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Erschienen in:
1996 | OriginalPaper | Buchkapitel
Swirling Flow with Helical Vortex Core in a Draft Tube Predicted by a Vortex Method
verfasst von : X. M. Wang, M. Nishi
Erschienen in: Hydraulic Machinery and Cavitation
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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A mathematical model is proposed in this paper to describe the swirling flow with spiral vortex core in a draft tube. In the model, it is assumed that the flow in the circular cross-section is given by the sum of an axisymmetric base flow and that induced by an infinite helical vortex filament in a pipe. The corresponding computer program is developed where a series of the image vortex filaments is considered so as to satisfy the boundary condition at the pipe wall, providing that the flow rate, swirl rate and circulation of incoming flow are prescribed as input values. The velocity distribution in the cross-section and the rotating frequency of vortex core are calculated and compared with experimental results in draft tubes. The reasonable agreement between them is obtained.