Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws

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Publisher : Springer
ISBN 13 : 3319725114
Total Pages : 301 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws by : Gary Webb

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 301 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.

The Hamilton-Type Principle in Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3211343245
Total Pages : 426 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis The Hamilton-Type Principle in Fluid Dynamics by : Angel Fierros Palacios

Download or read book The Hamilton-Type Principle in Fluid Dynamics written by Angel Fierros Palacios and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer Science & Business Media
ISBN 13 : 9401578834
Total Pages : 333 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Magnetohydrodynamics by : R.J. Moreau

Download or read book Magnetohydrodynamics written by R.J. Moreau and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Magnetohydrodynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521794879
Total Pages : 456 pages
Book Rating : 4.7/5 (948 download)

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Book Synopsis An Introduction to Magnetohydrodynamics by : P. A. Davidson

Download or read book An Introduction to Magnetohydrodynamics written by P. A. Davidson and published by Cambridge University Press. This book was released on 2001-03-05 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text on magnetohydrodynamics (MHD) - the study of the interaction of magnetic fields and conducting fluids.

Magnetohydrodynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402048335
Total Pages : 408 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Magnetohydrodynamics by : Sergei S. Molokov

Download or read book Magnetohydrodynamics written by Sergei S. Molokov and published by Springer Science & Business Media. This book was released on 2007-08-26 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book revises the evolution of ideas in various branches of magnetohydrodynamics (astrophysics, earth and solar dynamos, pinch, MHD turbulence and liquid metals) and reviews current trends and challenges. Uniquely, it contains the review articles on the development of the subject by pioneers in the field as well as leading experts, not just in one, but in various branches of magnetohydrodynamics, such as liquid metals, astrophysics, dynamo and pinch.

Symmetries and Applications of Differential Equations

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Publisher : Springer Nature
ISBN 13 : 981164683X
Total Pages : 287 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Symmetries and Applications of Differential Equations by : Albert C. J. Luo

Download or read book Symmetries and Applications of Differential Equations written by Albert C. J. Luo and published by Springer Nature. This book was released on 2021-12-14 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include: -- Approximate symmetry in nonlinear physical problems -- Complex methods for Lie symmetry analysis -- Lie group classification, Symmetry analysis, and conservation laws -- Conservative difference schemes -- Hamiltonian structure and conservation laws of three-dimensional linear elasticity -- Involutive systems of partial differential equations This collection of works is written in memory of Professor Nail H. Ibragimov (1939–2018). It could be used as a reference book in differential equations in mathematics, mechanical, and electrical engineering.

Fundamental Fluid Mechanics and Magnetohydrodynamics

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Publisher : Springer
ISBN 13 : 9812876006
Total Pages : 279 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Fundamental Fluid Mechanics and Magnetohydrodynamics by : Roger J. Hosking

Download or read book Fundamental Fluid Mechanics and Magnetohydrodynamics written by Roger J. Hosking and published by Springer. This book was released on 2015-10-19 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fundamentals of Magnetohydrodynamics

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Publisher : Springer
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fundamentals of Magnetohydrodynamics by : R.V. Polovin

Download or read book Fundamentals of Magnetohydrodynamics written by R.V. Polovin and published by Springer. This book was released on 1990-01-31 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Magnetohydrodynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783211836866
Total Pages : 176 pages
Book Rating : 4.8/5 (368 download)

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Book Synopsis Magnetohydrodynamics by : Peter A. Davidson

Download or read book Magnetohydrodynamics written by Peter A. Davidson and published by Springer Science & Business Media. This book was released on 2002-07-30 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to terrestial magnetohydrodynamics. It is a compendium of introductory lectures by experts in the field, focussing on applications in industry and the laboratory. A concise overview of the subject with references to further study.

