Modeling of dendritic growth in the presence of convection

Zhu, Mingfang; Taguchi, Dai; Lee, Sungyoon; Hong, Chun Pyo

doi:10.1360/04ye0253

Cited by 17 publications

(14 citation statements)

References 28 publications

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“…Therefore, numerical simulation, as an effective tool, has been widely used to elucidate the dendritic growth in the presence of fluid flow in the last decades. Recently, Asta et al 9) provided an overview of the main achievements about the research area of convectionmicrostructure interaction using the numerical simulation method, such as phase-field (PF) method, [10][11][12][13][14][15][16][17][18][19][20] front tracking (FT) method, 21,22) cellular automaton (CA) method, [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] etc. Compared with others methods, PF method, based on a set of thermodynamically partial differential equations, has a solid physical fundament and deals with the solid/ liquid (S/L) interface by introducing a phase-field variable without an explicit tracking of S/L interface.…”

Section: )mentioning

confidence: 99%

“…Shin and Hong 23) introduced a diffuse interface from the phase-field methodology for solving the species and momentum transport equations and firstly developed a modified CA model to investigate the effects of convection on dendritic growth morphology in a undercooled melt. Later, Zhu et al [24][25][26] improved the modified CA model by means of fully implicit FVM for the solution of the momentum and species conservation equations, based on the SIMPLE scheme, and quantitatively investigated the effects of melt convection on the dendritic growth of Al-Cu alloy. Their model showed a good capability of reproducing the typical asymmetric dendritic growth with melt convection and an acceptable computational efficiency.…”

Section: )mentioning

confidence: 99%

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Validation and Simulation of Cellular Automaton Model for Dendritic Growth during the Solidification of Fe–C Binary Alloy with Fluid Flow

2016

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Based on our previous developed 2D CA-FVM model, where the transport phenomna and kinetics conditions of solute-driven dendritic growth occurred in the solidification process with fluid flow were totally taken into consideration, an extensive model validation and furhter model application are demonstrated here. Firstly, the flow pattern of the lid-driven cavity is well predicted and quantitatively coincides with the classic benchmark solutions, as Re is in the range of 100 to 3 200. Secondly, the numerical simulations of the free dendritic growth of Fe-0.82 wt%C alloy in the static undercooled melt and the convectional undercooled melt agree well with the LGK predictions in a relatively low undercooling range and the OseenIvantsov solutions, respectively. After the detailed model validation, numerical simulations of the equiaxed/ columnar dendritic growth of Fe-0.82 wt%C alloy with fluid flow have been carried out and the results show that the dendrite morphologies and solute profiles are significantly affected by the fluid flow and the asymmetries of the dendrite morphologies and solute profiles become more and more serious with the increase of the flow Péclet number. For the equiaxed dendritic growth in the undercooled melt with fluid flow, the solute is washed away from the upstream to the downstream region, resulting in accelerating the dendritic growth of the upstream tip and perpendicular tip and inhibiting the dendritic growth of the downstream tip. For the columnar dendritic growth in the lid-driven cavity, the circulation flow facilitates the side branch of the dendrite trunk edge, which faces to the incoming flow, and promotes the asymmetrical dendrite morphology and solute profile.

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Section: )mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

Validation and Simulation of Cellular Automaton Model for Dendritic Growth during the Solidification of Fe–C Binary Alloy with Fluid Flow

2016

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“…In recent years, the rapid development of numerical computer simulations of the solidification microstructures has enabled significant advances on the comprehension of the physical phenomena underlying solidification, especially regarding the dynamic formation of dendritic crystals in alloys. [1][2][3][4][5][6] However, quantitative validation of these simulations, necessary to discriminate and improve the numerical models, remains limited, mainly due to the lack of precise experimental data that can be used for reliable comparison. In the case of metallic alloys, experimental characterization of dendritic morphology has been conventionally performed by post-mortem analysis of etched sections of samples, which gives only a "frozen" picture of the solidification microstructure, with disturbing artifacts of quenching, coarsening or solid-state diffusion.…”

Section: Introductionmentioning

confidence: 99%

Quantitative Phase-field Simulation of Dendritic Equiaxed Growth and Comparison with in Situ Observation on Al – 4 wt.% Cu Alloy by Means of Synchrotron X-ray Radiography

Chen

Billia

et al. 2014

ISIJ Int.

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Dendritic equiaxed growth from the melt by continuous cooling-down is investigated by quantitative 2D phase-field simulations. The results are compared with detailed data from solidification experiments on Al-4 wt.% Cu alloy with in situ X-ray monitoring. In a first step, the simulation of an isolated equiaxed alloy dendrite growing freely in <100>-direction in the melt is performed. Then, the impingement between two grains is considered by simulating two dendritic crystals growing towards each other in <100>-direction. From the phase-field simulations, the time evolution of the equiaxed crystals is characterized by measuring the lengths and tip velocities of the primary dendrite arms in free growth and in the presence of neighbor interaction, which enables the analysis of growth dynamics. In a second part, the results of the phase-field simulations are compared to data extracted from an experiment on Al -4 wt.% Cu alloys carried out at the European Synchrotron Radiation Facility (ESRF), with in situ and real-time characterization by means of X-ray radiography, and to analytical relationship for dendrite tip growth. The limitations of 2D-phase-field simulations to fully describe the dynamic formation and interaction of dendritic equiaxed grains are briefly discussed.

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“…The solute in the groove of the neighbor cell is enriched so severely that the second arm of the neighbor cell in the side is restrained. Then it forms many dendrites [14] of single side arms.…”

Section: Effect Of the Gravity Convection On Dendritementioning

confidence: 99%

Effect of gravity convection on interface morphology during solidification

Duan

Chen

et al. 2007

SCI CHINA SER G

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An experimental apparatus consisting of a crystal growth room and a crystal growth observation system was developed for the study of the effect of the gravity convection perpendicular to the growth direction on the growth process by use of model alloy succinonitrile (SCN)-5wt%ethanol. It was found that the convection improves the stability of the interface and causes the downstream alternation of the cell growth direction because of the dual effect of the Stokes force and the gravity. The second dendrite arm facing the flow comes into being earlier than that at another side when the interface transforms cell to dendrite. Then the dendrite at the side facing the flow comes into being earlier. The second dendrite arm facing the flow grows faster and is more developed than that at another side. In addition, the primary dendrite arm spacing increases and the dendrite tip radius decreases under the gravity convection.

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Modeling of dendritic growth in the presence of convection

Cited by 17 publications

References 28 publications

Validation and Simulation of Cellular Automaton Model for Dendritic Growth during the Solidification of Fe–C Binary Alloy with Fluid Flow

Validation and Simulation of Cellular Automaton Model for Dendritic Growth during the Solidification of Fe–C Binary Alloy with Fluid Flow

Quantitative Phase-field Simulation of Dendritic Equiaxed Growth and Comparison with in Situ Observation on Al – 4 wt.% Cu Alloy by Means of Synchrotron X-ray Radiography

Effect of gravity convection on interface morphology during solidification

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