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Analytic solutions to determine critical magnetic fields for thermoelectric magnetohydrodynamics in alloy solidification

Analytic solutions to determine critical magnetic fields for thermoelectric magnetohydrodynamics in alloy solidification

Kao, Andrew ORCID: 0000-0002-6430-2134 (2015) Analytic solutions to determine critical magnetic fields for thermoelectric magnetohydrodynamics in alloy solidification. Metallurgical and Materials Transactions A, 46A (9). pp. 4215-4233. ISSN 1073-5623 (Print), 1543-1940 (Online) (doi:https://doi.org/10.1007/s11661-015-2998-x)

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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.

Item Type: Article
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s11661-015-2998-x
Uncontrolled Keywords: Analytic Solution, Critical Magnetic Field, Thermoelectrics, Magnetohydrodynamics, Dendritic Solidification,
Faculty / Department / Research Group: Faculty of Architecture, Computing & Humanities
Faculty of Architecture, Computing & Humanities > Centre for Numerical Modelling & Process Analysis (CNMPA) > Computational Science & Engineering Group (CSEG)
Faculty of Architecture, Computing & Humanities > Department of Mathematical Sciences
Last Modified: 02 May 2018 11:35
Selected for GREAT 2016: GREAT a
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/14860

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