Principles Of Magnetohydrodynamics
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Principles Of Magnetohydrodynamics
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Author : J. P. Goedbloed
language : en
Publisher: Cambridge University Press
Release Date : 2004-08-05
Principles Of Magnetohydrodynamics written by J. P. Goedbloed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-05 with Science categories.
This textbook provides a modern and accessible introduction to magnetohydrodynamics (MHD). It describes the two main applications of plasma physics, laboratory research on thermo-nuclear fusion energy and plasma astrophysics of the solar system, stars and accretion disks, from the single viewpoint of MHD. This approach provides effective methods and insights for the interpretation of plasma phenomena on virtually all scales, from the laboratory to the universe. It equips the reader with the necessary tools to understand the complexities of plasma dynamics in extended magnetic structures. The classical MHD model is developed in detail without omitting steps in the derivations and problems are included at the end of each chapter. This text is ideal for senior-level undergraduate and graduate courses in plasma physics and astrophysics.
Advanced Magnetohydrodynamics
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Author : J. P. Goedbloed
language : en
Publisher: Cambridge University Press
Release Date : 2010-04-29
Advanced Magnetohydrodynamics written by J. P. Goedbloed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-29 with Science categories.
Following on from the companion volume Principles of Magnetohydrodynamics, this textbook analyzes the applications of plasma physics to thermonuclear fusion and plasma astrophysics from the single viewpoint of MHD. This approach turns out to be ever more powerful when applied to streaming plasmas (the vast majority of visible matter in the Universe), toroidal plasmas (the most promising approach to fusion energy), and nonlinear dynamics (where it all comes together with modern computational techniques and extreme transonic and relativistic plasma flows). The textbook interweaves theory and explicit calculations of waves and instabilities of streaming plasmas in complex magnetic geometries. It is ideally suited to advanced undergraduate and graduate courses in plasma physics and astrophysics.
Magnetohydrodynamics And Fluid Dynamics Action Principles And Conservation Laws
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Author : Gary Webb
language : en
Publisher: Springer
Release Date : 2018-02-05
Magnetohydrodynamics And Fluid Dynamics Action Principles And Conservation Laws written by Gary Webb and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Science categories.
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.
Magnetohydrodynamics
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Author : J. P. Goedbloed
language : en
Publisher:
Release Date : 2019
Magnetohydrodynamics written by J. P. Goedbloed and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Astrophysics categories.
An Introduction To Plasma Astrophysics And Magnetohydrodynamics
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Author : M. Goossens
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Plasma Astrophysics And Magnetohydrodynamics written by M. Goossens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Principles Of Magnetoplasma Dynamics
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Author : Leslie Colin Woods
language : en
Publisher: Oxford University Press, USA
Release Date : 1987
Principles Of Magnetoplasma Dynamics written by Leslie Colin Woods and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Fluid dynamics categories.
Controlled fusion research explores the properties of man-made plasmas confined in toroidal machines (tokamaks) by intense magnetic fields. Beginning with the elementary principles, the author gives a rigorous and complete demonstration of the theory of magnetoplasmas. He then builds on this base to present a new theory of magnetoplasmas which accounts for many previously inexplicable phenomena of tokamak behavior. He explains the reasons for unexpectedly large heat losses, and raises fundamental questions about whether fusion power will ever be economically viable. Chapters are followed by exercises and notes on the mathematics. This book is be an excellent base for a graduate course on plasma physics, and will interest researchers in both applied and plasma physics.
The Hamilton Type Principle In Fluid Dynamics
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Author : Angel Fierros Palacios
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-18
The Hamilton Type Principle In Fluid Dynamics written by Angel Fierros Palacios and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-18 with Science categories.
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.
Magnetohydrodynamics Of Laboratory And Astrophysical Plasmas
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Author : Hans Goedbloed
language : en
Publisher: Cambridge University Press
Release Date : 2019-01-31
Magnetohydrodynamics Of Laboratory And Astrophysical Plasmas written by Hans Goedbloed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-31 with Science categories.
With ninety per cent of visible matter in the universe existing in the plasma state, an understanding of magnetohydrodynamics is essential for anyone looking to understand solar and astrophysical processes, from stars to accretion discs and galaxies; as well as laboratory applications focused on harnessing controlled fusion energy. This introduction to magnetohydrodynamics brings together the theory of plasma behavior with advanced topics including the applications of plasma physics to thermonuclear fusion and plasma- astrophysics. Topics covered include streaming and toroidal plasmas, nonlinear dynamics, modern computational techniques, incompressible plasma turbulence and extreme transonic and relativistic plasma flows. The numerical techniques needed to apply magnetohydrodynamics are explained, allowing the reader to move from theory to application and exploit the latest algorithmic advances. Bringing together two previous volumes: Principles of Magnetohydrodynamics and Advanced Magnetohydrodynamics, and completely updated with new examples, insights and applications, this volume constitutes a comprehensive reference for students and researchers interested in plasma physics, astrophysics and thermonuclear fusion.
Ideal Magnetohydrodynamics
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Author : Jeffrey P. Freidberg
language : en
Publisher: Plenum Publishing Corporation
Release Date : 1987
Ideal Magnetohydrodynamics written by Jeffrey P. Freidberg and has been published by Plenum Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.
Lectures In Magnetohydrodynamics
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Author : Dalton D. Schnack
language : en
Publisher: Springer
Release Date : 2009-08-11
Lectures In Magnetohydrodynamics written by Dalton D. Schnack and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-11 with Science categories.
Magnetohydrodynamics, or MHD, is a theoretical way of describing the statics and dynamics of electrically conducting uids. The most important of these uids occurring in both nature and the laboratory are ionized gases, called plasmas. These have the simultaneous properties of conducting electricity and being electrically charge neutral on almost all length scales. The study of these gases is called plasma physics. MHD is the poor cousin of plasma physics. It is the simplest theory of plasma dynamics. In most introductory courses, it is usually afforded a short chapter or lecture at most: Alfven ́ waves, the kink mode, and that is it. (Now, on to Landau damping!) In advanced plasma courses, such as those dealing with waves or kinetic theory, it is given an even more cursory treatment, a brief mention on the way to things more profound and interesting. (It is just MHD! Besides, real plasma phy- cists do kinetic theory!) Nonetheless, MHD is an indispensable tool in all applications of plasma physics.