INVESTIGATION OF EFFECT OF INTERFACE ENERGY ANISOTROPY ON DENDRITIC GROWTH IN UNIDIRECTIONAL SOLIDIFICATION BY FRONT TRACKING SIMULATION

  • PENG Dongjian ,
  • LIN Xin ,
  • ZHANG Yunpeng ,
  • GUO Xiong ,
  • WANG Meng ,
  • HUANG Weidong
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  • State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072

Received date: 2012-09-21

  Revised date: 2012-11-15

  Online published: 2013-03-11

Abstract

The dendritic growth with the different solid/liquid (S/L) interface energy anisotropies in theunidirectional solidification has been investigated using the self-consistent front tracking model. It is found that,for a given solidification condition, there were two kind of interface shape solutions with the different spacing Peclect number ranges. The interface shape with the small spacing Peclect number range was similar with cellular tip, and that with the large spacing Peclect number range referred to dendritic tip.The higher S/L interface energy anisotropy was in favor of the widening of the dendritic growth solution range. There was a certain power exponential relationship between the dendritic tip marginal stability parameterσ* and the S/L interface energy anisotropic parameter E4. A modified Fisher dendritic tip solution, which considered the effect of S/L interface energy anisotropy, was obtained as follows: RIMS=2.5646[гDL/Vk0T0]0.5E4-0.1905,△T0=mC0(k0-1)/k0. The undercooling in front of the S/L interface decreased with increasing the anisotropic parameter. The primary dendritic spacing mainly depended on the interaction of solute diffusion field between the adjacent dendrite, and the S/L interface energy had little influence on the primary dendritic spacing due to its localized effect on the solute diffusion field near the dendritic tip.

Cite this article

PENG Dongjian , LIN Xin , ZHANG Yunpeng , GUO Xiong , WANG Meng , HUANG Weidong . INVESTIGATION OF EFFECT OF INTERFACE ENERGY ANISOTROPY ON DENDRITIC GROWTH IN UNIDIRECTIONAL SOLIDIFICATION BY FRONT TRACKING SIMULATION[J]. Acta Metall Sin, 2013 , 49(3) : 365 -371 . DOI: 10.3724/SP.J.1037.2012.00556

References

[1] Kessler D A, Koplik J, Levine H.Adv Phys, 1988; 37: 255


[2] Kessler D A, Levine H.Phys Rev, 1986; 33B: 7867

[3] Barbieri A, Hong D C, Langer J S.Phys Rev, 1987; 35A: 1802

[4] Xu J J.Phys Rev, 1991; 43A: 930

[5] Xu J J, Pan Z X.J Cryst Growth, 1993; 129: 666

[6] Xu J J.Phys Rev, 1996; 53E: 5051

[7] Kurz W, Fisher D J.Acta Metall, 1981; 29: 11

[8] Hunt J D, McCartney D G.Acta Metall, 1987; 35: 89

[9] Trivedi R.J Cryst Growth, 1980; 48: 93

[10] Langer J S, Muller-Krumbhaar H.Acta Metall, 1978; 26: 1681

[11] Muller-Krumbhaar H, Langer J S.Acta Metall, 1978; 26: 1697

[12] Chalmers B.Principle of Solidification. New York: Wiley, 1964: 105

[13] Shan B W, Huang W D, Lin X, Wei L.Acta Metall Sin, 2008; 40: 1042

(单博伟, 黄卫东, 林鑫, 魏雷. 金属学报, 2008; 40: 1042)

[14] Utter B, Bodenschatz E.Phys Rev, 2005; 72E: 011601

[15] Li C X, San J C, Guo T M, Wang H, Wang F X.J Synthetic Cryst, 2005; 34: 870

(李晨希, 伞晶超, 郭太明, 王宏, 王凤翔. 人工晶体学报, 2005; 34: 870)

[16] Wang Z J.PhD Disertation, Northwestern Polytechnical University, Xi'an, 2009

(王志军. 西北工业大学博士学位论文, 西安, 2009)

[17] Lu S Z, Hunt J D.J Cryst Growth, 1992; 123: 17

[18] Lin X, Li Y M, Liu Z X, Li T, Huang W D.Sci Technol Adv Mater, 2001; 2: 293

[19] Patankar S V.Numerical Heat Transfer and Fluid Flow. London: Hemisphere Publishing Corp, 1970: 30

[20] McCartney D G, Hunt J D.Metall Trans, 1984; 15A: 983

[21] Lipton J, Glicksman M E, Kurz W.Metall Trans, 1987; 18A: 341

[22] Somboonsuk K, Mason J T, Trivedi R.Metall Trans, 1984; 15A: 967

[23] Burden M H, Hunt J D.J Cryst Growth, 1974; 22: 109

[24] Karma A, Sarkissian A.Metall Mater Trans, 1996; 27A: 635

[25] Hunziker O, Vandyoussefi M, Kurz W.Acta Mater, 1998; 46: 6325

[26] Langer J S.Rev Mod Phys, 1980; 52: 1

[27] Warren J A, Langer J S.Phys Rev, 1993; 47E: 2702

[28] Langer J S, Muller-Krumbhaar H.J Cryst Growth, 1977; 42: 11

[29] Kurz W, Fisher D J.Acta Metall, 1981; 29: 11

[30] Trivedi R.J Cryst Growth, 1980; 48: 93

 
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