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Quasi 2D-Numerical Model of Aerated Flow over Stepped Chutes

Author(s): S. Andre; B. Dewals; M. Pirotton; A. J. Schleiss

Linked Author(s): Anton J. Schleiss, Benjamin J. Dewals

Keywords: Stepped-chutes; Self-aeration; Uneven vertical velocity distribution; Free surface waves; Finite volume; Depth-average; Navier-Stokes equations

Abstract: Aerated flow over stepped chutes is principally studied on laboratory models. Consequently, the obtained design relations have a limited field of application. In order to propose a more general description of the flow, a quasi-2D numerical model is developed. The fluid is considered as an air-water mixture governed by the shallow-water equations. Moreover, a transport equation for air concentration represents the self-aeration of the flow and a coefficient of uneven vertical velocity distribution integrates indirectly the turbulent structures. The paper includes a brief description of the flow behaviour, the quasi-2D model equations, and a comparison of the numerical results with the measured flow characteristics in a 30° stepped flume.

DOI:

Year: 2003

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