On flow of binary alloys during crystal growth

The topic of this review article is about some aspect of flow during alloy solidification and the corresponding research development that has been accomplished in the recent years to determine the features of such flows, which obey either linear or weakly nonlinear system of the relevant governing equations and the boundary conditions for the associated fluid mechanics and heat or mass transfer. Modeling efforts, the associated analyses and the numerical computations are reviewed in the absence or presence of rotation both for single-layer case, where a mushy layer of composed solid dendrites and liquid melt exists above the solid portion of the alloy, and for double-layer case, where, in addition to the mushy layer, a liquid layer lies over the mushy layer.published or submitted for publicationis peer reviewe