Detonations.
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Mark Short, Ashwani K. Kapila & J. J. Quirk. (1999) The chemical-gas dynamic mechanisms of pulsating detonation wave instability. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 357:1764, pages 3621-3637.
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