Multiheaded structure of gaseous detonation

Soloukhin, R. I.

doi:10.1016/0010-2180(66)90027-7

Cited by 31 publications

(13 citation statements)

References 4 publications

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“…Edwards' estimates [11] for the location of the sonic surface were higher than the measurements of Vasil'ev [17] and Weber and Olivier [18], consistent with the fact the latter were only a lower bound estimate for the location of the real CJ surface. However, they agreed well with the earlier measurements of Soloukhin [8] for the onset of the Taylor expansion, whose results also reveal that the limiting characteristic is situated approximately at 4λ downstream of the leading front [8].…”

Section: Introductionsupporting

confidence: 88%

“…Interestingly, this length scale also corresponds to the point where an average sonic surface is developed and the flow Mach number in the detonation frame of reference is unity. It is also very interesting to note that the location of the sonic surface corresponds to ≈4λ, which is commensurate with Edwards [11] and Soloukhin's [8] experimental observations. Whether this agreement is fortuitous is not perfectly clear, in view of the shortcomings of the present model (two-dimensionality, poor approximation of dissipative processes).…”

Section: Highly Unstable Detonationssupporting

confidence: 64%

“…Soloukhin was the first to attempt to estimate an appropriate thickness of cellular detonations by taking into consideration the nonsteady gas-dynamic processes operating behind the pulsating leading shock front [6][7][8]. He introduced the terminology "hydrodynamic thickness" to emphasize the effect of the nonsteady gas-dynamic expansion processes on the reaction rates.…”

Section: Introductionmentioning

confidence: 99%

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On the Hydrodynamic Thickness of Cellular Detonations

Lee

Radulescu

2005

Combust Explos Shock Waves

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The characterization of the detonation dynamic parameters (detonability limits, direct initiation energy, critical tube diameter, etc.) requires a characteristic length scale for the detonation wave in the direction of propagation. However, most detonations are unstable, their reaction zones are turbulent, and their structure departs significantly from the idealized one-dimensional Zel'dovich-Von Neumann-Döring model. It is argued that the most suitable length scale to characterize a turbulent detonation wave is the location of the sonic surface, which separates the statistically stationary flow of the reaction zone structure from the unsteady expansions behind the wave. Previous real and numerical experiments are reviewed in order to determine the relation between the global location of the mean sonic surface and the chemical, mechanical, and thermodynamic relaxation processes occurring in the detonation wave structure. Based on the experimental evidence, we postulate that the structure of turbulent detonations can be modeled in the one-dimensional Zel'dovich-Neumann-Döring framework, with the turbulence effects as source terms in the momentum and energy equations. These source terms involve the relaxation rates for the mechanical fluctuations, thermal fluctuations and the chemical exothermicity towards equilibrium. In the framework of the idealized one-dimensional structure with source terms, the sonic surface location is governed by the balance between the competing source terms satisfying the generalized Chapman-Jouguet criterion. We recommend that future work in detonation research should be focused at: 1) acquiring a large experimental database for the mean detonation properties (detonation velocity, location of sonic surface and mean reaction zone profiles); 2) the development of the appropriate source terms involving the turbulent fluctuations in the averaged equations of motion.

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Section: Introductionsupporting

confidence: 88%

Section: Highly Unstable Detonationssupporting

confidence: 64%

Section: Introductionmentioning

confidence: 99%

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On the Hydrodynamic Thickness of Cellular Detonations

Lee

Radulescu

2005

Combust Explos Shock Waves

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“…This double Mach structure becomes more complicated as the shock moves forward, as shown in Fig. 4c (1970) and Soloukhin (1966). The whole segment ABC corresponds to the large induction zone behind the weakening incident shock.…”

Section: Structure Of the Mach Configurationmentioning

confidence: 96%

Analysis of the shock structures in a regular detonation

Lefebvre

Oran

1995

Shock Waves

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Abstract. Time-dependent two-dimensional numerical simulations have been used to investigate the detailed shock structures and patterns of energy release in the regions of the triple points and transverse waves in a planar detonation. As the system of shock triple points evolves between collisions, they trace a well shaped cellular pattern characteristic of detonations in argon-diluted, low-pressure mixtures of hydrogen and oxygen. In the region of the triple points, the shock structure evolves continuously from a single Mach structure to a double Mach structure and finally to a complex Mach structure characteristic of spinning detonations. Most of the energy released in the region of the triple points. The amount of energy release increases as the triple point comes closer to a collision with a wall or another triple point. Just before the collision, there is a large region of energy release that covers the length of the interacting transverse waves. The result is a rectangular high-energy region which boosts the propagation of the new detonation cell.

