Free surface flow past a semi-infinite inclined plate with zero gravity

In this paper, we study the problem of two-dimensional free surface flows past an inclined plate infinite length. The Riabouchinsky model is considered. fluid assumed to be inviscid and incompressible flow steady irrotational. For study, effects gravity tension are negligible. This solved by using two methods. first method allow us compute analytical solution employing Schwarz-Christoffel mapping. other numerically series truncation method. obtained results showed a good agreement between numerical exact solution.