Phase-Field Simulation of Solidification Double Dendritic Growth of Binary Alloy in the Forced Flow

Article Preview

Abstract:

We study the effect of force convection and temperature on the double dendrite growth during the solidification of binary alloy using a phase-field model. The mass and momentum conservation equations are solved using the Simple algorithm, and the thermal governing equation is numerically solved using an alternating implicit finite difference method. The results indicate that dendritic grows unsymmetrically under a forced flow, the growth velocity of the upstream tip is faster than the downstream tip. The downstream tip of the first dendrite and the upstream tip of the second dendrite are influenced each other, the upstream tip of the second dendrite will Coarsen, and the concentration at the boundary between them is the highest. Moreover, the interaction between the two dendrites is more and more obvious with the increasing of the temperature.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

574-577

Citation:

Online since:

December 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] X. Tong, C. Beckermann, A. Karma, Velocity and shape selection of dendritic crystals in a forced flow[J], Physical Rev. E, 2000, 61(1): 49-52

DOI: 10.1103/physreve.61.r49

Google Scholar

[2] X Tong, C Beckermann, A Karma, Q Li. Phase-field simulations of dendritic crystal growth in a forced flow [J]. Physical Review E, 2001(63): 103-169

DOI: 10.1103/physreve.63.061601

Google Scholar

[3] Y Lu., C Beckermann. Three-dimensional phase-field simulations of the effect of convection on free dendritic growth[J]. J. Crystal growth, 2005(280): 320-334

DOI: 10.1016/j.jcrysgro.2005.03.063

Google Scholar

[4] C.W Lan, C.J Shin..Phase field simulation of non-isothermal free dendritic growth of a binary alloy in a forced flow[J].J. Crystal growth, 2004(264): 472-482

DOI: 10.1016/j.jcrysgro.2004.01.016

Google Scholar

[5] C W Lan, C M Hsu, C C Liu. Efficient adaptive phase field simulation of dendritic growth in a forced flow at low supercooling[J]. J. Crystal Growth, 2002(241): 379-391

DOI: 10.1016/s0022-0248(02)01287-3

Google Scholar

[6] R. Tönhardt, G. Amberg. Dendritic growth of randomly oriented nuclei in a shear flow[J]. Crystal Growth, 2001, 213: 161-187.

DOI: 10.1016/s0022-0248(00)00333-x

Google Scholar

[7] Long W.Y., Xia Ch., Xong B.W., Fang L.G.. Phase-field simulation of dendritic growth in a binary alloy with Thermodynamics Data [J]. Chinese Physics B, 2008,17(3): 1078~1083.

DOI: 10.1088/1674-1056/17/3/054

Google Scholar