ONSET OF SOLUTAL CONVECTION DURING DIRECTIONAL SOLIDIFICATION OF A BINARY ALLOY IN A CYLINDER

被引:13
作者
GUERIN, RZ [1 ]
BILLIA, B [1 ]
HALDENWANG, P [1 ]
机构
[1] FAC SCI & TECH ST JEROME, COMBUST LAB, CNRS, URA 1117, F-13397 MARSEILLE 13, FRANCE
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1991年 / 3卷 / 08期
关键词
D O I
10.1063/1.858211
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The onset of solutal convection during directional solidification of a binary alloy growing in a cylinder is determined for the axisymmetric and selected nonaxisymmetric flow states. The Tau-Chebyshev projection method is used to solve the system of linearized partial differential equations. The Pb-Tl and Pb-Sn alloy systems are investigated, which, respectively, correspond to k = 1.1 and to k = 0.3. A critical convective pattern with an azimuthal wave number alpha = 1 is obtained when the aspect ratio beta of the cylinder is less than about 6.5. At this value a transition to axisymmetric modes (alpha = 0) is evidenced. Finally, the comparison with previous results for growth in a vertical slot shows the enhancement of the hydrodynamic stability associated to the 3-D confinement by the cylinder.
引用
收藏
页码:1873 / 1879
页数:7
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