Modeling of unsteady two-phase reactive flow in porous beds of propellant

Gokhale, S. S.; Krier, Herman

doi:10.1016/0360-1285(82)90007-7

Cited by 39 publications

(19 citation statements)

References 32 publications

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“…While models of this kind arise in a number of applications, the context of deflagration-to-detonation transition in high-energy condensed-phase explosives provides the motivation for the present effort. A twophase continuum description of granular explosives has been provided by Baer and Nunziato [1]; also see the contemporaneous study of Butler and Krier [2], the earlier work of Gokhale and Krier [3], and the later papers of Powers, Stewart and Krier [4,5]. The model treats the explosive as a mixture of two phases, the unreacted granular solid and the gaseous product of combustion.…”

Section: Introductionmentioning

confidence: 99%

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

Schwendeman

Wahle

Kapila

2006

Journal of Computational Physics

176

188

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Section: Introductionmentioning

confidence: 99%

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

Schwendeman

Wahle

Kapila

2006

Journal of Computational Physics

176

188

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“…Different empirical models have been proposed in literature to account for the inter-granular interaction terms; see [33,34] for a better understanding of the significance of these terms. Our experience shows that P s generally takes values in the range 100-500 MPa for the current problem of heterogeneous explosions; see [3,4] for more discussions on the effect of the choice of P s on the blast wave and particle cloud dispersion.…”

Section: Solid Phasementioning

confidence: 99%

Characterization of the Mixing Layer Resulting from the Detonation of Heterogeneous Explosive Charges

Balakrishnan

Menon

2011

Flow Turbulence Combust

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A dense, two-phase numerical methodology is used to study the mixing layer developing behind the detonation of a heterogeneous explosive charge, i.e., a charge comprising of a high explosive with metal particles. The filtered NavierStokes equations are solved in addition to a sub-grid kinetic energy equation, along with a recently developed Eulerian-Lagrangian formulation to handle dense flowfields. The mixing layer resulting from the post-detonation phase of the explosion of a nitromethane charge consisting of inert steel particles is of interest in this study. Significant mixing and turbulence effects are observed in the mixing layer, and the rms of the radial velocity component is found to be about 25% higher than that of the azimuthal and zenith velocity components due to the flow being primarily radial. The mean concentration profiles are self-similar in shape at different times, based on a scaling procedure used in the past for a homogeneous explosive charge. The peak rms of concentration profiles are 23-30% in intensity and decrease in magnitude with time. The behavior of concentration gradients in the mixing layer is investigated, and stretching along the radial direction is observed to decrease the concentration gradients along the azimuth and zenith directions faster than the radial direction. The mixing and turbulence effects in the mixing layer subsequent to the detonation of the heterogeneous explosive charge are superior to that of a homogeneous explosive charge containing the same amount of the high explosive, exemplifying the role played by the particles in perturbing the flow-field. The nonlinear growth of the mixing layer width starts early for the heterogeneous explosive charge, and the rate is reduced during the implosion phase in comparison with the homogeneous charge. The turbulence intensities in the mixing layer for the

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“…Carroll and Holt (1972) and Butcher et al (1974) described a time-dependent pore collapse mechanism for porous alumi num. Baer and Nunziato (1986), Baer (1988), Gokhale and Krier (1982) and Powers et al (1989) provided two-phase continuum mixture equations to describe the motion of a mixture of soHd particles and gas. These equations simulate the deflagration-to-detonation transition in a column of granular explosives.…”

Section: Application Of Mixture Theorymentioning

confidence: 99%

Chapter 5 Propagation of waves in porous media

Çorapçıoplu

Tuncay

1996

Advances in Porous Media

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Wave propagation in porous media is of interest in various diversified areas of science and engineer ing. The theory of the phenomenon has been studied extensively in soil mechanics, seismology, acoustics, earthquake engineering, ocean engineering, geophysics, and many other disciplines. This review presents a general survey of the Hterature within the context of porous media mechanics. Following a review of the Biot's theory of wave propagation in Unear, elastic, fluid saturated porous media which has been the basis of many analyses, we present various analytical and numerical solutions obtained by several researchers. Biot found that there are two dilatational waves and one rotational wave in a saturated porous medium. It has been noted that the second kind of dilatational wave is highly attenuated and is associated with a diffusion type process. The influence of couphng between two phases has a decreasing effect on the first kind wave and an increasing effect on the second wave. Procedures to predict the hquefaction of soils due to earthquakes have been reviewed in detail. Extension of Biot's theory to unsaturated soils has been discussed, and it was noted that, in general, equations developed for saturated media were employed for unsaturated media by replacing the density and compressibility terms with modified values for a water-air mixture. Various approaches to determine the permeabihty of porous media from attenuation of dilatational waves have been described in detail. Since the prediction of acoustic wave speeds and attenuations in marine sediments has been extensively studied in geophysics, these studies have been reviewed along with the studies on dissipation of water waves at ocean bottoms. The mixture theory which has been employed by various researchers in continuum mechanics is also discussed within the context of this review. Then, we present an alternative approach to obtain governing equations of wave propagation in porous media from macro scopic balance equations. Finally, we present an analysis of wave propagation in fractured porous media saturated by two immiscible fluids.

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Modeling of unsteady two-phase reactive flow in porous beds of propellant

Cited by 39 publications

References 32 publications

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

Characterization of the Mixing Layer Resulting from the Detonation of Heterogeneous Explosive Charges

Chapter 5 Propagation of waves in porous media

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