Nonlinear Terms in the Generalized Ohm's Law

Nonlinear Terms in the Generalized Ohm's Law

Author: Noel Stone

Publisher:

Published: 1965

Total Pages: 58

ISBN-13:

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It is shown that a spatial gradient in the steady flow of an ionized gas introduces terms into the generalized Ohm's law that represent an exchange of momentum between the electrons and the gas flow. Depending upon the flow geometry and gas compressibility this electrokinetic exchange can behave like a generator, a Hall current, or a resistive current. The scale of the phenomenon is L = +/V, where V is fluid velocity, + is electron-positive charge collision time. Electrokinetic conditions apply largely at boundaries. In a resistive medium with a static B-field, the principal condition for electron-flow interchange is that magnetic pressure dominate dynamic pressure. At the boundary of a plasma jet the scale over which EK terms are important is of the order of 1 mm. Only geometry and scale considerations are used in the momentum equation. The electrokinetic generation of surface currents is as fundamental for describing moving media as spacecharge effects are in the static case. (Author).


Nonlinear Approaches in Engineering Applications

Nonlinear Approaches in Engineering Applications

Author: Reza N. Jazar

Publisher: Springer

Published: 2019-08-06

Total Pages: 486

ISBN-13: 3030189635

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This book focuses on the latest applications of nonlinear approaches in engineering and addresses a range of scientific problems. Examples focus on issues in automotive technology, including automotive dynamics, control for electric and hybrid vehicles, and autodriver algorithm for autonomous vehicles. Also included are discussions on renewable energy plants, data modeling, driver-aid methods, and low-frequency vibration. Chapters are based on invited contributions from world-class experts who advance the future of engineering by discussing the development of more optimal, accurate, efficient, cost, and energy effective systems. This book is appropriate for researchers, students, and practising engineers who are interested in the applications of nonlinear approaches to solving engineering and science problems. Presents a broad range of practical topics and approaches; Explains approaches to better, safer, and cheaper systems; Emphasises automotive applications, physical meaning, and methodologies.


Introduction to Plasma Physics

Introduction to Plasma Physics

Author: R.J Goldston

Publisher: CRC Press

Published: 2020-07-14

Total Pages: 514

ISBN-13: 9781439822074

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Introduction to Plasma Physics is the standard text for an introductory lecture course on plasma physics. The text's six sections lead readers systematically and comprehensively through the fundamentals of modern plasma physics. Sections on single-particle motion, plasmas as fluids, and collisional processes in plasmas lay the groundwork for a thorough understanding of the subject. The authors take care to place the material in its historical context for a rich understanding of the ideas presented. They also emphasize the importance of medical imaging in radiotherapy, providing a logical link to more advanced works in the area. The text includes problems, tables, and illustrations as well as a thorough index and a complete list of references.


Stellar Magnetism

Stellar Magnetism

Author: Leon Mestel

Publisher: Oxford University Press

Published: 2003-06-05

Total Pages: 664

ISBN-13: 9780198526728

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Most stars show some degree of magnetic activity, from the familiar variations in the Sun's magnetic field, which coincide with the sun-spot cycle, to the enormous magnetic fields created by rotating neutron stars. Magnetic fields are also a potential key to understanding the formation of new stars and the behavior of galactic nuclei. This book by one of the leading figures in stellar magnetism provides an authoritative survey of this rapidly developing field. Based on a lifetime of research, the book places stellar magnetism in a broad astronomical scope and provides a thorough, well-argued treatment of current work. It covers the key topics, discussing the relevant mathematics in detail and including numerous references, and many of the topics, particularly accretion discs, dynamos, and winds, are equally important to the study of galaxies and galactic nuclei.