Vibratory Phenomena and Instability of Self-Sustained Detonations in Gases

Manson, N.; Brochet, C.; Brossard, J.; PUJOL, Y.

doi:10.1016/b978-1-4832-2759-7.50057-1

Cited by 60 publications

(15 citation statements)

References 5 publications

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“…Such detonations have been been predicted numerically [15] and observed experimentally in various settings by [22], [45], and [50]. Another instability, this one with 3-dimensional structure, is the "spinning detonation" long-known in lab experiments [5,6] and more recently captured numerically for the ZND model in both [4] and [28].…”

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confidence: 90%

One-Dimensional Stability of Viscous Strong Detonation Waves

Lyng

Zumbrun

2004

Arch. Rational Mech. Anal.

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Abstract. Building on Evans function techniques developed to study the stability of viscous shocks, we examine the stability of viscous strong detonation wave solutions of the reacting Navier-Stokes equations. The primary result, following [1,17], is the calculation of a stability index whose sign determines a necessary condition for spectral stability. We show that for an ideal gas this index can be evaluated in the ZND limit of vanishing dissipative effects. Moreover, when the heat of reaction is sufficiently small, we prove that strong detonations are spectrally stable provided the underlying shock is stable. Finally, for completeness, the stability index calculations for the nonreacting Navier-Stokes equations are included.

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confidence: 90%

One-Dimensional Stability of Viscous Strong Detonation Waves

Lyng

Zumbrun

2004

Arch. Rational Mech. Anal.

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“…This regime was characterized by high longitudinal (along the axis) pulsation and it was called a galloping one [7][8][9][10][11].…”

Section: A a Borissov (Ed) Dynamic Structure Of Detonation Inmentioning

confidence: 99%

The Limits of Stationary Propagation of Gaseous Detonation

Vasiliev

1991

Dynamic Structure of Detonation in Gaseous and Dispersed Media

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“…It was suggested that the velocity is linked to the wave stability. Manson et al (1963) [2] and Brochet (1966) [3] utilized streak Schlieren photography to study detonations in rough tubes using a spiral. Similar experiments were conducted in smooth tubes for comparison.…”

Section: Literature Reviewmentioning

confidence: 99%

“…However, there have been studies which observed the detonation propagation and structure in rough walled tubes. [1][2][3][4][5] There have also been numerous studies on the effect of obstacles on combustion processes such as flame propagation or detonation to deflagration transition (DDT). [6][7][8][9] While these do explore the propagation regimes of such phenomena using orifice plates, they do not directly relate to the present study where the limits of a self-propagating detonation in a "rough" tube are investigated.…”

Section: General Overviewmentioning

confidence: 99%