[PDF] Dynamical Behavior Of Magnetic Fields In A Stratified Convecting Fluid Layer eBook

Author : N. O. Weiss
Publisher : Cambridge University Press
Page : 411 pages
File Size : 26,54 MB
Release : 2014-10-30
Category : Science
ISBN : 1316060381

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The last thirty years have seen great leaps forward in the subject of magnetoconvection. Computational techniques can now explain exotic nonlinear behaviour, transition to chaos and the formation of structures that can be observed on the surface of the Sun. Here, two leading experts present the current state of knowledge of the subject. They provide a mathematical and numerical treatment of the interactions between electrically conducting fluids and magnetic fields that lead to the complex structures and rich behaviour observed on the Sun and other stars, as well as in the interiors of planets like the Earth. The authors' combined analytical and computational approach provides a model for the study of a wide range of related problems. The discussion includes bifurcation theory, chaotic behaviour, pattern formation in two and three dimensions, and applications to geomagnetism and to the properties of sunspots and other features at the solar surface.

Author : Gary A. Glatzmaier
Publisher : Princeton University Press
Page : 326 pages
File Size : 41,4 MB
Release : 2013-11-24
Category : Science
ISBN : 0691141738

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This book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of rotating planets and stars. Using a teaching method perfected in the classroom, Gary Glatzmaier begins by offering a step-by-step guide on how to design codes for simulating nonlinear time-dependent thermal convection in a two-dimensional box using Fourier expansions in the horizontal direction and finite differences in the vertical direction. He then describes how to implement more efficient and accurate numerical methods and more realistic geometries in two and three dimensions. In the third part of the book, Glatzmaier demonstrates how to incorporate more sophisticated physics, including the effects of magnetic field, density stratification, and rotation. Featuring numerous exercises throughout, this is an ideal textbook for students and an essential resource for researchers. Describes how to create codes that simulate the internal dynamics of planets and stars Builds on basic concepts and simple methods Shows how to improve the efficiency and accuracy of the numerical methods Describes more relevant geometries and boundary conditions Demonstrates how to incorporate more sophisticated physics

Author : N. O. Weiss
Publisher : Cambridge University Press
Page : 411 pages
File Size : 11,44 MB
Release : 2014-10-30
Category : Science
ISBN : 052119055X

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Leading experts present the current state of knowledge of the subject of magnetoconvection from the viewpoint of applied mathematics.

Author : Stefan Odenbach
Publisher : Springer Science & Business Media
Page : 155 pages
File Size : 11,85 MB
Release : 2002-01-22
Category : Language Arts & Disciplines
ISBN : 3540430687

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Suspensions of magnetic nanoparticles or ferrofluids can be effectively controlled by magnetic fields, which opens up a fascinating field for basic research into fluid dynamics as well as a host of applications in engineering and medicine. The introductory chapter provides the reader with basic information on the structure, and magnetic and viscous properties of ferrofluids. The bulk of this monograph is based on the author's own research activity and deals with ferrohydrodynamics, especially with the magnetoviscous effects. In particular, the author studies in detail the interparticle interactions so far often neglected but of great importance in concentrated ferrofluids. The basic theory and the most recent experimental findings are presented, making the book interesting reading for physicists or engineers interested in smart materials.