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Technical Briefs

Gibbs–Thomson Effect on Spherical Solidification in a Subcooled Melt

[+] Author and Article Information
Yeong-Cheng Lai, Hsieh-Chen Tsai

Department of Mechanical Engineering, National Taiwan University, Taipei 106, Taiwan, R.O.C.

Chun-Liang Lai1

Department of Mechanical Engineering, National Taiwan University, Taipei 106, Taiwan, R.O.C.cllai@ntu.edu.tw

1

Corresponding author.

J. Heat Transfer 131(9), 094501 (Jun 19, 2009) (4 pages) doi:10.1115/1.3133883 History: Received November 02, 2007; Revised March 20, 2009; Published June 19, 2009

This study aims to investigate theoretically the growth of a spherical nucleus due to solidification in an infinite domain of a subcooled melt. The effects on the spherical growth due, respectively, to the subcooling, the Gibbs–Thomson condition, and the density-difference induced convection are analyzed and discussed systematically. With the Gibbs–Thomson effect considered, no exact solutions can be found easily. Thus, a binomial temperature distribution in the liquid phase is reasonably assumed to approximate the actual one with the satisfaction of the energy balance at the solidification front and other boundary conditions.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

The Gibbs–Thomson effect on the spherical growth of a small nucleus

Grahic Jump Location
Figure 2

The Gibbs–Thomson effect on the growth rate of a spherical nucleus

Grahic Jump Location
Figure 3

The Gibbs–Thomson effect on the temperature distribution of the melt at two different stages during growth

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