Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect

Yıl 2022, , 52 - 61, 28.06.2022

Abdelkader Laiadi

https://doi.org/10.53508/ijiam.1035806

Öz

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

Anahtar Kelimeler

Free Surface Flow, Zero Gravity, Potential Flow, Schwarz-Christoffel Transformation, Series Truncation

Kaynakça

• Alex Doak, J-M Vanden-Broeck, Nonlinear two-dimensional free surface solutions of flow exiting a pipe and impacting a wedge,J .Eng. Math (2021) 126:8,1-19.