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Author : Y.V. Stupochenko
Publisher : Springer Science & Business Media
ISBN 13 : 3642482465
Total Pages : 404 pages
Book Rating : 4.6/5 (424 download)
Download or read book Relaxation in Shock Waves written by Y.V. Stupochenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. V. Stupochenko
Publisher :
ISBN 13 : 9780387037271
Total Pages : 0 pages
Book Rating : 4.0/5 (372 download)
Download or read book Relaxation in Shock Waves written by E. V. Stupochenko and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. V. Stupočenko
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (634 download)
Download or read book Relaxation in Shock Waves written by E. V. Stupočenko and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joel Smoller
Publisher : Springer Science & Business Media
ISBN 13 : 1461208734
Total Pages : 650 pages
Book Rating : 4.4/5 (612 download)
Download or read book Shock Waves and Reaction—Diffusion Equations written by Joel Smoller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con structing travelling waves for systems of nonlinear equations. The final sec tion, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applica ble to many interesting reaction-diffusion systems.
Author : Heinrich Freistühler
Publisher : Springer Science & Business Media
ISBN 13 : 1461201934
Total Pages : 527 pages
Book Rating : 4.4/5 (612 download)
Download or read book Advances in the Theory of Shock Waves written by Heinrich Freistühler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Lee Davison
Publisher : Springer Science & Business Media
ISBN 13 : 3540745696
Total Pages : 439 pages
Book Rating : 4.5/5 (47 download)
Download or read book Fundamentals of Shock Wave Propagation in Solids written by Lee Davison and published by Springer Science & Business Media. This book was released on 2008-04-24 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: My intent in writing this book is to present an introduction to the thermo- chanical theory required to conduct research and pursue applications of shock physics in solid materials. Emphasis is on the range of moderate compression that can be produced by high-velocity impact or detonation of chemical exp- sives and in which elastoplastic responses are observed and simple equations of state are applicable. In the interest of simplicity, the presentation is restricted to plane waves producing uniaxial deformation. Although applications often - volve complex multidimensional deformation fields it is necessary to begin with the simpler case. This is also the most important case because it is the usual setting of experimental research. The presentation is also restricted to theories of material response that are simple enough to permit illustrative problems to be solved with minimal recourse to numerical analysis. The discussions are set in the context of established continuum-mechanical principles. I have endeavored to define the quantities encountered with some care and to provide equations in several convenient forms and in a way that lends itself to easy reference. Thermodynamic analysis plays an important role in continuum mechanics, and I have included a presentation of aspects of this subject that are particularly relevant to shock physics. The notation adopted is that conventional in expositions of modern continuum mechanics, insofar as possible, and variables are explained as they are encountered. Those experienced in shock physics may find some of the notation unconventional.
Author : Franz Hindelang
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (31 download)
Download or read book Coupled Vibration and Dissociation Relaxation Behind Strong Shock Waves in Carbon Dioxide written by Franz Hindelang and published by . This book was released on 1967 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : John T. Howe
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (31 download)
Download or read book Chemical Relaxation Behind Strong Normal Shock Waves in Carbon Dioxide Including Interdependent Dissociation and Ionization Processes written by John T. Howe and published by . This book was released on 1964 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Konstantinos Kontis
Publisher : Springer Science & Business Media
ISBN 13 : 3642256880
Total Pages : 860 pages
Book Rating : 4.6/5 (422 download)
Download or read book 28th International Symposium on Shock Waves written by Konstantinos Kontis and published by Springer Science & Business Media. This book was released on 2012-03-14 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: The University of Manchester hosted the 28th International Symposium on Shock Waves between 17 and 22 July 2011. The International Symposium on Shock Waves first took place in 1957 in Boston and has since become an internationally acclaimed series of meetings for the wider Shock Wave Community. The ISSW28 focused on the following areas: Blast Waves, Chemically Reacting Flows, Dense Gases and Rarefied Flows, Detonation and Combustion, Diagnostics, Facilities, Flow Visualisation, Hypersonic Flow, Ignition, Impact and Compaction, Multiphase Flow, Nozzle Flow, Numerical Methods, Propulsion, Richtmyer-Meshkov, Shockwave Boundary Layer Interaction, Shock Propagation and Reflection, Shock Vortex Interaction, Shockwave Phenomena and Applications, as well as Medical and Biological Applications. The two Volumes contain the papers presented at the symposium and serve as a reference for the participants of the ISSW 28 and individuals interested in these fields.
Author : Sylvie Benzoni-Gavage
Publisher : Springer Science & Business Media
ISBN 13 : 3540757120
Total Pages : 1117 pages
Book Rating : 4.5/5 (47 download)
Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Sylvie Benzoni-Gavage and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 1117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.
Author : Ya. B. Zel’dovich
Publisher : Courier Corporation
ISBN 13 : 048613508X
Total Pages : 946 pages
Book Rating : 4.4/5 (861 download)
Download or read book Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena written by Ya. B. Zel’dovich and published by Courier Corporation. This book was released on 2012-08-29 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical, chemical processes in gases at high temperatures are focus of outstanding text, which combines material from gas dynamics, shock-wave theory, thermodynamics and statistical physics, other fields. 284 illustrations. 1966–1967 edition.