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“…Although there are predecessors, the modern theory of detonation stability starts with the work of J. Erpenbeck at Los Alamos National Laboratory who from 1962 to 1970 wrote an interconnected series of 13 articles (eleven of which appeared in the fairly young journal Physics of Fluids and two in the Proceedings of the Combustion Institute), that laid out the entire framework of the current theory for the basic detonation model for a mixture of premixed explosive gases. The period from late 1950s to mid 1960s was a time when fuel-air explosives were being studied extensively and key early experimental observations of transverse structure in gaseous detonation were obtained by Voitsekhovskii et al [19,20], Denisov, Shchelkin, and Troshin [21,22], Duff [23], White [24], Schott [25], Strehlow [26], Soloukhin [27], and others. Fickett and Davis [28] describe the state of understanding of detonation theory and detonation stability theory and provide an extensive bibliography of works through 1979 (including Erpenbeck's papers).…”

Section: B Summary Of the Theory Of Detonation Instability For Planamentioning

confidence: 99%

State of Detonation Stability Theory and Its Application to Propulsion

Stewart

Kasimov

2006

Journal of Propulsion and Power

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We present an overview of the current state of detonation stability theory and discuss its implications for propulsion. The emphasis of the review is on the exact or asymptotic treatments of detonations, including various asymptotic limits that appear in the literature. The role that instability plays in practical detonation-based propulsion is of primary importance and is largely unexplored, hence we point to possible areas of research both theoretical and numerical, that might help improve our understanding of detonation behavior in propulsion devices. We outline the basic formulation of detonation stability theory that starts from linearized Euler equations, describe the algorithm of solution, and present an example that illustrates typical results.shock velocity vector E = activation energy e = internal energy per unit mass including chemical energy f = degree of overdrive H = enthalpy flux across the shock k = transverse wave number k ! = reaction rate constant M = local Mach number relative to the shock M = mass flux across the shock n = shock-attached frame axial coordinate n = unit normal to the shock P = momentum flux across the shock p = pressure Q = heat release per unit mass q = state vector t = unit tangent vector to the shock U = x component of particle velocity in steady shock frame U 1 = x component of particle velocity in unsteady shock frame u = particle velocity vector in laboratory frame u 1 = x component of particle velocity in laboratory frame u 2 = y component of particle velocity v = specific volume x = laboratory frame axial coordinate y = transverse coordinate = perturbation growth rate = ratio of specific heats = reaction progress variable = density = thermicity = shock displacement from the steady position along x axis ! = reaction rate University. He has published extensively in the areas of combustion theory, asymptotic analysis, theory for multidimensional detonation, detonation stability, continuum mechanics of multiphase flows, phase transformations, modeling of energetic materials, solid rocket motor combustion, advanced level set methods, and computational modeling of reactive flow. He is a past associate editor for SIAM Journal of Applied Mathematics, and was a founding (and still serves as a) board member for Combustion Theory and Modelling. In 1987 he was a founder of the SIAM Conferences on Numerical Combustion that are still held worldwide. He was the concept originator and principal investigator for the University of Illinois Center for Advanced Rockets (CSAR).

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Multiheaded structure of gaseous detonation

Cited by 31 publications

References 4 publications

On the Hydrodynamic Thickness of Cellular Detonations

On the Hydrodynamic Thickness of Cellular Detonations

Analysis of the shock structures in a regular detonation

State of Detonation Stability Theory and Its Application to Propulsion

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