Abstract
Based on the principle of dilute solution approximation, a phase field model for dendritic growth during the non-isothermal solidification process was proposed by coupling the phase field, concentration field and temperature field, and was adopted to investigate the dendritic growth of Al-Cu binary alloy during the non-isothermal solidification process. Also, the simulations of free dendritic growth in an undercooled melt of Al-4.5%Cu binary alloy with different perturbation intensity and anisotropy were carried out by the present phase field model. The results show that during the non-isothermal solidification process of Al-4.5%Cu binary alloy, the dendrite grow into undercooled melt with the solute rejection and latent heat release at the front of solid/liquid interface, and the solute enriches at the dendrite root and high temperature appears at the dendritic growth front. With the increase of perturbation intensity, the dendritic growth becomes more developed and more branches appear. Moreover, the anisotropy coefficient also has a great effect on the dendritic growth, and the growth speed of dendrite increases with the increase of anisotropy coefficient.
Highlights
It has become a popular method to simulate the dendrite growth in the solidification process of steel by numerical method[1]
The initial purpose of phase-field method is to simulate the dendrite growth of pure matter in undercooled melts, and Wheeler et al.[4,5] established the pioneer model (WBM model) for simulating dendritic growth of binary alloys during the solidification process, which was widely adopted to predict the solidification structure of alloys by the following researchers[6,7,8]
It can be seen that with the increase of perturbation intensity, the solid/liquid interface of the primary trunk becomes more unstable, and the secondary dendrite arm begins emitting from the primary trunk
Summary
It has become a popular method to simulate the dendrite growth in the solidification process of steel by numerical method[1]. Kim et al.[9,10,11,12,13,14] developed a phase field model (KKS model) for alloy solidification, which eliminates the limit of the thin interface thickness, and it was widely adopted to predict the solidification structure of alloys in the past few decades. The phase field model proposed by Kim et al was adopted to coupled with the solute field and temperature field to simulate the solidification process of Al-Cu alloy under non-isothermal conditions, the effects of anisotropy and perturbation intensity on dendritic growth were studied
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