NDLI: Analytic Solutions to Determine Critical Magnetic Fields for Thermoelectric Magnetohydrodynamics in Alloy Solidification

Content Provider	Springer Nature Link
Author	Kao, Andrew
Copyright Year	2015
Abstract	During alloy solidification, it has been observed that the morphology of microstructures can be altered by applying an external DC magnetic field. This structural change can be attributed to solutal convective transport introduced by thermoelectric magnetohydrodynamics (TEMHD) which drives fluid motion within the inter-dendritic region. Complex numerical models with grid resolutions on the microscopic scale have been constructed to solve the equations governing TEMHD. To complement these computationally intensive numerical models, analytic solutions were sought. Specifically, the analytic solutions presented herein are asymptotic solutions derived for TEMHD under low and high magnetic field intensities. Combination of these asymptotic solutions leads to simple formulae for estimating critical magnetic fields which can be readily evaluated in terms of characteristic lengths of materials that have been identified in experiments as key parameters of critical fields. Indeed, the critical magnetic fields predicted with the asymptotic solutions exhibit magnitudes consistent with those applied in current ongoing experiments where significant changes in microstructure have been observed. The capability to predict accurate results indicates that the analytic solutions described herein are valuable precursors not only for detailed numerical simulations but also for experimental design to study critical magnetic fields in alloy solidification.
Starting Page	4215
Ending Page	4233
Page Count	19
File Format	PDF
ISSN	10735623
Journal	Metallurgical and Materials Transactions A
Volume Number	46
Issue Number	9
e-ISSN	15431940
Language	English
Publisher	Springer US
Publisher Date	2015-07-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Metallic Materials Characterization and Evaluation of Materials Structural Materials Surfaces and Interfaces, Thin Films Nanotechnology
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Metals and Alloys Condensed Matter Physics

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