The free surface fluid flow over a step of an arbitrary shape in a channel

X. Wen; D. B. Ingham; B. Widodo

doi:10.1016/s0955-7997(97)00038-6

The free surface fluid flow over a step of an arbitrary shape in a channel

X. Wen^*, D. B. Ingham, B. Widodo

^*Corresponding author for this work

University of Leeds

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

A boundary integral technique has been developed for the two-dimensional, free surface fluid flow in an arbitrary shaped channel. For steady, ideal, irrotational fluid flow a system of boundary integral equations are derived which are based on the Riemann-Hilbert technique for mixed boundary value problems of an analytical function. The boundary integral equations are solved for the fluid speed on both the solid boundary and the free surface, the shape of the free surface and for the critical Froude number for which waves first occur.

Original language	English
Pages (from-to)	299-308
Number of pages	10
Journal	Engineering Analysis with Boundary Elements
Volume	19
Issue number	4
DOIs	https://doi.org/10.1016/s0955-7997(97)00038-6
Publication status	Published - Jun 1997
Externally published	Yes

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abstract = "A boundary integral technique has been developed for the two-dimensional, free surface fluid flow in an arbitrary shaped channel. For steady, ideal, irrotational fluid flow a system of boundary integral equations are derived which are based on the Riemann-Hilbert technique for mixed boundary value problems of an analytical function. The boundary integral equations are solved for the fluid speed on both the solid boundary and the free surface, the shape of the free surface and for the critical Froude number for which waves first occur.",

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AB - A boundary integral technique has been developed for the two-dimensional, free surface fluid flow in an arbitrary shaped channel. For steady, ideal, irrotational fluid flow a system of boundary integral equations are derived which are based on the Riemann-Hilbert technique for mixed boundary value problems of an analytical function. The boundary integral equations are solved for the fluid speed on both the solid boundary and the free surface, the shape of the free surface and for the critical Froude number for which waves first occur.

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The free surface fluid flow over a step of an arbitrary shape in a channel

Abstract

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