Quantitative phase-field modeling of solidification at high Lewis number

Abstract

A phase-field model of nonisothermal solidification in dilute binary alloys is used to study the variation of growth velocity, dendrite tip radius, and radius selection parameter as a function of Lewis number at fixed undercooling. By the application of advanced numerical techniques, we have been able to extend the analysis to Lewis numbers of order 10 000, which are realistic for metals. A large variation in the radius selection parameter is found as the Lewis number is increased from 1 to 10 000.

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Authors/Creators:	Rosam, J Jimack, PK Mullis, AM
Copyright, Publisher and Additional Information:	© 2009, American Physical Society. This is an author produced version of a paper published in Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. Uploaded in accordance with the publisher's self-archiving policy.
Keywords:	Dilute alloys; numerical analysis; solidification; binary alloy solidification; velocity-undercooling relationships; free dendritic growth; microstructural evolution; fully implicit; simulation
Dates:	Published: 12 March 2009
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:	06 May 2015 14:58
Last Modified:	20 Jan 2018 08:06
Published Version:	http://dx.doi.org/10.1103/PhysRevE.79.030601
Status:	Published
Publisher:	American Physical Society
Identification Number:	https://doi.org/10.1103/PhysRevE.79.030601

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Quantitative phase-field modeling of solidification at high Lewis number

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