Effect of buoyancy-driven convection on steady state dendritic growth in a binary alloy

Chen, Mingwen; Wang, Bao; Wang, Zidong

doi:10.1088/1674-1056/22/11/116805

Cited by 5 publications

(3 citation statements)

References 20 publications

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“…With Eqs. ( 15), (16), and the interface condition (18), we obtain the leading order approximation solutions for the temperature fields written as…”

Section: Asymptotic Solutionmentioning

confidence: 99%

“…Buchholz and Engler [8] found that the deformation of the solute layer around the dendrites tips caused by the forced convection makes the columnar dendrites tips incline in the upstream direction. [9,10] In the solidification, the crystal growth will be affected by many factors, such as undercooling, [11] interface kinetics, [12] anisotropic surface tension, [13,14] flow, [15][16][17][18][19] etc. These experiments and numerical simulations deepen the understanding of the crystal growth.…”

Section: Introductionmentioning

confidence: 99%

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Effect of far-field flow on a columnar crystal in the convective undercooled melt

Xiao-Jian¹,

Chen²,

Xiao-Hua³

et al. 2015

Chinese Phys. B

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The growth behavior of a columnar crystal in the convective undercooled melt affected by the far-field uniform flow is studied and the asymptotic solution for the interface evolution of the columnar crystal is derived by means of the asymptotic expansion method. The results obtained reveal that the far-field flow induces a significant change of the temperature around the columnar crystal and the convective flow caused by the far-field flow accelerates the growth velocity of the interface of the growing columnar crystal in the upstream direction and inhibits its growth velocity in the downstream direction. Our results are similar to the experimental data and numerical simulations.

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“…With Eqs. ( 15), (16), and the interface condition (18), we obtain the leading order approximation solutions for the temperature fields written as…”

Section: Asymptotic Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of far-field flow on a columnar crystal in the convective undercooled melt

Xiao-Jian¹,

Chen²,

Xiao-Hua³

et al. 2015

Chinese Phys. B

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“…The convective enhancement of impurity supply can increase the amplitude of defects-causing fluctuations and lead to the crystal quality degradation. Chen and Wang et al (2013) investigated the effect of buoyancy-driven convection on the needle-like interface shape of the crystal. Many helpful results from the above research of protein growth indicated that convection can affect the crystal growth rate and quality, except for very low flow rates.…”

Section: Introductionmentioning

confidence: 99%

Effect of spaceship orbital transfer on solution convection during protein crystal growth under microgravity

Zhang¹,

Wang²

2016

Frontiers in Heat and Mass Transfer

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Detailed numerical analysis is presented for the effect of spaceship orbital transfer on solution convection during protein crystal growth under microgravity. The results show that the flow and mass transfer during protein crystal growth are unsteady in the process of orbital transfer. For the case of quasi-steady acceleration, the flow is so weak that the effect of flow on concentration field can be negligible. For the case of position adjustment, the convection is enhanced with protein crystal diameter dc > 0.2 mm and slightly alters the purely diffusive concentration distribution under zero gravity condition. For the case of motor working, the solute transport is mainly controlled by convection and the concentration field near the crystal surface is altered obviously.

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The stability of dendritic growth in a binary alloy melt with buoyancy effect

Chen

Yang

Zheng

et al. 2021

Int. J. Mod. Phys. B

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On the basis of Xu’s interfacial wave theory, the stability of dendritic growth in a convective binary alloy melt with buoyancy effect is studied using the asymptotic method. The resulting asymptotic solution of equations reveals that the stability mechanism of dendritic growth in the binary alloy melt with buoyancy-driven convection is similar to that in a pure melt. Dendritic growth is stable above and unstable below a critical stability number [Formula: see text], which is determined by the quantization condition. In particular, there is a critical morphological number in the binary alloy melt. When the morphological number is less than the critical morphological number, the tip growth velocity increases, the tip curvature radius and oscillation frequency decrease, and the interface becomes thinner and smooth. When the morphological number is larger than the critical morphological number, the tip growth velocity decreases, the tip curvature radius and oscillation frequency increase, and the interface becomes fatter and rough. The result demonstrates that in a microgravity environment, there is a critical initial concentration such that below it thermal diffusion dominates, the tip growth velocity increases, the tip curvature radius and oscillation frequency decrease, and the interface becomes thinner and smooth; above it, solute diffusion dominates, the tip growth velocity decreases, the tip curvature radius and oscillation frequency increase, and the interface becomes fatter and rough.

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Effect of buoyancy-driven convection on steady state dendritic growth in a binary alloy

Cited by 5 publications

References 20 publications

Effect of far-field flow on a columnar crystal in the convective undercooled melt

Effect of far-field flow on a columnar crystal in the convective undercooled melt

Effect of spaceship orbital transfer on solution convection during protein crystal growth under microgravity

The stability of dendritic growth in a binary alloy melt with buoyancy effect

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