A mathematical model for the dynamic behavior of melts subjected to electromagnetic forces: Part I. model development and comparison of predictions with published experimental results
 R. Kageyama,
 J. W. Evans
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A mathematical model was developed to predict electromagnetically driven flow and (particularly) free surface behavior in melts subject to electromagnetic forces. Such melts appear in electromagnetic casters, induction furnaces, and other metal processing units. The calculations started with Maxwell’s equations and Ohm’s law, which were solved by a novel “modified hybrid technique.” The instantaneous continuity and NavierStokes equations (rather than their timeaveraged versions) were then solved with electromagrretic forces as input. The calculations allowed for the dynamic behavior of the free surface of the melt, and electromagnetic fields were recomputed as the free surface changed. In this first part of a twopart article, the model predictions are compared with the experimental measurements of induced current, magnetic field, melt velocity, and free surface deformation reported by others.
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 Title
 A mathematical model for the dynamic behavior of melts subjected to electromagnetic forces: Part I. model development and comparison of predictions with published experimental results
 Journal

Metallurgical and Materials Transactions B
Volume 29, Issue 4 , pp 919928
 Cover Date
 19980801
 DOI
 10.1007/s1166399801516
 Print ISSN
 10735615
 Online ISSN
 15431916
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Industry Sectors
 Authors

 R. Kageyama ^{(1)}
 J. W. Evans ^{(2)}
 Author Affiliations

 1. Nippon Steel, 10330, Bangkok, Thailand
 2. the Department of Materials Science and Mineral Engineering, University of California, 94720, Berkeley, CA