Two-dimensional steady free surface flow into a semi-infinite mat sink

The steady, potential flow of a fluid into a semi-infinite "mat" sink 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 the sink. An integral equation technique is employed and solved numerically. 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 Institute of Physics. [S1070-6631(98)01611-0].