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Author : Bruno John Zwolinski
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (212 download)
Download or read book The Fundamental Equations of Hydrodynamics and Shock Waves written by Bruno John Zwolinski and published by . This book was released on 1956 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James N. Johnson
Publisher : Springer Science & Business Media
ISBN 13 : 9780387984100
Total Pages : 544 pages
Book Rating : 4.9/5 (841 download)
Download or read book Classic Papers in Shock Compression Science written by James N. Johnson and published by Springer Science & Business Media. This book was released on 1998-06-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of classic papers in shock compression science makes available not only some of the most important classic papers on shock waves by Poisson, Rankine, Earnshaw, Riemann, and Hugoniot, which remain important references, but also some pathbreaking papers from the 1940s and 1950s on shocks in solids and fluids by such theorists as Bethe, and Weyl. Although their ideas and results remain of current interest, many of these papers have been hard to find, since the journals in which they were published are not available in many libraries. The editors have also translated papers written in French to make them accessible to a wider audience. This collection is thus not only a valuable historical resource but also a vital reference for those working in the field.
Author : Akihiro Sasoh
Publisher : Springer Nature
ISBN 13 : 9811505047
Total Pages : 278 pages
Book Rating : 4.8/5 (115 download)
Download or read book Compressible Fluid Dynamics and Shock Waves written by Akihiro Sasoh and published by Springer Nature. This book was released on 2020-01-02 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers comprehensive coverage of compressible flow phenomena and their applications, and is intended for undergraduate/graduate students, practicing professionals, and researchers interested in the topic. Thanks to the clear explanations provided of a wide range of basic principles, the equations and formulas presented here can be understood with only a basic grasp of mathematics. The book particularly focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with a contact surface, slip line or surface; in addition, the thrust of a rocket engine and that of an air-breathing engine are also formulated. Furthermore, the book covers important fundamentals of various aspects of physical fluid dynamics and engineering, including one-dimensional unsteady flows, and two-dimensional flows, in which oblique shock waves and Prandtl-Meyer expansion can be observed.
Author : Seán Prunty
Publisher : Springer
ISBN 13 : 3030025659
Total Pages : 247 pages
Book Rating : 4.0/5 (3 download)
Download or read book Introduction to Simple Shock Waves in Air written by Seán Prunty and published by Springer. This book was released on 2018-12-13 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner. Artificial viscosity is introduced into the numerical calculations in order to deal with shocks. The presentation is restricted to the finite-difference approach to solve the coupled differential equations of fluid flow as distinct from finite-volume or finite-element methods. This text presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air. This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.
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 : Joel Smoller
Publisher : Springer Science & Business Media
ISBN 13 : 1468401521
Total Pages : 596 pages
Book Rating : 4.4/5 (684 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 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . . the progress of physics will to a large extent depend on the progress of nonlinear mathe matics, of methods to solve nonlinear equations . . . and therefore we can learn by comparing different nonlinear problems. WERNER HEISENBERG I undertook to write this book for two reasons. First, I wanted to make easily available the basics of both the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by C. Conley. These important subjects seem difficult to learn since the results are scattered throughout the research journals. 1 Second, I feel that there is a need to present the modern methods and ideas in these fields to a wider audience than just mathe maticians. Thus, the book has some rather sophisticated aspects to it, as well as certain textbook aspects. The latter serve to explain, somewhat, the reason that a book with the title Shock Waves and Reaction-Diffusion Equations has the first nine chapters devoted to linear partial differential equations. More precisely, I have found from my classroom experience that it is far easier to grasp the subtleties of nonlinear partial differential equations after one has an understanding of the basic notions in the linear theory. This book is divided into four main parts: linear theory, reaction diffusion equations, shock wave theory, and the Conley index, in that order. Thus, the text begins with a discussion of ill-posed problems.
