Magnetohydrodynamics And Fluid Dynamics Action Principles And Conservation Laws

Author : Gary Webb
Publisher : Springer
ISBN 13 : 3319725114
Total Pages : 301 pages
Book Rating : 4.16/5 ( download)

DOWNLOAD NOW!

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.

Author : Angel Fierros Palacios
Publisher : Springer Science & Business Media
ISBN 13 : 3211343245
Total Pages : 426 pages
Book Rating : 4.41/5 ( download)

DOWNLOAD NOW!

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.

Author : R.J. Moreau
Publisher : Springer Science & Business Media
ISBN 13 : 9401578834
Total Pages : 333 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!

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:

Author : Roger J. Hosking
Publisher : Springer
ISBN 13 : 9812876006
Total Pages : 288 pages
Book Rating : 4.03/5 ( download)

DOWNLOAD NOW!

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 288 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.

Author : Dalton D. Schnack
Publisher : Springer
ISBN 13 : 3642006884
Total Pages : 317 pages
Book Rating : 4.83/5 ( download)

DOWNLOAD NOW!

Download or read book Lectures in Magnetohydrodynamics written by Dalton D. Schnack and published by Springer. This book was released on 2009-08-11 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Sergei S. Molokov
Publisher : Springer Science & Business Media
ISBN 13 : 1402048335
Total Pages : 408 pages
Book Rating : 4.33/5 ( download)

DOWNLOAD NOW!

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.

Author : Albert C. J. Luo
Publisher : Springer Nature
ISBN 13 : 981164683X
Total Pages : 287 pages
Book Rating : 4.36/5 ( download)

DOWNLOAD NOW!

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.

Author : P. A. Davidson
Publisher : Cambridge University Press
ISBN 13 : 9780521794879
Total Pages : 456 pages
Book Rating : 4.70/5 ( download)

DOWNLOAD NOW!

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.

Author : Peter A. Davidson
Publisher : Springer Science & Business Media
ISBN 13 : 9783211836866
Total Pages : 176 pages
Book Rating : 4.61/5 ( download)

DOWNLOAD NOW!

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.

Author : Kenneth R. Cramer
Publisher : Scripta Book Company
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.74/5 ( download)

DOWNLOAD NOW!

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: