Download or read book Magnetohydrodynamic Shock Relations in Nonaligned Flows written by Y. M. Lynn and published by . This book was released on 1965 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Magnetohydrodynamic Shock Relations in Nonaligned Flows Classic Reprint written by Y. M. Lynn and published by Forgotten Books. This book was released on 2016-08-26 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Magnetohydrodynamic Shock Relations in Nonaligned Flows T s) g. Non - characteristic solutions with ii. Numerical results C. Solution in terms of 5e (=tan(wf-vi)) III. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Magnetohydrodynamic Shock Relations in Nonaligned Flows written by Y Lynn and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking work of mathematical physics, Y. Lynn provides a detailed analysis of the shock relations that arise in magnetohydrodynamic (MHD) flows that are not aligned with the magnetic field. Drawing on advanced techniques from fluid dynamics and electrodynamics, Lynn shows how these complex phenomena can be understood and modeled, with implications for a range of fields including astrophysics, plasmas, and materials science. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Download or read book Linearized Analysis of One Dimensional Magnetohydrodynamic Flows written by Roy M. Gundersen and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetohydrodynamics is concerned with the motion of electrically conducting fluids in the presence of electric or magnetic fields. Un fortunately, the subject has a rather poorly developed experimental basis and because of the difficulties inherent in carrying out controlled laboratory experiments, the theoretical developments, in large measure, have been concerned with finding solutions to rather idealized problems. This lack of experimental basis need not become, however, a multi megohm impedance in the line of progress in the development of a satisfactory scientific theory. While it is true that ultimately a scientific theory must agree with and, in actuality, predict physical phenomena with a reasonable degree of accuracy, such a theory must be sanctioned by its mathematical validity and consistency. Physical phenomena may be expressed precisely and quite comprehensively through the use of differential equations, and the equations formulated by LUNDQUIST and discussed by FRIEDRICHS belong to a class of equations particularly well-understood and extensively studied. This class includes, in fact, many other eminent members, the solutions of which have led to results of far-reaching scientific and technological application. Frequently, the mathematical analysis has provided the foundations and guidance necessary for further developments, and, reciprocally, the physical problems have provided, in many cases, the impetus for the development of new mathematical theories which often have evolved to an a priori unpredictable extent.

Download or read book Moderately Strong Oblique Shocks and Simple Waves in Steady Magnetohydrodynamic Flow Classic Reprint written by Y. M. Lynn and published by Forgotten Books. This book was released on 2018-02-03 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Moderately Strong Oblique Shocks and Simple Waves in Steady Magnetohydrodynamic Flow Entire or a part of the flow regime is of hyperbolic character which can be solved by means of shocks and simple waves. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Propagation of Magnetohydrodynamic Waves Without Radial Attenuation written by Harold Grad and published by Forgotten Books. This book was released on 2018-02-05 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Propagation of Magnetohydrodynamic Waves Without Radial Attenuation: January 15, 1959 Since this system of equations is hyperbolic, its solu tions can be described in terms of the propagation of waveso As in the case of the ordinary wave equation, one can investi gate a simplified problem, viz. The propagation of wave fronts and, associated with this, one can construct a theory of ray optic3[l/ Ah important point to realize is that the first order (hamilton-jacobi) partial differential equation which governs the behaviour of wave fronts does not describe the entire content of the second order wave equations In particular, there may be a complicated non-steady flow left behind a wave front propagating into still air, and this residue can only be analyzed by the use of the full wave equation. The situation is more complicated in the magnetohydrodynamic case where there are, in general. