Principles of Magnetohydrodynamics

Polovin & Demutskii , Fundamentals of Magnetohydrodynamics [ 187 ] is an introduction of the various aspects of MHD , written in the lucid style of the great Russian theoreticians . Biskamp , Nonlinear Magnetohydrodynamics [ 29 ] is a ...

Author: J. P. Hans Goedbloed

Publisher: Cambridge University Press

ISBN: 0521626072

Category: Science

Page: 613

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Senior undergraduate and graduate textbook on key area in plasma physics and astrophysics.
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Fundamentals of Magnetohydrodynamics

A. V. Tananaev , Hydraulics of MHD Devices ( in Russian ) , Atomizdat , Moscow ( 1970 ) . 25. E. I. Yantovskii , Magnetohydrodynamics 5 , No. 2 , 17 ( 1972 ) . 26. K. M. Aref'ev and I. I. Paleev , Foundations of Thermoelectric and ...

Author: R.V. Polovin

Publisher: Springer

ISBN: UOM:39015016948765

Category: Science

Page: 360

View: 554

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A text for teachers and students in experimental physics and research engineering, introducing the ideas of magnetohydrodynamics (MHD), showing the methods used in MHD, and preparing students for reading the original literature. Based on the mathematical study of simplified models. Annotation copyri
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Magnetohydrodynamics

Polovin and Demutskii, Fundamentals of Magnetohydrodynamics [502] is an introduction to MHD, written in the lucid style of the great Russian theoreticians. Tokamaks – Wesson, Tokamaks [647] is a veritable encyclopedia of the plasma ...

Author: Hans Goedbloed

Publisher: Cambridge University Press

ISBN: 9781107123922

Category: Science

Page: 994

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An introduction to magnetohydrodynamics combining theory with advanced topics including the applications of plasma physics to thermonuclear fusion and plasma astrophysics.
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An Introduction to Plasma Astrophysics and Magnetohydrodynamics

R.V. Polovin and V.P. Demutskii, “Fundamentals of Magnetohydrodynamics”, translated from Russian by D. ter Haar, ... G. L. Siscoe, “Solar System Magnetohydrodynamics”, in “Solar-Terrestrial Physics, Principles and Theoretical ...

Author: M. Goossens

Publisher: Springer Science & Business Media

ISBN: 9789400710764

Category: Science

Page: 203

View: 838

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Most of the visible matter in the universe exists in the plasma state. Plasmas are of major importance for space physics, solar physics, and astrophysics. On Earth they are essential for magnetic controlled thermonuclear fusion. This textbook collects lecture notes from a one-semester course taught at the K.U. Leuven to advanced undergraduate students in applied mathematics and physics. A particular strength of this book is that it provides a low threshold introduction to plasmas with an emphasis on first principles and fundamental concepts and properties. The discussion of plasma models is to a large extent limited to Magnetohydrodynamics (MHD) with its merits and limitations clearly explained. MHD provides the students on their first encounter with plasmas, with a powerful plasma model that they can link to familiar classic fluid dynamics. The solar wind is studied as an example of hydrodynamics and MHD at work in solar physics and astrophysics.
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An Introduction to Magnetohydrodynamics

The Fundamentals of MHD Nothing can be more fatal to progress than a too confident reliance on mathematical symbols ; for the student is only too apt to take the easier course , and consider the formula and not the fact as the physical ...

Author: P. A. Davidson

Publisher: Cambridge University Press

ISBN: 0521794870

Category: Mathematics

Page: 431

View: 526

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This book is an introductory text on magnetohydrodynamics (MHD) - the study of the interaction of magnetic fields and conducting fluids.
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Fundamental Fluid Mechanics and Magnetohydrodynamics

H. Goedbloed, S. Poedts, Principles of Magnetohydrodynamics (Cambridge University Press, Cambridge, 2004). (Graduate textbook emphasising the physical background and detailed development of the ...

Author: Roger J. Hosking

Publisher: Springer

ISBN: 9789812876003

Category: Technology & Engineering

Page: 279

View: 753

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This book is primarily intended to enable postgraduate research students to enhance their understanding and expertise in Fluid Mechanics and Magnetohydrodynamics (MHD), subjects no longer treated in isolation. The exercises throughout the book often serve to provide additional and quite significant knowledge or to develop selected mathematical skills, and may also fill in certain details or enhance readers’ understanding of essential concepts. A previous background or some preliminary reading in either of the two core subjects would be advantageous, and prior knowledge of multivariate calculus and differential equations is expected.
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Fundamentals of Numerical Magnetohydrodynamics

Magnetohydrodynamics is a fluid model for the motion of an ionized gas in a magnetic field. In its ideal, non-dissipative form, the Lundquist equations, it has the same mathematical character as the model for gas dynamics.

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Publisher:

ISBN: OCLC:727296870

Category:

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Magnetohydrodynamics is a fluid model for the motion of an ionized gas in a magnetic field. In its ideal, non-dissipative form, the Lundquist equations, it has the same mathematical character as the model for gas dynamics. It gives, in the same way, a self-consistent description of the fluid dynamics, including the exchange of momentum and energy between the field and the fluid. However, because of the greater complexity of the physics which they describe, some aspects of the solutions are quite different. The magnetic field introduces a strong anisotropic character to the medium which causes wave propagation to depend on the direction of propagation with respect of the magnetic field. In addition, there are several distinct speeds so that, in general, the responses to disturbances are quite complex. To capture the principal features of the solutions in numerical calculations, several problems must be addressed. Some of these problems are unique to MHD: for example, preserving the solenoidality of the magnetic field. Others are similar to ordinary gas dynamics, such as energy conservation, numerical stability, and computational diffusion, but are more complex or have different consequences for MHD than for ordinary fluid flow. These fundamental problems in the numerical solution of the MHD equations are discussed as four topics: the dispersion of the Lundquist equations and the dispersion and stability of finite difference approximations; the conservation laws of MHD and the achievement of conservation in the numerical solutions; a discussion of convective transport and its role in computational diffusion; and finally, a method for preserving the solenoidality of the magnetic field.
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Magnetohydrodynamics and Fluid Dynamics Action Principles and Conservation Laws

This text focuses on conservation laws in magnetohydrodynamics, gasdynamics and hydrodynamics.

Author: Gary Webb

Publisher: Springer

ISBN: 9783319725116

Category: Science

Page: 301

View: 603

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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.
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Plasma Physics and Magnetohydrodynamics

... basic theory of magnetohydrodynamic ( MHD ) generators , the characteristics of such devices , and the electrical properties of gases . Shock tube experiments which demonstrate some of the fundamentals of MHD flow are described .

Author: Defense Documentation Center (U.S.)

Publisher:

ISBN: SRLF:D0000733204

Category: Magnetohydrodynamics

Page: 267

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The Hamilton Type Principle in Fluid Dynamics

The book describes Fluid Dynamics, Magnetohydrodynamics, and Classical Thermodynamics as branches of Lagrange’s Analytical Mechanics.

Author: Angel Fierros Palacios

Publisher: Springer Science & Business Media

ISBN: 9783211343241

Category: Science

Page: 404

View: 737

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The book describes Fluid Dynamics, Magnetohydrodynamics, and Classical Thermodynamics as branches of Lagrange’s Analytical Mechanics. The approach presented is markedly different from the treatment given to them in traditional text books. A Hamilton-Type Variational Principle as the proper mathematical technique for the theoretical description of the dynamic state of any fluid is formulated. The scheme is completed proposing a new group of variations regarding the evolution parameter.
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