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Phys. Rev. E 79, 030601(R) (2009) [4 pages]

Quantitative phase-field modeling of solidification at high Lewis number

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J. Rosam1,2, P. K. Jimack2, and A. M. Mullis1
1Institute for Materials Research, University of Leeds, Leeds LS2-9JT, United Kingdom
2School of Computing, University of Leeds, Leeds LS2-9JT, United Kingdom

Received 22 August 2008; revised 17 December 2008; published 12 March 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.030601
DOI:
10.1103/PhysRevE.79.030601
PACS:
68.70.+w, 81.30.Fb, 02.60.Cb, 64.70.dm