Mullis, AM, Rosam, J and Jimack, PK (2009) The prediction of tip radius during rapid dendritic growth under coupled thermo-solutal control: What value sigma. Transactions of the Indian Institute of Metals, 62 (4-5). 309 - 313. ISSN 0972-2815
Abstract
A phase-field model for dendritic growth under coupled thermo-solutal control model is presented. Constructed in the quantitatively valid thin-interface limit the model uses advanced numerical techniques such as mesh adaptivity, multigrid and implicit time-stepping to solve the non-isothermal alloy solidification problem for materials parameters that are realistic for metals. Using this model we demonstrate that the dendrite radius selection parameter, σ*, shows a complex dependence on a number of materials properties including undercooling, Lewis number, alloy concentration and partition coefficient, in addition to the known dependence on anisotropy strength. Consequently, we argue that as a predictive tool, at least for non-isothermal alloy solidification away from the limits of vanishing concentration and Peclet number, the concept of σ* probably retains little intrinsic value.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2009, Springer Verlag. This is an author produced version of a paper published in Transactions of the Indian Institute of Metals. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at Springer via http://dx.doi.org/10.1007/s12666-009-0048-3 |
Keywords: | Rapid solidification; Phase-field modelling; Dendritic growth; Phase-field model; Binary alloy solidification; Fully implicit; Simulation; Convection; Stability; Time |
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) |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Mar 2015 16:36 |
Last Modified: | 30 Jan 2018 05:37 |
Published Version: | http://dx.doi.org/10.1007/s12666-009-0048-3 |
Status: | Published |
Publisher: | Springer Verlag (Germany) |
Identification Number: | 10.1007/s12666-009-0048-3 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:83576 |