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Steady One-Dimensional Detonations

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Shock Waves Science and Technology Library, Vol. 6

Part of the book series: Shock Wave Science and Technology Reference Library ((SHOCKWAVES,volume 6))

Abstract

While treatments of detonation wave propagation using control volume analysis, such as the Chapman–Jouguet (CJ) detonation solution presented in the prior chapter, are very successful in predicting the steady-state, equilibrium properties of detonations, they provide no information about the limits of detonation propagation or the dynamics of detonation waves. Addressing these issues necessitates investigating the structure of the detonation front. To illustrate this point, consider an extremely dilute concentration of fuel in air (e.g., 0.1% of methane in air by volume). If this mixture is entered into a thermochemical equilibrium code, a unique equilibrium CJ detonation solution will be generated. In practice, however, such a dilute mixture is highly unlikely to be able to support detonation wave propagation, since the low post-shock temperatures from the weak leading shock front would result in very slow reaction rates or no perceptible reaction at all.

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Notes

  1. 1.

    Formally, a Hugoniot is a locus of possible equilibrium end states for a steady wave, so a “partially reacted Hugoniot” is a misnomer.

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Acknowledgements

This chapter was developed out of discussions with Jimmy Verreault, Oren Petel, François-Xavier Jetté, Patrick Batchelor, and David Mack. Vincent Tanguay contributed to the analysis of the inclusion of the work done by friction in detonations and the Taylor wave analysis in the appendix. Jean-Philippe Dionne’s doctoral dissertation provided a template for much of this chapter. Jenny Chao and Matei Radulescu are thanked for sharing their experimental data. Fan Zhang and Craig Tarver provided helpful and insightful commentary.

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Higgins, A. (2012). Steady One-Dimensional Detonations. In: Zhang, F. (eds) Shock Waves Science and Technology Library, Vol. 6. Shock Wave Science and Technology Reference Library, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22967-1_2

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