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Title: Effect of weak convection on lamellar spacing of eutectics
Authors: Ma, D.
Jie, W.Q.
Li, Y. 
Ng, S.C. 
Issue Date: 22-May-1998
Citation: Ma, D.,Jie, W.Q.,Li, Y.,Ng, S.C. (1998-05-22). Effect of weak convection on lamellar spacing of eutectics. Acta Materialia 46 (9) : 3203-3210. ScholarBank@NUS Repository.
Abstract: An asymptotic expansion method is proposed to solve the convection-diffusion equation which governs the directional solidification of eutectic alloys under the condition of weak convection at low Peclet number. The so-called weak convection is defined here as the condition for which the velocity of convective flow and its gradient ahead of the S/L interface are both relatively small. Our analysis shows that such weak convective flow will give rise to an increase of eutectic lamellar spacing since the convection produces a slight shift of solute concentration profile at the interface and a decrease of eutectic growth undercooling. Our analytical results are compared with other models and have been applied to some practical cases such as weak forced convection induced by a rotating disk and natural convection induced by solutal and thermal differences in solidification processing. Calculations for two typical eutectic alloys, Pb-Sn and Al-Cu, are performed in order to reveal schematically the effect of weak convective flow on eutectic growth. © 1998 Acta Metallurgica Inc.
Source Title: Acta Materialia
ISSN: 13596454
Appears in Collections:Staff Publications

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