Numerical simulation of the solidification of pure melt by a phase-field model using an adaptive computation domain

Ferreira, Alexandre Furtado; Ferreira, Leonardo de Olivé; Assis, Abner da Costa

doi:10.1590/s1678-58782011000200002

Cited by 17 publications

(12 citation statements)

References 10 publications

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“…In order to observe the growth of dendrites in the alloys system, the calculation must be done according to the time scale of the solute diffusion. For this reason, it was necessary to use (Ferreira et al [6] ) ∆x represents the grid spacing. The anti-symmetrical side branching from primary arms around the dendrite tip is known to be possible only with the existence of a noise source in the phase-field equation.…”

Section: Phase-field Modeling For Al-cu Systemmentioning

confidence: 99%

Simulation of the Dendritic Growth Velocity for Binary Alloy Al-Cu in the Undercooled System

2017

IRJMSA

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The phase-field model was applied to simulate the solidification kinetics to undercooled Al-Cu alloy. The relationships between material properties and model parameters are presented. The diffusivity of solute in the solid region and liquid and liquidus temperature are calculated during the simulation of solidification process. As an example, the two-dimensional computations for the dendritic growth in Al-Cu binary alloy have been performed. The dendritic morphology calculated by phase-field model showed features that are commonly found in experiments on the solidification. The concentration profiles of solute calculated in the solid region and liquid are not completely horizontal, showing evidence of microsegregation. The velocity of the dendrite tip and solute concentration at the interface front are calculated. It is found that the tip velocity is greatly concentration dependent around interface. In order to validate the growth kinetics predicted by this model tests have been performed for comparison with Stefanescu's model. The present work based results show good agreement with those obtained by Stefanescu. The dependence of growth velocity on the initial concentration and super-cooling are also demonstrated.

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Section: Phase-field Modeling For Al-cu Systemmentioning

confidence: 99%

Simulation of the Dendritic Growth Velocity for Binary Alloy Al-Cu in the Undercooled System

2017

IRJMSA

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“…The terms of the phase equation are derived from this free energy functional, which must decrease during any solidification process [17]. In Equation ( is the derivative of the so-called "smoothing" function [26], to be defined later.…”

Section: The Phase-field Modelmentioning

confidence: 99%

“…The model carried out, takes into account solute diffusivity in the liquid and in the interface regions. The "smoothing" function h(φ) and the function g(φ), which models the surface tension effect around the interface, are defined as [17] ( ) ( ) …”

Section: The Phase-field Modelmentioning

confidence: 99%

“…For example, with j = 0 we shall be looking at a perfectly isotropic case, while j = 4 is indicative of a dendrite with four preferential growth directions. Orientation of the maximum-anisotropy interface is identified by the θ 0 of Equation (17). Furthermore, ε 0 in that equation, and w in Equation (13) are model parameters associated with interface energy (σ) and thickness (2λ), respectively, according to the following expressions [27]:…”

Section: The Phase-field Modelmentioning

confidence: 99%

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Numerical Simulation of Microstructural Evolution via Phase-Field Model Coupled to the Solutal Interaction Mechanism

Ferreira¹,

Tomaskewski²,

Paradela³

et al. 2015

MSA

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“…The model was originally proposed to simulate solidification of pure materials [7][8][9] and has been extended to solidification of alloys [10][11][12][13][14][16][17][18] . In contrast to the previous phase-field models, in the present paper the numerical results are achieved in the simulations by disregarding the equilibrium partition coefficient (K e ) and, instead, imposing an effective partition coefficient (K ef ).…”

Section: Introductionmentioning

confidence: 99%

Phase-Field Simulation of Microsegregation and Dendritic Growth During Solidification of Hypoeutectic Al-Cu alloys

et al. 2017

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Prediction of microstructure evolution and microsegregation is one of the most important problems in materials science. The dendritic growth and microsegregation provide a challenging simulation goal for computational models of solidification, in addition to being an important technological feature of many casting processes. The phase-field model offers the prospect of being able to perform realistic simulation experiments on dendrite growth in metallic systems. In this paper, the microsegregation and dendritic growth of hypoeutectic Al-Cu alloys under constant cooling rate was simulated using a phase-field model. The main new feature of the present model is based on the fact that the effect of the growth rate is incorporated via an effective partition coefficient that has been experimentally determined for a range of growth rates. It is shown that both models (Phase-field model and Scheil) have significant deviations from the experimental data when the equilibrium partition coefficient is considered in the calculations. Since the predicted results using the models yielded discrepancies from the experimental data, an experimental equation is adopted for calculating the effective partition coefficient from experimental data. The experimental equation is then adopted in the calculations of phase-field model and Scheil's equation, showing a good agreement with the experimental data.

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Numerical simulation of the solidification of pure melt by a phase-field model using an adaptive computation domain

Cited by 17 publications

References 10 publications

Simulation of the Dendritic Growth Velocity for Binary Alloy Al-Cu in the Undercooled System

Simulation of the Dendritic Growth Velocity for Binary Alloy Al-Cu in the Undercooled System

Numerical Simulation of Microstructural Evolution via Phase-Field Model Coupled to the Solutal Interaction Mechanism

Phase-Field Simulation of Microsegregation and Dendritic Growth During Solidification of Hypoeutectic Al-Cu alloys

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