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.
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
[1]
Shapovalov V I 1993 (US Patent) 5181549
[2]
Yamamura S, Shiota H, Murakami K and Nakajima H 2001 Mater. Sci. Eng. A 318 137
[3]
Park J S, Hyun S K, Suzuki S and Nakajima H 2007 Acta Mater. 55 5646
[4]
Nakajima H 2007 Prog. Mater. Sci. 52 1091
[5]
Zheng Y 1995 Modelling of Solidification of Porous Metal-Hydrogen Alloys (Ph.D. Thesis) (Massachusetts: Massachusetts Institute of Technology)
[6]
Liu Y and Li Y 2003 Scri. Mater. 49 379
[7]
Jackson K A and Hunt J D 1966 Trans. Metall. Soc. AIME 236 1129
[8]
Drenchev L, Sobczak J, Sobczak N, Sha W and Malinov S 2007 Acta Mater. 55 6459
[9]
Chen Y Q, Tang X X and Xu J J 2009 Chin. Phys. B. 18 671
[10]
Chen Y Q, Tang X X and Xu J J 2009 Chin. Phys. B 18 685
[11]
Ding G L, Lin X, Huang W D and Zhou Y H 1997 Acta Phys. Sin. 46 1243 (in Chinese)
[12]
Huang W D, Shang B L and Zhou Y H 1991 Acta Phys. Sin. 40 323 (in Chinese)
[13]
Chen M W, Lan M, Wang Y Y, Wang Z D, Xu J J and Yuan L 2009 Chin. Phys. B 18 1691
[14]
Chen Y J and Davis S H 2001 Acta Mater. 49 1363
[15]
Li X M, Wang Z D and Wang Q Y 2009 J. Appl. Phys. 106 053511
[16]
Li X M and Wang Z D 2010 Chin. Phys. B 19 126401
[17]
Li X M and Wang Z D 2011 J. Cryst. Growth 318 55
[18]
Li X M 2011 Research of the Dendritic Pattern of a Binary Alloy under Effect of the Forced Flow and the Mushy Zone of Dendritic Growth (Ph.D. Thesis) (Beijing: University of Science and Technology of Beijing) (in Chinese)
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
