Author(s): Zbigniew Krzemianowski; Maciej Kaniecki
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Keywords: No Keywords
Abstract: The algorithm (inverse problem) for design of runner blade profiles of the hydraulic turbomachines (hydraulic turbines, pumps) is presented in the paper. A method is based on a two-dimensional axisymmetric flow model. The governing Cartesian equations of fluid mechanics have been transformed into a special system of curvilinear coordinates that significantly simplify a set of conservation equations and make it solve easier. This results in small time-consuming calculations and, additionally, does not require powerful computer resources. Presented model may be applied in designing both axial flow hydraulic machines (i.e. Kaplan turbines) and radial ones (i.e. Francis turbines, diagonal pumps). Three-dimensional blade shape of runner is obtained on the basis of given streamline function in a meridional crosssection. Current paper presents results of calculations carried out for an assumed typical Francis meridional cross-section. The advantages and disadvantages and boundary conditions of the presented model are discussed. In order to validate obtained two-dimensional axisymmetric results threedimensional calculations were carried out using commercial Fluent solver. The differences obtained in both models are also discussed.
Year: 2009