Bollada, PC, Goodyer, CE, Jimack, PK et al. (1 more author) (2015) Simulations of three-dimensional dendritic growth using a coupled thermo-solutal phase-field model. Applied Physics Letters, 107 (5). 053108. ISSN 0003-6951
Abstract
Using a phase field model, which fully couples the thermal and solute concentration field, we present simulation results in three dimensions of the rapid dendritic solidification of a class of dilute alloys at the meso scale. The key results are the prediction of steady state tip velocity and radius at varying undercooling and thermal diffusivities. Less computationally demanding 2-dimensional results are directly compared with the corresponding 3-dimensional results, where significant quantitative differences emerge. The simulations provide quantitative predictions for the range of thermal and solutal diffusivities considered and show the effectiveness and potential of the computational techniques employed. These results thus provide benchmark 3-dimensional computations, allow direct comparison with underlying analytical theory, and pave the way for further quantitative results.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright 2015, American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Applied Physics Letters 107, 053108 (2015) and may be found at http://dx.doi.org/10.1063/1.4928487 |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Chemical & Process Engineering (Leeds) > Institute for Materials Research (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/H048685/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Aug 2015 11:09 |
Last Modified: | 11 Apr 2018 05:21 |
Published Version: | http://dx.doi.org/10.1063/1.4928487 |
Status: | Published |
Publisher: | American Institute of Physics |
Identification Number: | 10.1063/1.4928487 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89026 |