2-DIMENSIONAL STEADY FREE-SURFACE FLOW INTO A SEMIINFINITE MAT SINK

The steady, potential flow of a fluid into a semi-infinite ''mat'' sin k in two dimensions is examined, the mat sink being a region along the flat bottom, where the vertical outflow velocity is specified by - V( x). The fluid possesses a free surface that is drawn right down into t he sink. An integral equation technique is employed and solved numeric ally. Solutions are found for the supercritical case, where the Froude number F>1, and free surface profiles are presented for two different forms of the outflow velocity profile V(x). (C) 1998 American Institu te of Physics. [S1070-6631(98)01611-0].