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http://hdl.handle.net/11375/24219
Title: | Evolution of a mushy zone in a static temperature gradient using a volume average approach |
Authors: | Phillion, A.B. Založnik, M. Spindler, I. Pinter, N. Aledo, C.-A. Salloum-Abou-Jaoude, G. Nguyen Thi, H. Reinhart, G. Boussinot, G. Apel, M. Combeau, H. |
Department: | Materials Science and Engineering |
Keywords: | Solidification;Volume averaging method;Phase field method;Synchrotron X-ray radiography;Temperature gradient zone melting |
Publication Date: | 1-Sep-2017 |
Abstract: | A volume average model to study the transition of a semi-solid mushy zone to a planar solid/liquid interface in a static temperature gradient is presented. This model simulates the principal phenomena governing mushy zone dynamics including solute diffusion in the interdendritic and bulk liquids, migration of both the solid-liquid interface and the mushy-liquid boundary at the bottom and top of the mushy zone, and solidification. The motion of the solid-liquid interface is determined analytically by performing a microscopic solute balance between the solid and mushy zones. The motion of the mushy-liquid boundary is more complex as it consists of a transition between the mushy and bulk liquid zones with rapidly changing macroscopic properties. In order to simulate this motion, a control volume characterized by continuity in the solute concentration and a jump in both the liquid fraction and the solute concentration gradient was developed. The volume average model has been validated by comparison against prior in-situ X-ray radiography measurements [1], and phase-field simulations [2] of the mushy-to-planar transition in an Al-Cu alloy. A very good similarity was achieved between the observed experimental and phase-field dynamics with this new model even though the described system was only one-dimensional. However, an augmentation of the solute diffusion coefficient in the bulk liquid was required in order to mimic the convective solute transport occurring in the in situ X-ray study. This new model will be useful for simulating a wide range of natural and engineering processes. |
URI: | http://hdl.handle.net/11375/24219 |
ISSN: | 10.1016/j.actamat.2017.09.011 |
Other Identifiers: | 10.1016/j.actamat.2017.09.011 |
Appears in Collections: | Materials Science and Engineering Publications |
Files in This Item:
File | Description | Size | Format | |
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2017_ActaMat_StaticTempGradient.pdf | 7.62 MB | Adobe PDF | View/Open |
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