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Published online by Cambridge University Press: 24 October 2008
Consider the two-dimensional irrotational steady flow of an incompressible inviscid fluid under no body forces between two infinite horizontal planes. When a vertical wall which intersects the upper plane is introduced in the flow, the fluid will flow under the wall and will be bounded above by a free streamline along which the pressure is constant. This configuration is called a sluice gate. At infinity the flow will be uniform and parallel with input velocity V and exit velocity U.