The effect of 3-dimensional shear flow on the stability of a crystal interface in the supercooled binary melt

Cao, Bin; Lin, Xin; Huang, Weidong

doi:10.1016/j.jcrysgro.2011.05.017

Cited by 2 publications

(3 citation statements)

References 13 publications

(18 reference statements)

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“…where m L is the slope of the liquidus, G L is the temperature gradient, G C is the solute gradient, Γ is the Gibbs-Thompson parameter, T M is the melting point, R 0 is the radius of the sphere, l is the order of spherical harmonic, ξ (l) and L are both functions of l. Recently, we studied the effect of the shear flow on the stability of a spherical interface. [15] We found that the shear flow around the crystal can enhance the stability of the spherical interface. In another paper, [16] we used a perturbation series to obtain the solutions of the temperature and the solute fields.…”

Section: Introductionmentioning

confidence: 79%

“…As for the crystal rotation, which will drive a shear flow around the crystal, we have already discussed its effect on the stability of the spherical crystal interface in a previous paper. [15] In the present work, we focus on the effect of the farfield flow on the stability of the static spherical interface, that is, the effect of the translational motion. Consider a polar coordinate system with the r axis located at the center of the crystal.…”

Section: Theoretical Modelmentioning

confidence: 99%

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Linear stability analysis on a spherical particle growing from a binary melt under the far-field flow

Cao¹,

Lin²,

Wang³

et al. 2012

Chinese Phys. B

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The solutions of temperature and solute fields around a spherical crystal growing from a binary melt under the far-field flow are obtained. Based on the results, a linear stability analysis on the spherical interface growing from the binary melt under the far-field flow is performed. It is found that the constitutional supercooling effect ahead of the spherical crystal interface under the far-field flow is enhanced compared with that without the flow. The growth rate of the perturbation amplitude at the up-wind side of the spherical crystal interface is larger than that at the down-wind side. The critical stability radius of the crystal interface decreases with the increasing far-field flow velocity. Under the far-field flow, the whole spherical interface becomes more unstable compared with that without the flow.

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Section: Introductionmentioning

confidence: 79%

Section: Theoretical Modelmentioning

confidence: 99%

Linear stability analysis on a spherical particle growing from a binary melt under the far-field flow

Cao¹,

Lin²,

Wang³

et al. 2012

Chinese Phys. B

Self Cite

View full text Add to dashboard Cite

show abstract

“…In our previous work, [19] we used perturbation series to obtain the solutions of temperature field and solute field under far-field flow. In our another paper, [20] the influence of a three-dimensional (3D) shear flow on morphological stability of a globular crystal interface was investigated. We used the Laplace equation modified by material derivatives to solve the temperature and solute fields.…”

Section: Introductionmentioning

confidence: 99%

The effect of two-dimensional shear flow on the stability of a crystal interface in a supercooled melt

Cao¹,

Lin²,

Wang³

et al. 2012

Chinese Phys. B

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A model is developed based on the time-related thermal diffusion equations to investigate the effects of two-dimensional shear flow on the stability of a crystal interface in the supercooled melt of a pure substance. Similar to the three-dimensional shear flow as described in our previous paper, the two-dimensional shear flow can also be found to reduce the growth rate of perturbation amplitude. However, compared with the case of the Laplace equation for a steady-state thermal diffusion field, due to the existence of time partial derivatives of the temperature fields in the diffusion equation the absolute value of the gradients of the temperature fields increases, therefore destabilizing the interface. The circular interface is more unstable than in the case of Laplace equation without time partial derivatives. The critical stability radius of the crystal interface increases with shearing rate increasing. The stability effect of shear flow decreases remarkably with the increase of melt undercooling.

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The effect of 3-dimensional shear flow on the stability of a crystal interface in the supercooled binary melt

Cited by 2 publications

References 13 publications

Linear stability analysis on a spherical particle growing from a binary melt under the far-field flow

Linear stability analysis on a spherical particle growing from a binary melt under the far-field flow

The effect of two-dimensional shear flow on the stability of a crystal interface in a supercooled melt

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