Suppression of Secondary Flows in a Turbine Nozzle With Controlled Stacking Shape and Exit Circulation by 3D Inverse Design Method

Watanabe, Hiroyoshi; Harada, Hideomi

doi:10.1115/99-gt-072

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…As mentioned above, the blade For different type of hydraulic machines, both the blade loading and stacking condition should be different; it depends on the specific flow conditions. By controlling blade loading parameters and stacking conditions (blade lean) simultaneously, the secondary flows can be minimized or suppressed effectively [20,[43][44][45][46][47].…”

Section: Suppression Of Cavitationmentioning

confidence: 99%

Three-Dimensional Inverse Design Method for Hydraulic Machinery

2019

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Hydraulic machinery with high performance is of great significance for energy saving. Its design is a very challenging job for designers, and the inverse design method is a competitive way to do the job. The three-dimensional inverse design method and its applications to hydraulic machinery are herein reviewed. The flow is calculated based on potential flow theory, and the blade shape is calculated based on flow-tangency condition according to the calculated flow velocity. We also explain flow control theory by suppression of secondary flow and cavitation based on careful tailoring of the blade loading distribution and stacking condition in the inverse design of hydraulic machinery. Suggestions about the main challenge and future prospective of the inverse design method are given.

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Section: Suppression Of Cavitationmentioning

confidence: 99%

Three-Dimensional Inverse Design Method for Hydraulic Machinery

2019

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“…The streamline curvature method plays an important role in the preliminary design phase of radial [1][2][3][4] and axial turbomachinery applications 5 because of its simple and compact equations, definite physical meanings, and straightforward solving algorithm. In the method, the velocity profile on the stream surface is specified by solving the S2m stream surface velocity gradient equation.…”

Section: Introductionmentioning

confidence: 99%

A new finite difference method to solve the velocity gradient equation in streamline curvature method

Gong

Zhang

2016

Advances in Mechanical Engineering

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For the inverse proposition design of a three-dimensional centrifugal impeller using the streamline curvature method, the cubic spline curve fitting method is extensively used to solve the velocity gradient equation. Given the deficiency in stability with the cubic spline curve fitting method, a new finite difference method is proposed to solve the velocity gradient equation on the S2m stream surface. In the finite difference scheme, the relative velocity derivative along the streamline direction is decomposed into two terms. One term uses forward difference, and the other uses backward difference. The difference schemes of all other parameter derivatives in the velocity gradient equation adopt forward difference. The method can guarantee the matrix main diagonal elements of the dominant, indicating stable convergence in solving the velocity field. Robustness analysis is performed for both methods, and the new finite difference method shows excellent superiority in stability. Finally, the finite difference method is applied to redesign the Krain impeller. Through computational fluid dynamics, the efficiency of the redesigned impeller at the design operating point is increased by approximately 0.3% and the pressure ratio by approximately 5%. These results show that the difference method is feasible to solve the S2m stream surface velocity gradient equation.

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On the Coupling of Inverse Design and Optimization Techniques for the Multiobjective, Multipoint Design of Turbomachinery Blades

Bonaiuti

Zangeneh

2009

Journal of Turbomachinery

119

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Automatic optimization techniques have been used in recent years for the aerodynamic and mechanical design of turbomachine components. Despite the many advantages, their use is usually limited to simple applications in industrial practice, because of their high computational cost. In this paper, an optimization strategy is presented, which enables the three-dimensional multipoint, multiobjective aerodynamic optimization of turbomachinery blades in a time frame compatible with industrial standards. The design strategy is based on the coupling of three-dimensional inverse design, response surface method, multiobjective evolutionary algorithms, and computational fluid dynamics analyses. The blade parametrization is performed by means of a three-dimensional inverse design method, where aerodynamic parameters, such as the blade loading, are used to describe the blade shape. Such a parametrization allows for a direct control of the aerodynamic flow field and performance, leading to a major advantage in the optimization process. The design method was applied to the redesign of a centrifugal and of an axial compressor stage. The two examples confirmed the validity of the design strategy to perform the three-dimensional optimization of turbomachine components, accounting for both design and off-design performance, in a time-efficient manner. The coupling of response functions and inverse design parametrization also allowed for an easy sensitivity analysis of the impact of the design parameters on the performance ones, contributing to the development of design guidelines that can be exploited for similar design applications.

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Suppression of Secondary Flows in a Turbine Nozzle With Controlled Stacking Shape and Exit Circulation by 3D Inverse Design Method

Cited by 3 publications

References 9 publications

Three-Dimensional Inverse Design Method for Hydraulic Machinery

Three-Dimensional Inverse Design Method for Hydraulic Machinery

A new finite difference method to solve the velocity gradient equation in streamline curvature method

On the Coupling of Inverse Design and Optimization Techniques for the Multiobjective, Multipoint Design of Turbomachinery Blades

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