J Austral Math Soc Ser B 38 pp63--86, 1996.

Nonlinear free-surface flows emerging from vessels and flows under a sluice gate

J. Asavanant and J.-M. Vanden-Broeck

Abstract

Steady two-dimensional flows in a domain bounded below by an infinite horizontal wall and above by a semi-infinite horizontal wall, a vertical wall and a free surface are considered. The fluid is assumed to be inviscid and incompressible, and gravity is taken into account. The problem is solved numerically by series truncation. It is shown that for a given length of the vertical wall, there are two families of solutions. One family is characterized by a continuous slope at the separation point and a limiting configuration with a stagnation point and a 120° angle corner at the separation point. The other family is characterized by a stagnation point and a 90° angle comer at the separation point. Flows under a sluice gate with and without a rigid lid approximation upstream are also considered.

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Authors

J. Asavanant

J.-M. Vanden-Broeck

Department of Mathematics and Center for the Mathematical Sciences, University of Wisconsin-Madison, Madison, WI 53705.