WD
Department
Mathematics Department
Research Interests
Analyse fonctionnelle
Mécaniques des fluides, Analyse
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Recent Publications
2024-07-15
Approximate Analytic Solution of a Potential Flow Around an Obstacle
The present study aims to solve analytically a free surface flow above a trapezoidal obstacle with angle β=π/3. The flow which forms different angles β with the horizontal plane, is assumed to be steady, irrotational and potential. The fluid is considered as inviscid and incompressible. In addition, the gravity and surface tension effects are not taken into consideration. An approximate analytical solution of the free surface shape problem was successfully determined using the Shwartz-Christoffel conformal mapping transformation technique and the free streamline theory which was introduced by Kirchhoff. The main results were obtained for different values of the inclination angle β between the trapezoidal obstacle and the axis of the struts.
Citation
M. DELLOUM Wahiba, (2024-07-15), "Approximate Analytic Solution of a Potential Flow Around an Obstacle", [national] Mathematical Modelling of Engineering Problems , IIETA