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Book Shock Wave Structure in a Fully Ionized Gas Based on Multi component Fluid Theory

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).

Book The Structure of Shock Waves in Magnetohydrodynamics

Download or read book The Structure of Shock Waves in Magnetohydrodynamics written by Mahmud Hesaaraki and published by American Mathematical Soc.. This book was released on 1984 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the presence of magnetic induction and electrical fields several types of discontinuities may exist in an electrically conducting fluid. These phenomena can be described by the laws of conservation of mass, momentum, and energy; Maxwell's electromagnetic equations, and Ohm's law. Those discontinuities, which can be characterized by the conditions that both the temperature and density change across them are different from zero, are called magneto-hydrodynamic shock waves. This monograph is concerned with the study of these types of discontinuities.

Book Magnetohydrodynamics Waves and Shock Waves in Curved Space Time

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.

Book On the Structure of Magnetohydrodynamic Shock Waves

Download or read book On the Structure of Magnetohydrodynamic Shock Waves written by Joel A. Smoller and published by . This book was released on 1974 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fast and slow magnetohydrodynamic shock waves of arbitrary strength, for general equations of state and for arbitrary non-zero viscosity matrix, are shown to possess structure. (Author).

Book Advances in the Theory of Shock Waves

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.

Book Structures of Magnetohydrodynamic Shock Wave

Download or read book Structures of Magnetohydrodynamic Shock Wave written by Chung Kuang Liu and published by . This book was released on 1967 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Selected Topics In Shock Wave Physics And Equation Of State Modeling

Download or read book Selected Topics In Shock Wave Physics And Equation Of State Modeling written by G Roger Gathers and published by World Scientific. This book was released on 1994-04-28 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals primarily with the basic concepts used in shock wave physics for measuring the equation of state of materials for high pressures. It provides considerably more detail in the development of the material than any competing book. The material on EOS modeling describes the basic physics models used and the form they take in hydrocodes. The models chosen are selected to show the wide variety of treatments. Written for teaching seminars, the book should benefit graduate students and interested physicists and engineers engaged in impact physics.

Book Magnetohydrodynamics

Download or read book Magnetohydrodynamics written by Alan Jeffrey and published by . This book was released on 1966 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Magnetohydrodynamic Shock Waves

Download or read book Magnetohydrodynamic Shock Waves written by J. Edward Anderson and published by Mit Press. This book was released on 2003-02 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies based on the Rankine-Hugoniot relations have classified MHO shock waves as fast, switch-on, intermediate, switch-off, and slow. Any waves found in nature must also: (a) possess steady-state structures and (b) be stable in the presence of small-flow disturbances. In this monograph, Dr. Anderson examines these criteria in relation to plane shocks for which the collision frequency is large compared with cyclotron frequency. It contains a three-dimensional graphic representation of shock end states and presents an exact solution for the shock adiabatic curve in a convenient form. An MIT Press Research Monograph.

Book Experiments on Transverse Ionizing Mhd Shock Waves

Download or read book Experiments on Transverse Ionizing Mhd Shock Waves written by Charles Fleming Stebbins and published by . This book was released on 1967 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The jump conditions across a transverse ionizing MHD shock wave, where the magnetic field is in the plane of the shock, are examined. The simple conservation laws, in conjunction with Maxwell's laws and the equation of a state, yield three jump equations in four unknowns. The ionizing wave, then, requires an additional descriptive relationship for a unique solution to the jump equations to exist. Several theories which attempt to supply this missing relationship are examined including the theory of Lyubimov and Kulikovskii and later, Chu, where the internal structure of the shock, itself, supplies the missing relationship. In particular, Lyubimov and Kulikovskii show, for appropriate ratios of the thermal diffusivity to the magnetic diffusivity, that for low speed shock waves the magnetic field compression across the shock is unity and the jump equations reduce to the ordinary Rankine-Hugoniot relations. For high speed shock waves, the magnetic field compression is equal to the gas compression across the wave, and the jump equations became exactly the magnetohydrodynamic jump relations. Furthermore, intermediate speed shocks experience a magnetic field compression between 1 and rho sub 2/rho sub 1. (Author).

Book Shock Waves and Reaction Diffusion Equations

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.

Book An Approximate Riemann Solver for Magnetohydrodynamics That Works in More Than One Dimension

Download or read book An Approximate Riemann Solver for Magnetohydrodynamics That Works in More Than One Dimension written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-16 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approximate Riemann solver is developed for the governing equations of ideal magnetohydrodynamics (MHD). The Riemann solver has an eight-wave structure, where seven of the waves are those used in previous work on upwind schemes for MHD, and the eighth wave is related to the divergence of the magnetic field. The structure of the eighth wave is not immediately obvious from the governing equations as they are usually written, but arises from a modification of the equations that is presented in this paper. The addition of the eighth wave allows multidimensional MHD problems to be solved without the use of staggered grids or a projection scheme, one or the other of which was necessary in previous work on upwind schemes for MHD. A test problem made up of a shock tube with rotated initial conditions is solved to show that the two-dimensional code yields answers consistent with the one-dimensional methods developed previously. Powell, Kenneth G. Unspecified Center AD-280296, NASA-CR-194902, NAS 1.26:194902, ICASE-94-24 NAS1-19480; RTOP 505-90-52-01...