Download or read book A Graphical Solution of Shock Equations written by Charles E. Treanor and published by . This book was released on 1959 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Graphical Solution of Shock Equations written by Charles E. Treanor and published by . This book was released on 1959 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shock Hydrodynamics written by Mark L. Wilkins and published by . This book was released on 1962 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hugoniot relations, which express conservation of mass, momentum, and energy across a discontinuity, are derived. The relations are applied to a perfect gas for illustration, and graphical methods of solving shock problems are presented.
Download or read book Tables and Graphs of the Theoretical Peak Pressures Energies and Impulses of Shock Waves from Explosive Sources in Sea Water written by and published by . This book was released on 1945 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory of the propagation of shock waves from explosive sources was presented in NDRC Report A-318 (OSRD - 4814). In that report, a pair of ordinary differential equations for peak pressure and shock-wave energy as functions of the distance from the source were formulated from the equations of hydrodynamics by imposing a similarity restraint on the shape of the energy-time curve of the shock wave. Two-parameter families of peak pressure-distance curves are obtained by the solution of these propagation equations. The parameters are conveniently chosen as the initial values of the pressure and shock-wave energy. In the present report, tables and graphs of the two-parameter families of curves for shock waves from explosive sources in sea water are presented. A method is outlined for the determination of the parameters from experimental values of the peak pressure and impulse over a limited range of distances from the source.
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.
Download or read book Viscous Profiles and Numerical Methods for Shock Waves written by Michael Shearer and published by SIAM. This book was released on 1991-01-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: One strongly represented theme is the power of ideas from dynamical systems that are being adapted and developed in the context of shock waves.
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.
Download or read book Decay of Strong Plane Shocks in an Ideal Gas written by Pei Chi Chou and published by . This book was released on 1964 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1959 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Introduction to Simple Shock Waves in Air written by Seán Prunty and published by Springer Nature. This book was released on 2021-01-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction to 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, with artificial viscosity introduced into the numerical calculations in order to deal with shocks. This treatment of the subject is focused on the finite-difference approach to solve the coupled differential equations of fluid flow and 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 expanded second edition features substantial new material on sound wave parameters, Riemann's method for numerical integration of the equations of motion, approximate analytical expressions for weak shock waves, short duration piston motion, numerical results for shock wave interactions, and new appendices on the piston withdrawal problem and numerical results for a closed shock tube. 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.
Download or read book Some Approximate Calculations of the Wall Pressure Profile for the Case of a Chapman Jouquet Detonation in a Finite Mass of High Explosive Adjacent to a Rigid Wall written by Kenneth A. Meyer and published by . This book was released on 1963 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Simple Shock Waves in Air written by Sean Prunty and published by . This book was released on 2019 with total page 257 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.
Download or read book A Numerical Solution for the Interaction of a Moving Shock Wave with a Turbulent Mixing Region written by William Fred Walker and published by . This book was released on 1966 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shock Dynamics written by Z. Han and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written as a graduate student course--Shock Dynamics. Up to now, the first author has taught this course to the graduate students in the field of Fluid Mechanics, Department of Modern Mechanics, University of Science and Technology of China for seven times. In the spring semester 1989, during his visit to the United States, the first author taught this course to the graduate students of Department of Mathemat ics, University of Colorado at Denver. At the same time, he gave a series of four lectures on Shock Dynamics to the graduate students of Department of Aerospace Engineering Sciences, University of Colorado at Boulder. In 1991, during the first author's visit to Japan, he gave some lectures on Shock Dynamics in Tohoku University, University of Tokyo and Kyushu Uni versity. The dynamic phenomena of shock waves such as propagation, diffraction, reflection, refraction and interaction of shock waves may be studied by using experimental methods, numerical calculations and theoretical analyses. Although the detailed flow patterns of phenomena of shock motion can be obtained by using experimental methods and numerical calculations of solving Euler Equation or Navier-Stokes Equation, for example, the diffractions of shock waves by wedges form various phenomena of reflection--RR, SMR, CMR and DMR, we also need to analyse the process of the formation of shock waves in various phenomena of diffraction, reflection and interaction by using theoretical methods.
Download or read book Exact and Approximate Solutions to the Oblique Shock Equations for Real Time Applications written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-12-29 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The derivation of exact solutions for determining the characteristics of an oblique shock wave in a supersonic flow is investigated. Specifically, an explicit expression for the oblique shock angle in terms of the free stream Mach number, the centerbody deflection angle, and the ratio of the specific heats, is derived. A simpler approximate solution is obtained and compared to the exact solution. The primary objectives of obtaining these solutions is to provide a fast algorithm that can run in a real time environment. Hartley, T. T. and Brandis, R. and Mossayebi, F. NASA-CR-187173, NAS 1.26:187173 NAG3-904; RTOP 505-62-40...
Download or read book Shock Wave Reflection Phenomena written by Gabi Ben-Dor and published by Springer Science & Business Media. This book was released on 2007-08-28 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive state-of-the-knowledge summation of shock wave reflection phenomena from a phenomenological point of view. It includes a thorough introduction to oblique shock wave reflections, dealing with both regular and Mach types. It also covers in detail the corresponding two- and three-shock theories. The book moves on to describe reflection phenomena in a variety of flow types, as well as providing the resolution of the Neumann paradox.