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Magnetohydrodynamic Nozzle Flow With Three Transitions Classic Reprint written by C. K. Chu and published by Forgotten Books. This book was released on 2016-08-26 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Magnetohydrodynamic Nozzle Flow With Three Transitions This paper gives a formal power series solution (near the axis of symmetry) for the plane nozzle flow of an infinitely conducting inviscid gas with a magnetic field everywhere parallel to the flow velocity. The gas expands from near-reservoir condi tions to supersonic velocities in the nozzle. When an ordinary non-conducting gas expands from rest to supersonic velocities in a de Laval nozzle, it is well-known that the gas crosses a sonic transition (near the throat of the nozzle), upstream of which the flow is subsonic and governed by an elliptic differential equation, and downstream of which the flow is supersonic and governed by a hyperbolic differential equation. Moreover, we know that such a flow is stable, whereas the reverse flow (i.e. Supersonic flow slowing down to subsonic flow through continuous compression) is unstable, and thus occurs physically only when accompanied by shocks. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Magnetohydrodynamic Flow Past a Thin Airfoil Classic Reprint written by E. Cumberbatch and published by Forgotten Books. This book was released on 2018-02-10 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Magnetohydrodynamic Flow Past a Thin Airfoil The solution, however, is not unique and in Section 4 an uniqueness condition analogous to the kutta-joukowsky condition is proposed.(4) Similar to subsonic fluid dynamics, functions may be added which are singular at the ends of the body, by which means the singularity at either end of the body may be suppressed. The dual nature of the hyperliptic regime is evident in the fact that the singularities on the body are also propagated into the fluid along the real characteristics, and this feature is used to determine a physically acceptable uniqueness condition. The condition proposed ensures the square integrability of the flow variables over any region of the fluid. The line singularities remaining in the solution result from a breakdown of the linear analysis used and the solutions in the neighborhood of these singularities may not provide good pointwise approximations to the correct solution. On the other hand, they may give an indication of the formation of shocks. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book One dimensional Compressible Flows of Magneto hydrodynamics written by O. G. Owens and published by . This book was released on 1955 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Magnetohydrodynamics and Fluid Dynamics Action Principles and Conservation Laws written by Gary Webb and published by Springer. This book was released on 2018-02-05 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on conservation laws in magnetohydrodynamics, gasdynamics and hydrodynamics. A grasp of new conservation laws is essential in fusion and space plasmas, as well as in geophysical fluid dynamics; they can be used to test numerical codes, or to reveal new aspects of the underlying physics, e.g., by identifying the time history of the fluid elements as an important key to understanding fluid vorticity or in investigating the stability of steady flows. The ten Galilean Lie point symmetries of the fundamental action discussed in this book give rise to the conservation of energy, momentum, angular momentum and center of mass conservation laws via Noether’s first theorem. The advected invariants are related to fluid relabeling symmetries – so-called diffeomorphisms associated with the Lagrangian map – and are obtained by applying the Euler-Poincare approach to Noether’s second theorem. The book discusses several variants of helicity including kinetic helicity, cross helicity, magnetic helicity, Ertels’ theorem and potential vorticity, the Hollman invariant, and the Godbillon Vey invariant. The book develops the non-canonical Hamiltonian approach to MHD using the non-canonical Poisson bracket, while also refining the multisymplectic approach to ideal MHD and obtaining novel nonlocal conservation laws. It also briefly discusses Anco and Bluman’s direct method for deriving conservation laws. A range of examples is used to illustrate topological invariants in MHD and fluid dynamics, including the Hopf invariant, the Calugareanu invariant, the Taylor magnetic helicity reconnection hypothesis for magnetic fields in highly conducting plasmas, and the magnetic helicity of Alfvén simple waves, MHD topological solitons, and the Parker Archimedean spiral magnetic field. The Lagrangian map is used to obtain a class of solutions for incompressible MHD. The Aharonov-Bohm interpretation of magnetic helicity and cross helicity is discussed. In closing, examples of magnetosonic N-waves are used to illustrate the role of the wave number and group velocity concepts for MHD waves. This self-contained and pedagogical guide to the fundamentals will benefit postgraduate-level newcomers and seasoned researchers alike.