Introduction to Magnetohydrodynamics

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Publisher : Cambridge University Press
ISBN 13 : 1107160162
Total Pages : 575 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Magnetohydrodynamics by : P. A. Davidson

Download or read book Introduction to Magnetohydrodynamics written by P. A. Davidson and published by Cambridge University Press. This book was released on 2016-12-22 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive textbook prioritising physical ideas over mathematical detail. New material includes fusion plasma magnetohydrodynamics.

Magnetofluid Dynamics for Engineers and Applied Physicists

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Publisher : Scripta Book Company
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Magnetofluid Dynamics for Engineers and Applied Physicists by : Kenneth R. Cramer

Download or read book Magnetofluid Dynamics for Engineers and Applied Physicists written by Kenneth R. Cramer and published by Scripta Book Company. This book was released on 1973 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magnetohydrodynamics with Hydrodynamics

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Publisher : Elsevier
ISBN 13 : 1483185214
Total Pages : 192 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Magnetohydrodynamics with Hydrodynamics by : Peter C. Kendall

Download or read book Magnetohydrodynamics with Hydrodynamics written by Peter C. Kendall and published by Elsevier. This book was released on 2013-09-03 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetohydrodynamics with Hydrodynamics, Volume 1 details various concepts in magnetohydrodynamics as it relates to hydrodynamics. The title first covers the methods and techniques appropriate to an elementary discussion of magnetohydrodynamics, and then proceeds to tackling the fundamental results of fluid dynamics. Next, the selection discusses the electromagnetic effects, along with the motion of a fluid in a uniform magnetic field. In the last chapter, the text talks about steady states and equilibrium configuration. The book will be of great interest to students, researchers, and practitioners of physics and engineering.

Magnetohydrodynamics

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Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Magnetohydrodynamics by : Peter Calvin Kendall

Download or read book Magnetohydrodynamics written by Peter Calvin Kendall and published by . This book was released on 1964 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Magnetohydrodynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521599184
Total Pages : 400 pages
Book Rating : 4.5/5 (991 download)

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Book Synopsis Nonlinear Magnetohydrodynamics by : D. Biskamp

Download or read book Nonlinear Magnetohydrodynamics written by D. Biskamp and published by Cambridge University Press. This book was released on 1997-07-17 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to magnetohydrodynamics with emphasis on nonlinear processes.

A Textbook of Magnetohydrodynamics

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Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Textbook of Magnetohydrodynamics by : John Arthur Shercliff

Download or read book A Textbook of Magnetohydrodynamics written by John Arthur Shercliff and published by . This book was released on 1965 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fluid Dynamics

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Publisher : OUP Oxford
ISBN 13 : 0191503967
Total Pages : 336 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Fluid Dynamics by : Anatoly I. Ruban

Download or read book Fluid Dynamics written by Anatoly I. Ruban and published by OUP Oxford. This book was released on 2014-05-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book in a four-part series designed to give a comprehensive and coherent description of Fluid Dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. The present Part 1 consists of four chapters. Chapter 1 begins with a discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy. We then analyse the forces acting inside a fluid, and deduce the Navier-Stokes equations for incompressible and compressible fluids in Cartesian and curvilinear coordinates. In Chapter 2 we study the properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk. Chapter 3 is devoted to the inviscid incompressible flow theory, with particular focus on two-dimensional potential flows. These can be described in terms of the "complex potential", allowing the full power of the theory of functions of complex variables to be used. We discuss in detail the method of conformal mapping, which is then used to study various flows of interest, including the flows past Joukovskii aerofoils. The final Chapter 4 is concerned with compressible flows of perfect gas, including supersonic flows. Particular attention is given to the theory of characteristics, which is used, for example, to analyse the Prandtl-Meyer flow over a body surface bend and a corner. Significant attention is also devoted to the shock waves. The chapter concludes with analysis of unsteady flows, including the theory of blast waves.

An Introduction to Magnetohydrodynamics

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Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Magnetohydrodynamics by : Paul Harry Roberts

Download or read book An Introduction to Magnetohydrodynamics written by Paul Harry Roberts and published by . This book was released on 1967 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: