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Author : Louis G. Kaufman (II.)
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Stability of One-dimensional Viscous Flows: Sound Waves and Shock Waves written by Louis G. Kaufman (II.) and published by . This book was released on 1959 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Louis G. Kaufman (II.)
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book On the Stability of One-dimensional Viscous Flows: Sound Waves and Shock Waves written by Louis G. Kaufman (II.) and published by . This book was released on 1959 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Seán Prunty
Publisher : Springer Nature
ISBN 13 : 3030636062
Total Pages : 356 pages
Book Rating : 4.0/5 (36 download)
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.
Author : Tai-Ping Liu
Publisher : American Mathematical Soc.
ISBN 13 : 0821823299
Total Pages : 117 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Stability of Shock Waves for Viscous Conservation Laws written by Tai-Ping Liu and published by American Mathematical Soc.. This book was released on 1985 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we establish the nonlinear stability of shock waves for viscous conservation laws. It is shown that when the initial data is a perturbation of viscous shock waves, then the solution converges to viscous shock waves, properly translated, as time tends to infinity.
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 : Sean Prunty
Publisher :
ISBN 13 : 9783030025663
Total Pages : 257 pages
Book Rating : 4.0/5 (256 download)
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.
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.
Author : Julian L. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461238862
Total Pages : 396 pages
Book Rating : 4.4/5 (612 download)
Download or read book Wave Propagation in Solids and Fluids written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.
Author : Morris Morduchow
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Stability of Normal Shock Waves with Viscosity and Heat Conduction written by Morris Morduchow and published by . This book was released on 1970 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability problem, for small arbitrary one-dimensional disturbances of a normal shock wave with viscosity and heat conduction in a thermodynamically perfect gas with a Prandtl Number of 3/4 is treated, and is formulated explicitly as an eigenvalue problem involving ordinary linear differential equations with polynomial coefficients in a fixed finite domain whose end points are singular points of the differential equations. It is shown by a simple general type of mathematical argument that one possible mode shape for the perturbations is a translation of the shock-structure, and that such a disturbance is neutrally stable. For the limiting case of a weak-shock structure, the equations developed are shown to reduce systematically to a perturbed form of Burger's equation. The weak shock structure is shown to be stable for any Prandtl Number and general equation of state, and a complete solution for the disturbance eigenvalues and eigenfunctions in this case is derived and discussed. (Author).
Author : L D Landau
Publisher : Elsevier
ISBN 13 : 1483161048
Total Pages : 556 pages
Book Rating : 4.4/5 (831 download)
Download or read book Fluid Mechanics written by L D Landau and published by Elsevier. This book was released on 2013-09-03 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Mechanics, Second Edition deals with fluid mechanics, that is, the theory of the motion of liquids and gases. Topics covered range from ideal fluids and viscous fluids to turbulence, boundary layers, thermal conduction, and diffusion. Surface phenomena, sound, and shock waves are also discussed, along with gas flow, combustion, superfluids, and relativistic fluid dynamics. This book is comprised of 16 chapters and begins with an overview of the fundamental equations of fluid dynamics, including Euler's equation and Bernoulli's equation. The reader is then introduced to the equations of motion of a viscous fluid; energy dissipation in an incompressible fluid; damping of gravity waves; and the mechanism whereby turbulence occurs. The following chapters explore the laminar boundary layer; thermal conduction in fluids; dynamics of diffusion of a mixture of fluids; and the phenomena that occur near the surface separating two continuous media. The energy and momentum of sound waves; the direction of variation of quantities in a shock wave; one- and two-dimensional gas flow; and the intersection of surfaces of discontinuity are also also considered. This monograph will be of interest to theoretical physicists.
Author : Michael Shearer
Publisher : SIAM
ISBN 13 : 9780898712834
Total Pages : 272 pages
Book Rating : 4.7/5 (128 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 636 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1004 pages
Book Rating : 4.3/5 (91 download)
Download or read book Technical Translations written by and published by . This book was released on 1963 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 764 pages
Book Rating : 4.E/5 ( download)
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1974 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jerry W Forbes
Publisher : Springer Science & Business Media
ISBN 13 : 3642325351
Total Pages : 388 pages
Book Rating : 4.6/5 (423 download)
Download or read book Shock Wave Compression of Condensed Matter written by Jerry W Forbes and published by Springer Science & Business Media. This book was released on 2013-02-01 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the core concepts of the shock wave physics of condensed matter, taking a continuum mechanics approach to examine liquids and isotropic solids. The text primarily focuses on one-dimensional uniaxial compression in order to show the key features of condensed matter’s response to shock wave loading. The first four chapters are specifically designed to quickly familiarize physical scientists and engineers with how shock waves interact with other shock waves or material boundaries, as well as to allow readers to better understand shock wave literature, use basic data analysis techniques, and design simple 1-D shock wave experiments. This is achieved by first presenting the steady one-dimensional strain conservation laws using shock wave impedance matching, which insures conservation of mass, momentum and energy. Here, the initial emphasis is on the meaning of shock wave and mass velocities in a laboratory coordinate system. An overview of basic experimental techniques for measuring pressure, shock velocity, mass velocity, compression and internal energy of steady 1-D shock waves is then presented. In the second part of the book, more advanced topics are progressively introduced: thermodynamic surfaces are used to describe equilibrium flow behavior, first-order Maxwell solid models are used to describe time-dependent flow behavior, descriptions of detonation shock waves in ideal and non-ideal explosives are provided, and lastly, a select group of current issues in shock wave physics are discussed in the final chapter.
Author : Battelle Memorial Institute
Publisher :
ISBN 13 :
Total Pages : 1038 pages
Book Rating : 4.3/5 (91 download)
Download or read book Battelle Technical Review written by Battelle Memorial Institute and published by . This book was released on 1960 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Olga S. Rozanova
Publisher : Nova Publishers
ISBN 13 : 9781594543074
Total Pages : 260 pages
Book Rating : 4.5/5 (43 download)
Download or read book Analytical Approaches to Multidimensional Balance Laws written by Olga S. Rozanova and published by Nova Publishers. This book was released on 2006 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is difficult to overestimate the importance of mathematical investigation of balance laws. They arise in many areas of physics, mechanics, chemistry, biology, social sciences. In this collective book we concentrate in particular on the equations of continuous medium and related to them. As a rule, they are very complicated in their primitive form. An important feature of such equations is a possible formation of singularities even in initially smooth solution within a finite time. The structure of the singularities can be very complex. A natural step in the approach to this problem is the transition, despite the three-dimensionality of our world, to spatially one-dimensional model. Significant progress has been achieved in this direction. Unfortunately, the methods of the one-dimensional theory, as usual, cannot be adapted to a case of many spatial variables. However, there are many attempts to deal with multidimensional problems. We would like to present some of them. All of the papers are written by outstanding experts, representing various schools in mathematics and mechanics. Each paper is organised as follows: it contains an elementary (as far as it is possible) introduction to a problem, a brief review of previously published results, and then original results of the authors are presented.