Author : A. Lichnerowicz
Publisher : Springer Science & Business Media
ISBN 13 : 9401721262
Total Pages : 292 pages
Book Rating : 4.4/5 (17 download)
Download or read book Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time written by A. Lichnerowicz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: For seventy years, we have known that Einstein's theory is essentially a theory of propagation of waves for the gravitational field. Confusion enters, however, through the fact that the word wave, in physics, implies sometimes repetition and sometimes not. This confusion is often increased by he use of Fourier transforms, by which a disturbanse which appears to be without repetition is resolved into periodic wave-trains with all frequencies. But, in a general curved space-time, we have nothing corresponding to Fourier transforms. Here, we consider systematically waves corresponding to the propagation of discontinuities of physical quantities describing either fields (essentially electromagnetic fields and gravitational field), or the motion of a fluid, or together, in magnetohydrodynamics, the changes in time of a field and of a fluid. The main equations, for the different studied phenomena, constitute a hyperbolic system and the study of a formal Cauchy problem is possible. We call ordinary waves the case in which the derivative of superior order appearing in the system are discontinuous at the traverse of a hypersurface, the wave front ; we call shock waves the case where the derivatives of an order inferior by one are discontinuous at the traverse of a wave front. XI xii PREFACE From 1950, many well-known scientits (Taub, Synge, Choquet-B ruhat, etc.) have studied the corresponding equations for different physical phenomena : systems associated to the electromagnetic and gravitational fields, to hydrodynamics and to magnetohydrodynamics.
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 : Victor Avila
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783848432356
Total Pages : 124 pages
Book Rating : 4.4/5 (323 download)
Download or read book Hydrodynamics of Shock Waves in Supernovæ written by Victor Avila and published by LAP Lambert Academic Publishing. This book was released on 2012-04 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical description of shock waves has been a fundamental challenge in Fluid Dynamics and became a real problem for the calculations of the first thermonuclear explosions, during World War II. Two famous mathematicians, Von Neumann and R. D. Richtmyer, working at Los Alamos, addressed the issue by including an artificial viscosity to smooth the shock transition. In general, numerical solutions of hydrodynamic problems make use of two different grid points to represent the relevant variables, namely the Eulerian and Lagrangian representations. The arbitrariness related to the selection of grid points, ad hoc, is examined in detail in this book, as well as the reasons subjacent to the need to introduce an artificial viscosity. A new approach to Hydrodynamics is presented in which the specification of grid points is considered an intrinsic part of the dynamic problem and in which the discontinuities are taken into account in its own formulation. Based only in the Hamilton s Principle a set of differential equations is deduced for both dynamic variables and grid points. The formalism is applied to the study and analysis of supernova explosions.
Author : Huon Li
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.0/5 ( download)
Download or read book Shock Wave Structure in a Fully Ionized Gas Based on Multi-component Fluid Theory written by Huon Li and published by . This book was released on 1961 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multi-component continuous approach for the investigation of the gasdynamics of a plasma is presented. More information about the flow properties of a plasma can be obtained than from the classical magnetohydrodynamic approach. Also, the resulting equations appear to be more easily solved than the Blotzmann equation of classical kinetic theory. The basic macroscopic conservation equations for a non-reacting multi-component plasma are presented. The fluid properties of each component are referred to the mean velocity of that component. Therefore, no limitations are placed on the magnitude of the diffusion velocities. The effects of electric and magnetic fields are included. The equations for a two-component mixture are used to study the structure of a shock wave in a fully-ionized hydrogen gas. It is assumed that the momentum exchange and energy exchange between the ions and electrons are important because of the strong Coulomb forces present. (Author).
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 : Hans Albrecht Bethe
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.3/5 (91 download)
Download or read book Shock Hydrodynamics and Blast Waves written by Hans Albrecht Bethe and published by . This book was released on 1944 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kazuyoshi Takayama
Publisher : Springer Science & Business Media
ISBN 13 : 3642776485
Total Pages : 735 pages
Book Rating : 4.6/5 (427 download)
Download or read book Shock Waves written by Kazuyoshi Takayama and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shock wave research covers important inderdisciplinary areas which range from basic topics on gasdynamics, combustion and detonation, physico-chemistry of high temperature gases, plasma physics, astro and geophysics, materials science, astronautics and space technology to medical and industrial applications. This book includes 202 papers presented at the 18th the International Symposium on Shock Waves which describe the research frontier of shock wave phenopmena and 14 plenary lectures which show the state of the art of various fields of shock wave research. This proceedings is a unique collection of most important and updated shock wave research.
