A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part II. Theoretical Model

A flow of liquid GaInSn, which has been investigated experimentally in a companion article, [1] is modeled analytically in this article. The role of this electromagnetically driven flow is to transport the solute rejected by the solidifying interface at significant distances in the melt, and to peri...

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Veröffentlicht in:Metallurgical and Materials Transactions B-Process Metallurgy and Materials Processing Science 2009-02, Vol.40 (1), p.104-113
Hauptverfasser: Wang, Xiaodong, Moreau, Rene, Etay, Jacqueline, Fautrelle, Yves
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container_title Metallurgical and Materials Transactions B-Process Metallurgy and Materials Processing Science
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creator Wang, Xiaodong
Moreau, Rene
Etay, Jacqueline
Fautrelle, Yves
description A flow of liquid GaInSn, which has been investigated experimentally in a companion article, [1] is modeled analytically in this article. The role of this electromagnetically driven flow is to transport the solute rejected by the solidifying interface at significant distances in the melt, and to periodically reverse its circulation such that macrosegregation is minimized. First, we present an analytical derivation of the electromagnetic force, exhibiting its space and time variations, which are essentially legitimate in the central part of the fluid domain. A model for the recirculating fluid flow is also derived, assuming that in this central region the flow is quasiparallel to the main axis. The narrowness of the fluid domain must be taken into account, to achieve a satisfactory agreement with the measurements.
doi_str_mv 10.1007/s11663-008-9210-2
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subjects Applied sciences
Characterization and Evaluation of Materials
Chemical compounds
Chemical Sciences
Chemistry and Materials Science
Electromagnetics
Engineering Sciences
Exact sciences and technology
Magnetic fields
Material chemistry
Materials
Materials Science
Metallic Materials
Metals. Metallurgy
Nanotechnology
Production of metals
Structural Materials
Surfaces and Interfaces
Theoretical physics
Thin Films
title A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part II. Theoretical Model
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