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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 1260-1268 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The passage of a weak vorticity disturbance through a reactive shock wave, or detonation, is examined by means of a linearized treatment. Of special interest is the effect of chemical heat release on the amplification of vorticity, in particular, and on the disturbance pattern generated downstream of the detonation, in general. It is found that the effect of exothermicity is to amplify the refracted waves. The manner in which the imposed disturbance alters the structure of the detonation itself is also discussed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 13 (2001), S. 3002-3024 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Of the two-phase mixture models used to study deflagration-to-detonation transition in granular explosives, the Baer–Nunziato model is the most highly developed. It allows for unequal phase velocities and phase pressures, and includes source terms for drag and compaction that strive to erase velocity and pressure disequilibria. Since typical time scales associated with the equilibrating processes are small, source terms are stiff. This stiffness motivates the present work where we derive two reduced models in sequence, one with a single velocity and the other with both a single velocity and a single pressure. These reductions constitute outer solutions in the sense of matched asymptotic expansions, with the corresponding inner layers being just the partly dispersed shocks of the full model. The reduced models are hyperbolic and are mechanically as well as thermodynamically consistent with the parent model. However, they cannot be expressed in conservation form and hence require a regularization in order to fully specify the jump conditions across shock waves. Analysis of the inner layers of the full model provides one such regularization [Kapila et al., Phys. Fluids 9, 3885 (1997)], although other choices are also possible. Dissipation associated with degrees of freedom that have been eliminated is restricted to the thin layers and is accounted for by the jump conditions. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 409-418 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The process by which a trigger ignited shockless weak detonation is transformed into a classical Zeldovich–von Neumann–Doering (ZND) detonation as the trigger wave decelerates is considered in detail. This occurs as the trigger speed passes through the Chapman–Jouguet velocity DCJ. The model that is developed describes the birth and subsequent growth of a shock in the weak detonation reaction zone. This shock ultimately sustains the shock-ignited ZND detonation. The time-dependent solution presented here fills one of the many gaps in the understanding of detonation flows; an understanding based almost entirely on steady wave structures.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 3885-3897 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The structure of the velocity relaxation zone in a hyperbolic, nonconservative, two-phase model is examined in the limit of large drag, and in the context of the problem of deflagration-to-detonation transition in a granular explosive. The primary motivation for the study is the desire to relate the end states across the relaxation zone, which can then be treated as a discontinuity in a reduced, equivelocity model, that is computationally more efficient than its parent. In contrast to a conservative system, where end states across thin zones of rapid variation are determined principally by algebraic statements of conservation, the nonconservative character of the present system requires an explicit consideration of the structure. Starting with the minimum admissible wave speed, the structure is mapped out as the wave speed increases. Several critical wave speeds corresponding to changes in the structure are identified. The archetypal structure is partly dispersed, monotonic, and involves conventional hydrodynamic shocks in one or both phases. The picture is reminiscent of, but more complex than, what is observed in such (simpler) two-phase media as a dusty gas. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and computational fluid dynamics 6 (1994), S. 65-65 
    ISSN: 1432-2250
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of engineering mathematics 12 (1978), S. 221-235 
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary This paper traces the complete time history of a spatially homogeneous model of a branched-chain reaction through asymptotic methods and develops (i) a subcritical solution (fizzle) where the state variables change by small amounts, and (ii) a supercritical solution (explosion) where extremely rapid transients occur. Three distinct time scales are seen to govern the explosion: a long induction period exhibiting a very slow change of state (as in a thermal explosion), a very brief period characterized by a rapid increase in the chain-carrier concentration but a small increase in temperature (unlike a thermal explosion), followed by a longer period in which most of the chemical heat is released.
    Type of Medium: Electronic Resource
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  • 7
    Publication Date: 2012-02-07
    Description: Two macro-scale models of high-energy condensed-phase explosives are considered. The first, called ignition and growth, treats the heterogeneous explosive as a homogeneous mixture of reacting and product species. The second model treats the explosive as two distinct, but interacting, phases. Both models are hyperbolic systems of non-linear partial differential equations involving balance laws of mass, momentum and energy and involving assumed constitutive input and reaction kinetics. The two-phase model also involves stiff relaxation terms and nozzling terms that prevent the equations from being cast in conservation form. A high-resolution shock-capturing scheme on overlapping grids, with parallel adaptive mesh refinement, is used to solve the governing equations accurately. The purpose of the paper was to compare solutions of the two models for macro-scale problems involving detonation initiation and diffraction. This is done to illustrate strengths and weaknesses of the models and to suggest modifications and extensions of the models for further study.
    Print ISSN: 0272-4960
    Electronic ISSN: 1464-3634
    Topics: Mathematics
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  • 8
    Publication Date: 1990-07-01
    Print ISSN: 0899-8213
    Topics: Physics
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  • 9
    Publication Date: 1997-12-01
    Print ISSN: 1070-6631
    Electronic ISSN: 1089-7666
    Topics: Physics
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  • 10
    Publication Date: 1994-04-01
    Print ISSN: 0935-4964
    Electronic ISSN: 1432-2250
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Springer
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