Mathematical models for eddy currents and magnetostatics [electronic resource] : with selected applications / Rachid Touzani, Jacques Rappaz.
Touzani, Rachid, author.; Rappaz, Jacques, 1947-, author.
2013
TA357.5.T87
Available Online

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Title Mathematical models for eddy currents and magnetostatics [electronic resource] : with selected applications / Rachid Touzani, Jacques Rappaz.
Author Touzani, Rachid, author.
ISBN 9789400702028 electronic book
9400702027 electronic book
9789400702011
DOI https://doi.org/10.1007/978-94-007-0202-8
Published Dordrecht : Springer, [2013?]
Copyright ©2014
Language English
Description 1 online resource (xii, 305 pages) : illustrations (some color).
Item Number 10.1007/978-94-007-0202-8 doi
Call Number TA357.5.T87
Dewey Decimal Classification 551.46/2015118
Summary This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on online resource; title from PDF title page (SpringerLink, viewed October 7, 2013).
Added Author Rappaz, Jacques, 1947-, author.
Series Scientific computation, 1434-8322
Linked Resources Online Access
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Part I. Eddy Current Models
Mathematical framework
Maxwell and eddy current equations
Two-dimensional models
Three-dimensional models
Axisymmetric setting
Eddy current models with thin inductors
Numerical Methods
Part II. Selected Applications
Induction Heating Processes
Magnetohydrodynamics and Magnetic Shaping
Inductively coupled plasma torches
Ferromagnetic Shielding
The electrolytic process for aluminium production.

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