Author : Wallace Hayes
Publisher : Elsevier
ISBN 13 : 0323147852
Total Pages : 479 pages
Book Rating : 4.3/5 (231 download)
Download or read book Physics of Shock Waves and High–Temperature Hydrodynamic Phenomena written by Wallace Hayes and published by Elsevier. This book was released on 2012-12-02 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Volume II presents interpretations of the physical basis of shockwaves and high-temperature hydrodynamic phenomena and gives practical guidance to those who work with these subjects in science and modern technology. This volume contains chapters discussing such topics as the shockwave structure in gases; physical and chemical kinetics in hydrodynamic processes; the radiative phenomena in shock waves and in strong explosions in the air; thermal waves and shockwaves in solids; and self-similar processes in gasdynamics. Physicists, engineers, researchers, and professors and students in the field of the physical sciences will find the book very educational.
Author : G.I. Kanel'
Publisher : CRC Press
ISBN 13 : 1000005275
Total Pages : 225 pages
Book Rating : 4.0/5 ( download)
Download or read book Shock Waves in Solid State Physics written by G.I. Kanel' and published by CRC Press. This book was released on 2019-04-30 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Howard W. Emmons
Publisher : Princeton University Press
ISBN 13 : 1400877539
Total Pages : 784 pages
Book Rating : 4.4/5 (8 download)
Download or read book Fundamentals of Gas Dynamics written by Howard W. Emmons and published by Princeton University Press. This book was released on 2015-12-08 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II of the High Speed Aerodynamics and Jet Propulsion series. The series which stress the more fundamental aspects of the various phenomena that make up the broad field of aeronautical science. The aerodynamicist and gas dynamicist will find both the classical and the important new concepts of gas dynamics presented in an informative and stimulating manner. Specialists in the study of gas dynamics have contributed Sections as follows: H. S. Tsien, The Equations of Gas Dynamics; L. Crocco, One-Dimensional Treatment of Steady Gas Dynamics; A. Kantrowitz, One-Dimensional Treatment of Nonsteady Gas Dynamics; W. Hayes, The Basic Theory of Gasdynamic Discontinuities; H. Polachek and R. J. Seeger, Shock Wave Interactions; H. G. Stever, Condensation Phenomena in High Speed Flows; T. H. Von Karman, H. W. Emmons, G. I. Taylor, and R. S. Tankin, Gas Dynamics of Combustion and Detonation; S. Schaaf and P. Chambre, Flow of Rarefied Gases. Originally published in 1958. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Tai-Ping Liu
Publisher : American Mathematical Soc.
ISBN 13 : 1470466252
Total Pages : 437 pages
Book Rating : 4.4/5 (74 download)
Download or read book Shock Waves written by Tai-Ping Liu and published by American Mathematical Soc.. This book was released on 2021-10-12 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamentals of the shock wave theory. The first part of the book, Chapters 1 through 5, covers the basic elements of the shock wave theory by analyzing the scalar conservation laws. The main focus of the analysis is on the explicit solution behavior. This first part of the book requires only a course in multi-variable calculus, and can be used as a text for an undergraduate topics course. In the second part of the book, Chapters 6 through 9, this general theory is used to study systems of hyperbolic conservation laws. This is a most significant well-posedness theory for weak solutions of quasilinear evolutionary partial differential equations. The final part of the book, Chapters 10 through 14, returns to the original subject of the shock wave theory by focusing on specific physical models. Potentially interesting questions and research directions are also raised in these chapters. The book can serve as an introductory text for advanced undergraduate students and for graduate students in mathematics, engineering, and physical sciences. Each chapter ends with suggestions for further reading and exercises for students.
Author : Ralph E. Thomas
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.E/5 ( download)
Download or read book Similitude for Normal Shock Waves in Nonequilibrium Flows written by Ralph E. Thomas and published by . This book was released on 1965 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Similarity parameters are developed which govern the length of nonequilibrium zones behind normal shock waves. Non-equilibrium effects produced by both vibrational relaxation and dissociation are considered. The parameters can also account for arbitrary levels of free-stream vibrational energy or dissociation level. The validity of the parameters is examined using numerical computations of the properties of the non-equilibrium fields. These computations are made with the aid of experimentally based rate expressions. The parameters, when written in a form describing the variation of non-equilibrium zone length with Mach number, are shown to have acceptable accuracy. (Author).
Author : Raymond Brun
Publisher : Springer Science & Business Media
ISBN 13 : 3642251196
Total Pages : 344 pages
Book Rating : 4.6/5 (422 download)
Download or read book High Temperature Phenomena in Shock Waves written by Raymond Brun and published by Springer Science & Business Media. This book was released on 2012-01-24 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The high temperatures generated in gases by shock waves give rise to physical and chemical phenomena such as molecular vibrational excitation, dissociation, ionization, chemical reactions and inherently related radiation. In continuum regime, these processes start from the wave front, so that generally the gaseous media behind shock waves may be in a thermodynamic and chemical non-equilibrium state. This book presents the state of knowledge of these phenomena. Thus, the thermodynamic properties of high temperature gases, including the plasma state are described, as well as the kinetics of the various chemical phenomena cited above. Numerous results of measurement and computation of vibrational relaxation times, dissociation and reaction rate constants are given, and various ionization and radiative mechanisms and processes are presented. The coupling between these different phenomena is taken into account as well as their interaction with the flow-field. Particular points such as the case of rarefied flows and the inside of the shock wave itself are also examined. Examples of specific non-equilibrium flows are given, generally corresponding to those encountered during spatial missions or in shock tube experiments.
