A comparative study on migration of a planar interface during solidification of non-dilute alloys

Li, Shu; Zhang, Jiong; Wu, Ping

doi:10.1016/j.jcrysgro.2009.12.070

Cited by 27 publications

(15 citation statements)

References 21 publications

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“…In the present work, the version with solute drag is proposed (see Refs. [20,24,25] for details). For the present model, the linear liquidus and solidus lines are assumed.…”

Section: The Interface Response Functionmentioning

confidence: 99%

“…(24) and (25) are the final forms. With the assumption of the isothermal and isosolutal interface, N 1 ðp t Þ; N 2 ðp t Þ; N 3 ðp t Þ and N c ðp c Þ equal unity.…”

Section: The Thermal and Solutal Transport In The Liquidmentioning

confidence: 99%

“…(24) and (25) could give a relationship between the tip radius of curvature R and the interfacial migration velocity V. Another equation is required to determine the two quantities uniquely. In the present work, the well-known marginal stability theory is introduced to describe the tip radius R [27][28][29][30][31].…”

Section: The Marginal Stability Criterionmentioning

confidence: 99%

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An extended free dendritic growth model incorporating the nonisothermal and nonisosolutal nature of the solid–liquid interface

Liu

et al. 2015

Acta Materialia

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“…In the present work, the version with solute drag is proposed (see Refs. [20,24,25] for details). For the present model, the linear liquidus and solidus lines are assumed.…”

Section: The Interface Response Functionmentioning

confidence: 99%

“…(24) and (25) are the final forms. With the assumption of the isothermal and isosolutal interface, N 1 ðp t Þ; N 2 ðp t Þ; N 3 ðp t Þ and N c ðp c Þ equal unity.…”

Section: The Thermal and Solutal Transport In The Liquidmentioning

confidence: 99%

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An extended free dendritic growth model incorporating the nonisothermal and nonisosolutal nature of the solid–liquid interface

Liu

et al. 2015

Acta Materialia

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“…Δ G is the effective free energy difference incorporating solute trapping and relaxation effects. For binary alloys, Δ G is given as

\begin{array}{l} center & normalΔ G = false(1 − {C_{L}}^{*} false) normalΔ μ_{1} + {C_{L}}^{*} normalΔ μ_{2} + false({C_{L}}^{*} − {C_{S}}^{*} false) false(1 − k false) normalR normalT false(\frac{V}{V_{D}} false), \begin{matrix} center \\ center & center \end{matrix} V < V_{D} \\ center & normalΔ G = false(1 − {C_{L}}^{*} false) normalΔ μ_{1} + {C_{L}}^{*} normalΔ μ_{2}, \begin{matrix} center \\ center & center \end{matrix} V ≥ V_{D} \end{array},

where Δ μ 1 and Δ μ 2 are the chemical potentials of solvent and solute at SL interface, respectively. The thickness of diffusive SL interface is much smaller than the size of CA lattice, therefore,

{C_{normalL}}^{*}

is assumed to be approximately equal to the concentration of interface lattice here, and

{C_{normalS}}^{*} = k {C_{normalL}}^{*}

.…”

Section: Model Descriptionmentioning

confidence: 99%

“…DG is the effective free energy difference incorporating solute trapping and relaxation effects. For binary alloys, DG is given as [21] DG…”

Section: The Governing Rule For the Ca Model During Non-equilibrium Smentioning

confidence: 99%

A Three Dimensional Cellular Automata Model for Dendrite Growth in Non-Equilibrium Solidification of Binary Alloy

Zhao

Qin

Chen

et al. 2015

steel research int.

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A three‐dimensional (3D) cellular automata (CA) model has been developed for simulation of dendrite growth during non‐equilibrium solidification. The heat and mass transports are calculated using 3D finite element (FE) method. The migration of solid/liquid (SL) interface is associated with effective free energy difference incorporating solute trapping and relaxation effects. The non‐equilibrium solute partition coefficient involving solute trapping and relaxation effects is used to calculate solute redistribution at SL interface. The interface curvature and anisotropy of surface energy are introduced to represent the characteristics of dendrite tip. The CA model has been applied to simulate the microstructure evolution of Fe‐1.5 wt.% C alloy. The grain morphology, solute and temperature distributions, and velocity of dendrite tip are characterized during both isothermal and non‐isothermal conditions. The velocity of dendrite tip and secondary dendrite arm spacing during directional solidification are validated and are in good agreements with previous experimental and mathematical results.

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Analysis for Free Dendritic Growth Model Applicable to Nondilute Alloys

Zhang

2012

Metall Mater Trans A

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A comparative study on migration of a planar interface during solidification of non-dilute alloys

Cited by 27 publications

References 21 publications

An extended free dendritic growth model incorporating the nonisothermal and nonisosolutal nature of the solid–liquid interface

An extended free dendritic growth model incorporating the nonisothermal and nonisosolutal nature of the solid–liquid interface

A Three Dimensional Cellular Automata Model for Dendrite Growth in Non-Equilibrium Solidification of Binary Alloy

Analysis for Free Dendritic Growth Model Applicable to Nondilute Alloys

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