Download or read book Magneto Hydrodynamic Shock Structure Without Collisions Classic Reprint written by Cathleen S. Morawetz and published by Forgotten Books. This book was released on 2016-08-05 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Magneto-Hydrodynamic Shock Structure Without Collisions In this report we present a method for studying the internal structure of a magneto-hydrodynamic shock in which, in contrast to earlier theories, there are no collisions among the plasma particles. The theory yields us two distinct situations. In the first case, there is no shock. The ions and electrons pass through a region of changing magnetic and electric field and eventually they return to the state from which they started. In the second case, there is a definite change of state. Within the approximation we obtain a qualitative picture of the shock. The magnetic field rises and then oscillates with a characteristic wave length about a mean value greater than its initial value. The distribution function of the ions is greatly distorted. The approximation is based on an asymptotic development in the ion to electron mass ratio. It is valid over distances that are comparable to or even large compared to the wave length of the oscillation but small compared to the ion Larmor radius. Thus it is quite possible that an improvement in the range of validity of the approximation would show that the oscillation is damped out on a length scale comparable to the ion Larmor radius) and that a classical shock exists. However, the change of state shows that an irrevers ible process has been demonstrated to be possible without collisions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Magneto Hydrodynamic Shock Structure Without Collisions written by Cathleen S. Morawetz and published by Sagwan Press. This book was released on 2018-02-07 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Download or read book The Stability of a Particular Mhd Equilibrium With Flow Classic Reprint written by Eliezer Hameiri and published by Forgotten Books. This book was released on 2018-02-11 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Stability of a Particular Mhd Equilibrium With Flow In this work we consider equilibria with magnetic fields having toroidal as well as poloidal components, and flows having axial and azimuthal components. The price we pay for this generality is in being unable to conclude categorically whether a system is stable or not, but we have to focus our attention on parts of the spectrum. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Some Aspects of Magnetohydrodynamic Flow about a Blunt Body written by Brian P. Leonard and published by . This book was released on 1961 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic body forces are nonconservative. The effects of such forces are studied here in the case of inviscid incompressible flow about a blunt body. The nonlinear simultaneous partial differential equations describing the flow can be solved in various regimes corresponding to certain values of two parameters: RM, the magnetic Reynolds number, and A where A to the -1/2 power is the Alfven number. For the case of small Rm, and small magnetic force coefficient, S, equations can be derived which are linear and independent. These are solved for some particular unsteady flows, and the results show that, in these cases, vorticity is introduced in such a way that it is independent of time. The equations are linearized by using the velocity field of ordinary hydrodynamics (OHD) in the convective derivatives. This technique is valid for all Rm provided either A or S is small. For large Rm, it results in a solution showing a boundary-layer character. Two results are of interest: First, the appearance of the downstream non-diffusive trail of vorticity in the small Rm, small S case; Secondly, the fact that for all cases studied the region of significant current density is close to the body, and any wake-like effect is either highly diffusive (small Rm) or extremely weak (large Rm). (Author).

Download or read book Hyperliptic Magnetohydrodynamic Steady Flow Past a Point Source written by Stanley Friedlander and published by Forgotten Books. This book was released on 2017-12-21 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Hyperliptic Magnetohydrodynamic Steady Flow Past a Point Source: March 1970 New dependent variables are introduced which separate the flow into transverse and compressive components. The transverse component is propagated one - dimensionally with the Alfven velocity. The determination of the compressive component is reduced to finding the fundamental solution of a fourth order homogeneous differential equation with constant coefficients. The solution is required to satisfy smoothness and causality conditions and a condition on the growth at infinity. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Magnetohydrodynamics Waves and Shock Waves in Curved Space Time written by A. Lichnerowicz and published by Springer. This book was released on 1994-04-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a unified theory of shock waves corresponding to gravitational and electromagnetic fields and to magnetohydrodynamics in the context of general relativity. The common tool employed is provided by tensor distribution -- an approach which has been systematically developed by the author since 1962. One remarkable result is that this yields a complete theory of magnetohydrodynamic shock waves, which can also be applied to the treatment of pulsars. The same method is also applicable to the quantization of some physical fields in curved space-time. This, too, is discussed in the book. For graduate students and researchers in mathematical physics and theoretical astrophysics.

Download or read book Stability of Strong Discontinuities in Magnetohydrodynamics and Electrohydrodynamics written by Aleksandr Mikhaĭlovich Blokhin and published by Nova Biomedical Books. This book was released on 2003 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph examines multidimensional stability of strong discontinuities (e.g. shock waves) for systems of conservation laws and surveys the author's results for models of ideal magnetohydrodynamics (classical, 'pressure anisotropic', relativistic) and electrohydrodynamics. The primary attention is concentrated on linearised stability analysis, especially on the issue of uniform stability in the sense of the uniform Kreiss-Lopatinski condition. A so-called 'equational' approach based on obtaining, by the dissipative integrals technique, a priori estimates without loss of smoothness for corresponding linearised stability problems in the domains of uniform stability is described. Recent results for ideal models of MHD (classical MHD, 'pressure anisotropic' MHD of Chew, Goldberger and Low, relativistic MHD) and also for a certain non-hyperbolic model are presented as the system of electrohydrodynamics (EHD).