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


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.

Copyright © 2009 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 3

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

Grahic Jump Location
Figure 2

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

Grahic Jump Location
Figure 1

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




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