A Free Surface Flow under Gravity

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Date

2024-06-05

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Mohamed Boudiaf University of M’sila, Faculty of Mathematics and Computer Sciences, Departement of Mathematics

Abstract

In this thesis , we have studied numerically a problem of two-dimensional potential flow in a channel with trapezoidal obstacle in the bottom , witch makes an angle = with the axis (xox ) taking into account the effect of gravity but surface tension efforts are neglected. We have used some conformal transformations and series truncation technique for obtain the numerical solution.

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Keywords

Free surface, Potential flow, Schwartz –Christoffel, Transformation, Truncation of the series, Froude number

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