Author: Roy M. Gundersen
Publisher: Springer Science & Business Media
Published: 2013-04-09
Total Pages: 144
ISBN-13: 3642460054
DOWNLOAD EBOOK →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.
Author: Kurt Friedrichs
Publisher: Рипол Классик
Published: 1958
Total Pages: 63
ISBN-13: 5880719758
DOWNLOAD EBOOK →Author: Eric P. Salathe
Publisher:
Published: 1966
Total Pages: 53
ISBN-13:
DOWNLOAD EBOOK →Linearized steady two-dimensional compressible magnetohydrodynamics is considered. No restruction on the gas law or on the field orientations is made. Thin body flow problems are solved for all flow field regimes (e.g. doubly hyperbolic, hyperliptic). The method of solution is based on replacing material walls by surfaces of discontinuity. The discontinuous forms of magnetohydrodynamic equations are derived in full generality. It is then shown that the solution to any problem may be represented in terms of the fundamental solution. The latter is obtained in closed form for all regimes. The final solution is then reduced to a single integral equation which may be solved in all cases. (Author).
Author: Julian D. Cole
Publisher:
Published: 1959
Total Pages: 19
ISBN-13:
DOWNLOAD EBOOK →The one-dimensional steady flow of a compressible inviscid conducting gas through a transverse magnetic field is characterized by a single non-dimensional plot, independent of conductivity. The coordinates are the magnetic field strength and the fluid flow velocity; parameters which characterize events are the entrance Mach number, constant electric field, and the ratio of magnetic energy density to initial flow kinetic-energy density (the magnetic pressure number). (Author).
Author: United States. Dept. of Commerce. Office of Technical Services
Publisher:
Published:
Total Pages: 600
ISBN-13:
DOWNLOAD EBOOK →Author: Julian L. Davis
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 303
ISBN-13: 1461232848
DOWNLOAD EBOOK →This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.