Quantitative Modeling of Binary Alloy Solidification with Coupled Heat and Solute Diffusion via the Phase-Field Method

PFM (phase field method) was employed to study microstructure evolution, and considering the effect of solute concentration to the undercooling, we developed a phase field model for binary alloy on the basis of pure substance model. In the paper, the temperature field and solute field were coupled together in the phase field model to calculate the crystal growth of magnesium alloy in directional solidification. The simulation results showed a non-planar crystal growth of planar to cellular to columnar dendrite, the comparison of different dendrite patterns were carried out in the numerical simulation, and with the increasing of the anisotropy, the second dendrite arms became more developed.

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Influence of the Melt Flow Rate on Dendrite Micro Segregation During Alloy Solidification Simulated by Phase Field Method

Journal of Applied Sciences ◽

10.3923/jas.2013.2700.2704 ◽

2013 ◽

Vol 13 (14) ◽

pp. 2700-2704 ◽

Cited By ~ 2

Author(s):

Liu Qiang ◽

Yang Xiang-Jie ◽

Liu Zhi-Ling

Keyword(s):

Flow Rate ◽

Phase Field ◽

Field Method ◽

Phase Field Method ◽

Melt Flow ◽

Melt Flow Rate ◽

Alloy Solidification

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Phase-field modeling of binary alloy solidification with coupled heat and solute diffusion

Physical Review E ◽

10.1103/physreve.69.051607 ◽

2004 ◽

Vol 69 (5) ◽

Cited By ~ 175

Author(s):

J. C. Ramirez ◽

C. Beckermann ◽

A. Karma ◽

H.-J. Diepers

Keyword(s):

Binary Alloy ◽

Phase Field ◽

Solute Diffusion ◽

Phase Field Modeling ◽

Alloy Solidification ◽

Field Modeling

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Numerical Simulation of Dendrite Growth of Binary Alloy Using Phase-Field Method

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.716-717.133 ◽

2014 ◽

Vol 716-717 ◽

pp. 133-136

Author(s):

Fang Hui Liu ◽

Ming Gao

Keyword(s):

Temperature Gradient ◽

Binary Alloy ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Field Method ◽

Dendrite Growth ◽

Phase Field Method ◽

Dendrite Morphology ◽

Anisotropic Strength

In order to study the growth process and morphology of dendrite directly, a phase field model of binary alloy was established. In this model the order parameter equation was coupled with the temperature field and the solute field. The growing processes and morphology of dendrite were simulated by using this phase field model. Through analyzing the results, we discussed the effects of anisotropic strength and temperature gradient on dendrite morphology. The results shows that with the increasing of anisotropic strength, the dendrite growth rate of the dendrite will increase and the secondary branches appear more clearly. Besides, the temperature gradient has influence on the appearance of secondary arms during the dendrite growing. With the increase of temperature gradient, the size of secondary dendrite arms increase.

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Numerical Simulation of Binary Alloy Crystal Growth of Multiple Dendrites and Direcitonal Solidification Using Phase-Field Method

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.774-776.703 ◽

2013 ◽

Vol 774-776 ◽

pp. 703-706

Author(s):

Ming Chen ◽

Yu Jiang ◽

Wen Long Sun ◽

Xiao Dong Hu ◽

Chun Li Liu

Keyword(s):

Directional Solidification ◽

Binary Alloy ◽

Phase Field ◽

Phase Field Model ◽

Solidification Process ◽

Solute Concentration ◽

Field Method ◽

Dendrite Growth ◽

Phase Field Method ◽

Competitive Growth

Phase field method (PFM) offers the prospect of carrying out realistic numerical calculation on dendrite growth in metallic systems. The dendritic growth process of multiple dendrites and direcitonal solidification during isothermal solidifications in a Fe-0.5mole%C binary alloy were simulated using phase field model. Competitive growth of multiple equiaxed dendrites were simulated, and the effect of anisotropy on the solute segregation and microstructural dedritic growth pattern in directional solidification process was studied in the paper. The simulation results showed the impingement of arbitrarily oriented grains, and the grains began to impinge and coalesce the adjacent grains with time going on, which made the dendrite growth inhibited obviously. In the directional solidification, the maximum concentration gradient showed in the dendrite tip, and highest solute concentration existed at the bottom of the dendrites. With the increasing of the anisotropy, dendrite tip radius became smaller, and the crystal structure is more uniform and dense.

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