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

2011 ◽  
Vol 421 ◽  
pp. 574-577
Author(s):  
Wen Yuan Long ◽  
Ding Ping You ◽  
Jun Ping Yao ◽  
Hong Wan
Keyword(s):  
Binary Alloy ◽  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Phase Field Model ◽  
Simple Algorithm ◽  
Force Convection ◽  
Momentum Conservation ◽  
Forced Flow ◽  
Implicit Finite Difference

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.

Research on Phase-Field Model of Three-Dimensional Dendritic Growth for Binary Alloy

2015 ◽  
Vol 12 (11) ◽  
pp. 4289-4296 ◽  
Author(s):  
Li Feng ◽  
Jinfang Jia ◽  
Changsheng Zhu ◽  
Yang Lu ◽  
Rongzhen Xiao ◽  
...  
Keyword(s):  
Binary Alloy ◽  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Three Dimensional ◽  
Phase Field Model

Phase Field Simulation of Parameters Affecting Dendrite Growth in a Forced Flow

2011 ◽  
Vol 228-229 ◽  
pp. 44-49
Author(s):  
Xun Feng Yuan ◽  
Yu Tian Ding
Keyword(s):  
Flow Velocity ◽  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Phase Field Model ◽  
Pure Metal ◽  
Dendrite Growth ◽  
Forced Flow ◽  
Low Flow ◽  
Tip Radius

The phase-field model coupled with a flow field was used to simulate the dendrite growth in the undercooled pure metal melt. The effects of flow velocity, supercooling and anisotropy on the dendritic growth were studied. Results indicate that melt flow can enhance the emergence of side-branches, the morphology of the dendrite was composed of the principal branches and side-branches. With an increase in flow velocity and supercooling, the velocity of upstream dendritic tip increases, but the tip radius decreases first and then increases. With an increase in anisotropy values, the velocity of upstream dendritic tip increases and the tip radius decreases. The results of calculation agreed with LMK theory in the case of low flow velocity and anisotropy.

Phase-Field Simulation of Double Dendritic Growth in Solidification of Binary Alloy with Forced Convection

2011 ◽  
Vol 189-193 ◽  
pp. 1421-1425
Author(s):  
Qiang Liu ◽  
Xiang Jie Yang ◽  
Zhi Ling Liu
Keyword(s):  
Binary Alloy ◽  
Phase Field ◽  
Growth Velocity ◽  
Dendritic Growth ◽  
Force Convection ◽  
Flow Speed ◽  
Forced Flow ◽  
Solute Profile ◽  
Field Approach ◽  
Field Simulation

A phase-field approach which incorporates mass and momentum and solute conservation equations for simulation of Al-Cu binary alloy solidification is studied. The effect of force convection on the double dendrite growth and solute profile during the solidification of binary alloy were investigated. 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 flow speed.

Dependence of Dendritic Growth on Convention with PFM Simulation

2011 ◽  
Vol 689 ◽  
pp. 85-90
Author(s):  
Chang Sheng Zhu ◽  
Jin Gui ◽  
Zhi Ping Wang ◽  
Feng Li
Keyword(s):  
Flow Field ◽  
Computational Methods ◽  
Binary Alloy ◽  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Phase Field Model ◽  
Field Equations ◽  
Dendritic Branches ◽  
Solute Composition

A binary alloy PFM (Phase-Field Model) which incorporates the flow field equations is constructed considering the dependence of microstructure on convention. Al-Cu binary alloy is investigated numerically based on the model, and the reasonable computational methods is studied for solving PFM, the effect of convention on dendritic growth and microsegregation patterns is implemented successfully. The computed results indicate that, the larger convention velocity U, the more developed the upstream dendritic branches is, and the more acutely the solute composition in the upstream dendritic solid fluctuates is. But the severity of microsegregation ahead of interface reduces. Nevertheless, the more undeveloped the downstream dendritic branches, the more acutely the solute composition in the the downstream dendritic solid fluctuates is, but the severity of microsegregation ahead of interface aggravates.

Phase-Field Simulation of Three-Dimensional Dendritic Growth

2010 ◽  
Vol 97-101 ◽  
pp. 3769-3772 ◽  
Author(s):  
Chang Sheng Zhu ◽  
Jun Wei Wang
Keyword(s):  
Computational Methods ◽  
Phase Field ◽  
Interfacial Energy ◽  
Dendritic Growth ◽  
Field Model ◽  
Three Dimensional ◽  
Phase Field Model ◽  
Computational Time ◽  
Field Simulation ◽  
Undercooled Melt

Based on a thin interface limit 3D phase-field model by coupled the anisotropy of interfacial energy and self-designed AADCR to improve on the computational methods for solving phase-field, 3D dendritic growth in pure undercooled melt is implemented successfully. The simulation authentically recreated the 3D dendritic morphological fromation, and receives the dendritic growth rule being consistent with crystallization mechanism. An example indicates that AADCR can decreased 70% computational time compared with not using algorithms for a 3D domain of size 300×300×300 grids, at the same time, the accelerated algorithms’ computed precision is higher and the redundancy is small, therefore, the accelerated method is really an effective method.

A Temperature-Dependent Atomistic-Informed Phase-Field Model to Study Dendritic Growth

2021 ◽  
pp. 126461
Author(s):  
Sepideh Kavousi ◽  
Austin Gates ◽  
Lindsey Jin ◽  
Mohsen Asle Zaeem
Keyword(s):  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Phase Field Model ◽  
Temperature Dependent

A phase field model for phase transformation in an elastically stressed binary alloy

2005 ◽  
Vol 13 (3) ◽  
pp. 299-319 ◽  
Author(s):  
Dong-Hee Yeon ◽  
Pil-Ryung Cha ◽  
Ji-Hee Kim ◽  
Martin Grant ◽  
Jong-Kyu Yoon
Keyword(s):  
Phase Transformation ◽  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model

Study on Microstructural Evolution of Binary Alloy Crystal Growth in Directional Solidification Process

2013 ◽  
Vol 470 ◽  
pp. 100-103
Author(s):  
Dong Sheng Chen ◽  
Ming Chen ◽  
Rui Chang Wang
Keyword(s):  
Crystal Growth ◽  
Directional Solidification ◽  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Field Method ◽  
Phase Field Method ◽  
Pure Substance ◽  
Columnar Dendrite

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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