The structure of marginal detonation waves

Strehlow, Roger A.; Crooker, Andrew Jackson

doi:10.1016/0094-5765(74)90100-3

Cited by 76 publications

(45 citation statements)

References 9 publications

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“…First, the detonation front is strengthened near the cell apex and reaches its maximum intensity at about 0.1l, and then decays till the end of the cell. The decaying process calculated by our new model is in good agreement with the experiments (Strehlow and Crook 1974;Hanana et al 2000). However, the reported second pressure jump at 0.7l, which is consequence of collision of two transverse waves, can not be predicted by our model.…”

Section: Dynamic Process In a Cellsupporting

confidence: 77%

“…Lundstrom and Oppenheim (1969), Strehlow (1970Strehlow ( , 1971, Strehlow et al (1972), Strehlow and Crook (1974) and Urtiew (1976) analyzed two-dimensional cellular detonation waves and found that the detonation velocity and pressure reach their maximum values just after the tripleshock collision, and then decay continuously until their minimum values are reached at the end of the detonation cell. However, the pressure fluctuations along the cell centerline, obtained in the experiments of VMT (Voitsekhovsky et al 1963), suggested that detonation states close to the collision point could not be resolved because the area is too small to put in a probe.…”

Section: Introductionmentioning

confidence: 99%

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Analytical study of idealized two-dimensional cellular detonations

Zhang

Jiang

2002

Shock Waves

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Abstract. In this study, the idealized two-dimensional detonation cells were decomposed into the primary units referred to as sub-cells. Based on the theory of oblique shock waves, an analytical formula was derived to describe the relation between the Mach number ratio through triple-shock collision and the geometric properties of the cell. By applying a modified blast wave theory, an analytical model was developed to predict the propagation of detonation waves along the cell. The calculated results show that detonation wave is, first, strengthened at the beginning of the cell after triple-shock collision, and then decays till reaching the cell end. The analytical results were compared with experimental data and previous numerical results; the agreement between them appears to be good, in general.

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Section: Dynamic Process In a Cellsupporting

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Analytical study of idealized two-dimensional cellular detonations

Zhang

Jiang

2002

Shock Waves

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“…This result is the same as that of Bourlioux and Majda (1992) and very close to the grid resolution that have been used by Sharpe (2001) and Sharpe and Quirk (2008). Before going to the next section, it is important to point out that both experimental observations (Strehlow and Crooker, 1974) and numerical simulations (Gamezo et al, 1999). indicate that the leading shock velocity varies inside a detonation cell.…”

Section: Grid Resolution Studysupporting

confidence: 54%

Numerical Simulation of Cellular Structure of Weak Detonation and Evaluation of Linear Stability Analysis Predictions

Barkhordari

Farshchi

2013

Engineering Applications of Computational Fluid Mechanics

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This paper investigates the development of cellular structures created by the propagation of a detonation wave in a gaseous mixture. Two dimensional reactive Euler equations with an idealized one-step Arrhenius type reaction model are solved using the PPM scheme coupled with the exact Riemann solver. The numerical flow solver simulates the evolution process of regular cellular structures of a weakly unstable detonation wave. The cellular structures are generated by two-dimensional sinusoidal perturbations imposed on a ZND detonation wave. The initial sinusoidal perturbation wavelengths are predicted from linear stability analysis. The objective of these calculations is to examine the validity of the linear stability analysis predictions on the final cell sizes of a weakly unstable detonation. We found that for a given mixture, there is not just a single detonation cell size related to the wavelength with maximum growth rate. Instead, depending on the initial perturbation wavelength, the cellular dynamics reaches a final equilibrium state with the corresponding final cell size that belongs to a specific band of unstable wavelengths predicted by the linear stability analysis. Indeed, it is not the magnitude of the perturbation growth rate, but the magnitude of its rate of change with respect to the wavelength that predicts the domain of this specific band and corresponding final cell sizes.

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“…(Gross and Chinitz, 1960), (Nicholls, 1963), (Rubins and Rhodes, 1963), (Behrens, et al, 1965), (Strehlow, 1968), (Strehlow and Crooker, 1974), (Lehr, 1972), and (Liu, et al, 1986). Of potential relevance, especially in light of Dunlap et al's concern, are dramatic observations of one-and three-dimensional detonation instabilities.…”

Section: Reviewmentioning

confidence: 99%

“…Figure 3: Sketch of observed combustion instability in projectile firing experiment, adopted from photographs of Lehr, 1972. Figure 4: Sketch of observed patterns on smoke-coated foils after passage of an unstable detonation wave, adopted from photographs of Strehlow and Crooker, 1974.…”

Section: Reviewmentioning

confidence: 99%

Oblique Detonations: Theory and Propulsion Applications

Powers

1994

ICASE/LaRC Interdisciplinary Series in Science and Engineering

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The oblique detonation, a combustion process initiated by an oblique shock, arises in most supersonic combustion applications including, most notably, the ram accelerator and the oblique detonation wave engine. Additionally, it is the generic two-dimensional compressible shocked reacting flow; consequently, its basic research value is inherent. The outstanding theoretical questions are also the fundamental practical questions: e.g. what conditions are necessary for steady solutions, what is the dependency of the steady propagation speed on the ambient condition, what is the susceptibility of the system to instability, and what is the behavior of the system in unsteady operation. A related topic which transcends all questions is the ability to describe these phenomena computationally. At this early stage, these issues are most clearly addressed with simple models. This paper will review the application of such models to oblique detonations and discuss their future relevance.

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The structure of marginal detonation waves

Cited by 76 publications

References 9 publications

Analytical study of idealized two-dimensional cellular detonations

Analytical study of idealized two-dimensional cellular detonations

Numerical Simulation of Cellular Structure of Weak Detonation and Evaluation of Linear Stability Analysis Predictions

Oblique Detonations: Theory and Propulsion Applications

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