Abstract
The steady plane flow in a jet, falling under gravity from a slot in a horizontal plane, is studied. The fluid is incompressible and inviscid, the flow is irrotational, and the reciprocal e of the Froude number lies in the range 0 < ε ⩽ ½π A constructive proof of the existence of the solution of a nonlinear integral equation describing the free stream line is given. As ε → 0 this solution reduces to known formal approximations. The method is then applied to a class of related problems.
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