Abstract
In directional solidification, compositional convection can be driven by an unstable density gradient in the melt. In this paper convective instabilities in liquid and mushy layers during solidification of a horizontal binary melt are analyzed by using the propagation theory. The self-similar stability equations are used to examine the boundary-mode and mushy-layer-mode of convection. The effects of velocity conditions at the liquid-mush interface on the onset of convection are discussed. The critical Darcy-Rayleigh number for the convection in the mushy layer decreases with increasing the temperature of a cooled boundary.
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This paper is presented on the occasion of professor Chang Kyun Choi’s retirement from the school of chemical and biological engineering of Seoul National University.
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Hwang, I.G., Choi, C.K. Stability of buoyancy-driven convection in directional solidification of a binary melt. Korean J. Chem. Eng. 26, 930–934 (2009). https://doi.org/10.1007/s11814-009-0156-0
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DOI: https://doi.org/10.1007/s11814-009-0156-0