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Abstract
Whether the bubble is trapped by the sold/liquid interface or not depends on its dynamic behaviour ahead of the interface. Thus, a mathematical model has been developed to investigate the movement of the bubble near the advancing solid/liquid interface. Based on the boundary layer theory, the velocity distribution near the solid/liquid interface was obtained. The motion of bubble was studied by using the particle's trajectory model. The results show that the behaviour of the bubble is controlled by the physical property of the bubble and the fluid flow near the solid/liquid interface. In the continuous casting machine, the bubble can reach the solid/liquid interface if it moves in the stream directed upward or downward near the vertical solid/liquid interface or in the horizontal flow under the solid/liquid interface. However, the bubble cannot reach the solid/liquid interface if it moves in the horizontal flow above the solid/liquid interface.