Hydraulic analysis of free-surface flows with solidification (Q1573730)

The paper is concerned with one-dimensional analysis of a plane open-channel flow with continuous solidification. The bottom of the channel consists of a rotating casting roll and a horizontal cooling table, where the solidified material is withdrawn with a given velocity. The study is restricted to the region downstream of the top of the casting roll. Surface tension is neglected. In the main part of the analysis, the fluid is considered inviscid since in applications Reynolds number is very large. It is found that steady-state solutions are nonunique in a certain parameter range: in addition to a continuous solution, there are two solutions including hydraulic jumps. As regards the stability of nonunique solutions, the evolution of disturbances is investigated numerically as an initial value problem.