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| Author | : Y.V. Stupochenko |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 404 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3642482465 |
| Author | : E. V. Stupochenko |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1967 |
| Genre | : |
| ISBN | : 9780387037271 |
| Author | : E. V. Stupočenko |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1967 |
| Genre | : |
| ISBN | : |
| Author | : |
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| Total Pages | : |
| Release | : 1967 |
| Genre | : |
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| Author | : Evgenij V. Stupočenko |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1967 |
| Genre | : |
| ISBN | : |
| Author | : Evgeniĭ Vladimirovich Stupochenko |
| Publisher | : |
| Total Pages | : 394 |
| Release | : 1967 |
| Genre | : Relaxation (Gas dynamics) |
| ISBN | : |
| Author | : Heinrich Freistühler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 527 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461201934 |
In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments.
| Author | : G.I. Kanel' |
| Publisher | : CRC Press |
| Total Pages | : 225 |
| Release | : 2019-04-30 |
| Genre | : Science |
| ISBN | : 1000005275 |
Methods and the latest results of experimental studies of the strength properties, polymorphism and metastable states of materials and substances with extremely short durations of shock-wave action are presented. The author provides a comprehensive and theoretical description of specific features of the dynamics of elastoplastic shock compression waves in relaxing media. The presentation is preceded by a detailed description of the theoretical foundations of the method and a brief discussion of the basic methods of generating and diagnosing shock waves in solids. Key Selling Features: Addresses dynamic elastic-plastic response, spallation, and shock-induced phase transformation. Provides a centralized presentation of topics of interest to the shock physics community Presents new data on the mechanism and basic patterns of sub-microsecond polymorphic transformations and phase transitions. Investigates destruction waves in shock-compressed glasses. Analyzes the behavior of highly hard brittle materials under shock-wave loading and ways to diagnose fracture.
| Author | : E. V. Stupochenko |
| Publisher | : |
| Total Pages | : 394 |
| Release | : 1967 |
| Genre | : |
| ISBN | : |
| Author | : Franz Hindelang |
| Publisher | : |
| Total Pages | : 44 |
| Release | : 1967 |
| Genre | : Carbon dioxide |
| ISBN | : |
The harmonic oscillator rigid-rotator model has been used to calculate the relaxation region behind a shock wave in carbon dioxide. Finite relaxation rates for the three different vibrational modes and two dissociation reactions are included. Models for the coupling between the vibrational relaxation and the dissociation process are based on the assumption that dissociation can proceed from any vibrational level with equal probability. Two different models for the vibrational excitation have been examined. Solutions have been obtained for the interdependent fluid-flow, chemical rate, and vibrational relaxation-rate equations incorporating estimated rate coefficients. Results are presented in the form of flow-field profiles for density, pressure, translational and vibrational temperatures, and species concentrations. The effects of vibrational excitation, vibration-dissociation coupling, and energy exchange between the vibrational modes are investigated. The effect of vibrational relaxation and vibration-dissociation coupling is much stronger in CO2 with three different vibrational modes than in diatomic gases with only a single mode. The results of this study show that the effect of coupled vibrational relaxation and dissociation can sometimes alter the flow-field profiles by a factor of 2 compared to similar calculations without such coupling. For vibrational relaxation the results indicate that the shock-wave profiles depend primarily on the rate at which the translational energy is fed into internal modes and not so strongly on the energy distribution among the modes.
