A Note on the Impact of a Jet on a Porous Wall

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Abstract
The problem of determining the free surface of a jet of ideal fluid which is incident on a porous wall is reconsidered. Consideration of the w and d w /d z hodograph planes reveals a curved boundary which cannot be conformally transformed onto a simple region using standard transformations. The use of a generalized Schwarz-Christoffel transformation, however, enables this shape to be mapped onto a half-plane and, when appropriate boundary conditions are applied, results in the free surface being described by an ordinary differential equation. Numerical and asymptotic solutions to this equation are given and a comparison with previous results is made.

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