Author : George Emanuel
Publisher : CRC Press
ISBN 13 : 1351374591
Total Pages : 651 pages
Book Rating : 4.3/5 (513 download)
Download or read book Analytical Fluid Dynamics, Third Edition written by George Emanuel and published by CRC Press. This book was released on 2017-09-18 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Edition Now Covers Shock-Wave Analysis An in-depth presentation of analytical methods and physical foundations, Analytical Fluid Dynamics, Third Edition breaks down the "how" and "why" of fluid dynamics. While continuing to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced analytical approaches to aid in the analytical process and corresponding physical interpretation. It also addresses the need for a more flexible mathematical language (utilizing vector and tensor analysis and transformation theory) to cover the growing complexity of fluid dynamics. Revised and updated, the text centers on shock-wave structure, shock-wave derivatives, and shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and outlines operator methods and laminar boundary-layer theory. In addition, the discussion introduces pertinent assumptions, reasons for studying a particular topic, background discussion, illustrative examples, and numerous end-of-chapter problems. Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material that includes: Viscous dissipation The second law of thermodynamics Calorically imperfect gas flows Aerodynamic sweep Shock-wave interference Unsteady one-dimensional flow Internal ballistics Force and momentum balance The Substitution Principle Rarefaction shock waves A comprehensive treatment of flow property derivatives just downstream of an unsteady three-dimensional shock Shock-generated vorticity Triple points An extended version of the Navier‒Stokes equations Shock-free supersonic diffusers Lift and thrust from an asymmetric nozzle Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book provides an authoritative interpretation of formulations and procedures in analytical fluid dynamics, and offers analytical solutions to fluid dynamic problems.
Author : Hilary Ockendon
Publisher : Springer
ISBN 13 : 1493933817
Total Pages : 246 pages
Book Rating : 4.4/5 (939 download)
Download or read book Waves and Compressible Flow written by Hilary Ockendon and published by Springer. This book was released on 2016-01-21 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. Comprehensive collections of models are used to illustrate the underpinning mathematical methodologies, which include the basic ideas of the relevant partial differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how intimately gasdynamic waves are related to wave phenomena in many other areas of physical science. Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. Reviews of the first edition: "This book ... is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. ... is extraordinarily accurate and free of misprints ... . I enjoyed reading this book. ... most attractive and enticing appearance, and I’m certain that many readers who browse through it will wish to buy a copy. The exercises ... are excellent. ... A beginner who worked through these exercises would not only enjoy himself or herself, but would rapidly acquire mastery of techniques used...in JFM and many other journals..." (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004) "The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer’s opinion, it is very well designed to catch the student’s interest ... while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume is mainly devoted to inviscid flows. ... The book is very well written." (Denis Serre, Mathematical Reviews, 2004)
Author : Iain G. Currie
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (318 download)
Download or read book Fundamental Mechanics of Fluids written by Iain G. Currie and published by McGraw-Hill Companies. This book was released on 1993 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated, this text provides details on intermediate concepts of potential, viscous, incompressible and compressible flow. Material is broad-based, covering a range of topics in an introductory manner, concentrating on the classic results rather than attempting to include the most recent advances in the subject. This new edition features expanded treatment of boundary layer flows, a new chapter dealing with buoyancy-driven flows, and new problems at the end of each chapter. A solutions manual is available (0-07-015001-X).
Author : Richard Courant
Publisher : Springer Science & Business Media
ISBN 13 : 9780387902326
Total Pages : 488 pages
Book Rating : 4.9/5 (23 download)
Download or read book Supersonic Flow and Shock Waves written by Richard Courant and published by Springer Science & Business Media. This book was released on 1999-02-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Courant and Friedrich's classical treatise was first published in 1948 and tThe basic research for it took place during World War II. However, many aspects make the book just as interesting as a text and a reference today. It treats the dynamics of compressible fluids in mathematical form, and attempts to present a systematic theory of nonlinear wave propagation, particularly in relation to gas dynamics. Written in the form of an advanced textbook, it should appeal to engineers, physicists and mathematicians alike.
