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  • 1
    Electronic Resource
    Electronic Resource
    Solutal convection during directional solidification of a binary alloy: Influence of side walls (1988)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 2086-2092 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this study the effect of rigid side walls on the onset of solutal convection in the melt is investigated for upward solidification of a binary alloy. The physics is described by the Navier–Stokes equations in the Boussinesq approximation and by the balance of solute, which is coupled with the appropriate boundary conditions. By using a Tau–Chebyshev spectral method the numerical resolution of the perturbed system has been carried out for two alloys: lead–tin, which is the reference in the literature, and lead–thallium, which is currently under study. For both cases the lateral confinement has a stabilizing effect for all the aspect ratios that have been considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866661
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Onset of solutal convection during directional solidification of a binary alloy in a cylinder (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 1873-1879 
    Details
    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
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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