A steady solution of the gasar eutectic growth in directional solidification

doi:10.1088/1674-1056/22/7/078101

Abstract This paper presents the general mathematical model on gasar eutectic growth in directional solidification. Using multiple scale expansion and matching method, we obtain the global steady solution of gasar eutectic growth as the Peclet number ε«1, where ε is defined as the ratio of half an inter-pore spacing and solutal diffusion length. We also give the interfacial shape and predict the porosity of gasar eutectic growth. Results show that porosity is mainly determined by external pressure above metal melt and independent of pulling velocity. Our predicted results are in agreement with experimental data.

Keywords: porosity solidification gasar eutectic growth asymptotic solution

Received: 24 October 2012
Revised: 05 January 2013
Accepted manuscript online:

PACS:	81.30.Fb	(Solidification)
	66.30.je	(Diffusion of gases)
	44.05.+e	(Analytical and numerical techniques)
	51.10.+y	(Kinetic and transport theory of gases)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51201078, 51164018, and u0837603).

Corresponding Authors: Li Xiang-Ming
E-mail: lixiangming04@163.com

Cite this article:

Li Xiang-Ming (李向明), Li Wen-Qiong (李文琼), Jin Qing-Lin (金青林), Zhou Rong (周荣) A steady solution of the gasar eutectic growth in directional solidification 2013 Chin. Phys. B 22 078101

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A steady solution of the gasar eutectic growth in directional solidification

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