中国物理B ›› 1993, Vol. 2 ›› Issue (10): 782-790.doi: 10.1088/1004-423X/2/10/009

• • 上一篇    

SCALING LAW FOR CBr4-C2Cl6 LAMELLAR EUTECTIC IN DIRECTIONAL SOLIDIFICATION

刘俊明, 刘治国, 吴状春   

  1. State Key Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210008, China
  • 收稿日期:1992-07-27 修回日期:1993-01-08 出版日期:1993-10-20 发布日期:1993-10-20

SCALING LAW FOR CBr4-C2Cl6 LAMELLAR EUTECTIC IN DIRECTIONAL SOLIDIFICATION

LIU JUN-MING (刘俊明), LIU ZHI-GUO (刘治国), WU ZHUANG-CHUN (吴状春)   

  1. State Key Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210008, China
  • Received:1992-07-27 Revised:1993-01-08 Online:1993-10-20 Published:1993-10-20

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摘要： A coupling equation of directional solidification of CBr4(α)-C2Cl6(β) eutectic is solved numerically. Profiles and profile bifurcation of the solidifying interface as functions of the interlamellar spacing are studied in detail. It is believed that the critical bifurcating point of the solidifying interface of each lamella coincides with its marginally stable position and hence, a new scaling law is derived. Existence of the band of spacing selection is also studied. For a given solidifying rate, the critical bifurcating point of β/liquid interface is the upper limit of this band, and its lower limit corresponds to the critical bifurcating point of α/liquid interface. Our analyses interpret the latest relevant experimental data reasonably.

Abstract: A coupling equation of directional solidification of CBr4($\alpha$)-C2Cl6($\beta$) eutectic is solved numerically. Profiles and profile bifurcation of the solidifying interface as functions of the interlamellar spacing are studied in detail. It is believed that the critical bifurcating point of the solidifying interface of each lamella coincides with its marginally stable position and hence, a new scaling law is derived. Existence of the band of spacing selection is also studied. For a given solidifying rate, the critical bifurcating point of $\beta$/liquid interface is the upper limit of this band, and its lower limit corresponds to the critical bifurcating point of $\alpha$/liquid interface. Our analyses interpret the latest relevant experimental data reasonably.

中图分类号:  (Solidification)

  • 81.30.Fb
64.70.D- (Solid-liquid transitions) 68.08.-p (Liquid-solid interfaces)