Solidification of multicomponent mixtures is accompanied with rejection of the solute, which is heavier or lighter than the solvent. This process creates density differences due to the concentration and temperature differences across the mixture, which is the driving force for the creation of thermosolutal convection currents. Those convection currents are one of the mechanisms responsible for the solute redistribution in the liquid melt. Thermosolutal convection is important in many applications such as metallurgy [1–3], oceanography , and enhancement of colloidal transport [5–8]. An excellent review that explains thoroughly the physics related to the thermosolutal convection as well as its applications was contributed by Turner . In this brief introduction, we will only focus on the literature on thermosolutal convection related to the solidification of binary mixtures. Beckermann and Viskanta  were among the first researchers who studied thermosolutal transport during a solidification process. They used a hypereutectic solution of water and ammonia, in which the lighter water would be rejected out of the crystallizing phase. They used the one-fluid mixture model as their numerical approach and conducted experimental tests as well. Their results were qualitatively compared with their experiments. They observed that a clockwise rotating flow cell developed in the melt due to thermal convection. However, as time proceeds, a diffusive interface between the top lighter water-rich melt and the bottom heavier ammonia developed. A clockwise rotating cell developed as well in the upper layer. Moreover, due to the high water content of the upper layer, the freezing temperature was significantly lowered, which caused the solidification process to be terminated, the double-diffusive interface vanished, and the melt returned to its initial concentration. Jarvise and Huppert  studied numerically the process of a binary alloy being solidified unidirectionally away from the vertical side. They used two alloys: one that rejects heavier solute than the solvent, and another which rejects lighter solute than the solvent. They found that if the compositionally heavy solute was released from the crystallizing phase, the flow will be driven downward by the thermal and solutal buoyancy currents. However, if the compositionally light fluid is released, there is a possibility of establishment of upward-moving convection. The authors found that the convection cells that resulted during the solidification process depended on the product of the LeB (Lewis number) and the ratio of the thermal and solutal Rayleigh numbers (Γ). For the case of , the flow will be thermally dominated and will exhibit a unidirectional downward flow, whereas for , the compositional effects overcome thermal effects and unidirectional upper flow will occur. Finally, for the case , the boundary layer exhibits counterclockwise flow, with the fluid next to the boundary rising, and the fluid further away sinking. The solidification of a binary mixture from the bottom or the top has been studied extensively experimentally and analytically such in Refs. [12–16].