Effect of the charge diameter on the velocity of detonation waves in gas mixtures

Manson, N.; Guenoche, H.

doi:10.1016/s0082-0784(57)80087-3

Cited by 14 publications

(5 citation statements)

References 7 publications

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“…Extensive studies of the limit problem have been carried out in the past. Manson and Guénoche [2] studied explosive mixtures of acetylene-oxygen and propane-oxygen at different compositions, and found that for a given composition, the detonation velocity decreases linearly with the tube diameter as the limit is approached. They proposed that the velocity deficit and limit are results of a quenched layer of mixture in the vicinity of the tube wall due to heat losses.…”

Section: Introductionmentioning

confidence: 99%

Propagation of near-limit gaseous detonations in small diameter tubes

Camargo

Chao

et al. 2010

Shock Waves

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In this study, detonation limits in very small diameter tubes are investigated to further the understanding of the near-limit detonation phenomenon. Three small diameter circular tubes of 1.8 mm, 6.3 mm, and 9.5 mm inner diameters, of 3m length, were used to permit the near-limit detonations to be observed over long distances of 300 to 1500 tube diameters. Mixtures with high argon dilution (stable) and without dilution (unstable) are used for the experiments. For stable mixtures highly diluted with argon for which instabilities are not important and where failure is due to losses only, the limit obtained experimentally is in good agreement in comparison to that computed by the quasi-steady ZND theory with flow divergence or curvature term modeling the boundary layer effects. For unstable detonations suppression of the instabilities of the cellular detonation due to boundary conditions is responsible for the failure of the detonation wave. Different near-limit propagation regimes are also observed, including the spinning and galloping mode. Based on the present experimental results, an attempt is made to study an operational criterion for the propagation limits of stable and unstable detonations.

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Section: Introductionmentioning

confidence: 99%

Propagation of near-limit gaseous detonations in small diameter tubes

Camargo

Chao

et al. 2010

Shock Waves

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“…In this case, the competition between the chemical heat release and the energy loss leads to a deficit of the energy supporting the propagation of the shock front. Lee (2008) provides a review of the effects of boundary layer on gaseous detonation waves (see also Zel'dovich 1940;Manson & Guénoche 1957;Fay 1959;Zel'dovich & Kompaneets 1960). Further studies (Zhang & Lee 1994;Frolov 1997) have been carried out based on the model of Zel'dovich (1940) in which drag forces have been introduced.…”

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confidence: 99%

Mean structure of one-dimensional unstable detonations with friction

2014

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WOS:000332844200022International audienceThis investigation deals with the study of the mean structure of a mildly unstable non-ideal detonation wave. The analysis is based on the integration of one-dimensional reactive Euler equations with friction forces using a third-order Runge-Kutta scheme and a fifth-order weighted essentially non-oscillatory (WENO5) spatial discretization. A one-step Arrhenius reaction mechanism is used for modelling the chemical reaction. When the frictional forces are active, the limit cycle based on the post-shock pressure reveals an enhanced pulsating behaviour of the downstream subsonic reaction zone compared to the ideal case. The results show that the detonation-velocity deficit increases as the mean reaction zone becomes thicker compared to the generalized ZND model. A new master equation, based on the Favre-averaged quantities, is derived and analysed along with new sonicity and thermicity conditions. The analysis of the species, momentum and energy balances reveals that the presence of mechanical fluctuations within the reaction zone constitutes another source of energy withdrawal, meaning that the detonation deviates from its laminar structure. Furthermore, the compressibility of the flow is analysed and the relationships between the fluctuations of temperature, velocity and reactive scalar are discussed in terms of strong Reynolds analogies

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“…Figures 2 and 3, one can see many similarities with the mechanism proposed by Fay [7] on Figure 1, except for the sonic surface. Moreover, chemical decomposition also takes place in the supersonic region near wall boundaries, which implies that less energy is available to support the detonation front, as Manson and Guénoche [11] suggested. The Master equation can be derived from the Navier-Stokes reactive equations.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…He included friction as drag forces and heat losses in a one-dimensional formalism. On the other hand, Zhang and Lee [20] concluded that energy dissipation, due to friction, is the main cause of velocity deficit [20] whereas Manson and Guénoche [11] proposed another phenomenological mechanism to account for the velocity deficit. They assume that chemical reactions are inhibited or significantly modified in a viscous fluid layer adjacent to the walls.…”

Section: Introductionmentioning

confidence: 99%

Computational study of detonation wave propagation in narrow channels

2013

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A numerical study of the propagation of regular detonation waves is conducted in the context of narrow channels undergoing strong wall confinement. To deal with shock waves, chemical reactions, heat and viscous stresses, a high-order Navier-Stokes solver based on Weighted Essentially Non-Oscillatory (WENO) scheme, coupled with the Strang splitting method, is used in the framework of multi-species reacting mixtures. Results show that the wall dissipative effects decrease the speed of the detonation wave compared to the Chapman-Jouguet (CJ) detonation velocity. In addition, the multidimensional results reveal that the development of the thermo-diffusive boundary layers behind the leading shock wave induces an expansion flow, which then determines the contour of the sonic envelope. From the Master Equation and the generalized CJ condition, which are derived and compared to the results of the current simulations, the main energy withdrawals are found to be related to the streamline divergence as well as to the growth of the boundary layer. Moreover, a fraction of the released energy is trapped in the vicinity of the wall and does not contribute to drive the shock front. The influence of the channel height is also investigated. It was found that the transverse instabilities are damped when the channel is scaled down, which results in an increase of the dissipative effects. Finally, the validity of the Fay model is discussed with regard to the channel height and the curvature of the detonation front.

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Effect of the charge diameter on the velocity of detonation waves in gas mixtures

Cited by 14 publications

References 7 publications

Propagation of near-limit gaseous detonations in small diameter tubes

Propagation of near-limit gaseous detonations in small diameter tubes

Mean structure of one-dimensional unstable detonations with friction

Computational study of detonation wave propagation in narrow channels

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