Electronic Resource
New York, NY
:
American Institute of Physics (AIP)
Physics of Fluids
3 (1991), S. 1873-1879
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
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 α=1 is obtained when the aspect ratio β of the cylinder is less than about 6.5. At this value a transition to axisymmetric modes (α=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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.858211
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