Rosam, J., Jimack, P.K. and Mullis, A.M. (2008) An adaptive, fully implicit multigrid phase-field model for the quantitative simulation of non-isothermal binary alloy solidification. Acta Materialia, 56 (17). pp. 4559-4569. ISSN 1359-6454
Abstract
Using state-of-the-art numerical techniques, such as mesh adaptivity, implicit time-stepping and a non-linear multi-grid solver, the phase-field equations for the non-isothermal solidification of a dilute binary alloy have been solved. Using the quantitative, thin-interface formulation of the problem we have found that at high Lewis number a minimum in the dendrite tip radius is predicted with increasing undercooling, as predicted by marginal stability theory. Over the dimensionless undercooling range 0.2–0.8 the radius selection parameter, σ*, was observed to vary by over a factor of 2 and in a non-monotonic fashion, despite the anisotropy strength being constant.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2008 Elsevier B.V. This is an author produced version of a paper published in Acta Materialia. Uploaded in accordance with the publisher's self archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Chemical & Process Engineering (Leeds) > Institute for Materials Research (Leeds) |
Depositing User: | Sherpa Assistant |
Date Deposited: | 05 Dec 2008 16:12 |
Last Modified: | 16 Sep 2016 13:41 |
Published Version: | http://dx.doi.org/10.1016/j.actamat.2008.05.029 |
Status: | Published |
Publisher: | Elsevier B.V. |
Identification Number: | 10.1016/j.actamat.2008.05.029 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:4984 |