Andrey V. Kuznetsov
Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695, USA
Abstract
The objective of this paper is to discuss the theory of free surface flows with solidification. This type of open-channel flows is relevant to a number of important manufacturing processes, such as the horizontal continuous casting of carbon steel. Since carbon steel is a binary alloy, in formulating a mathematical model in addition to accounting for fluid flow and heat transfer, it is also necessary to account for the solute transport and for the two-phase region (the mushy zone) effects. Difficulties of the theory are discussed.