Abstract

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.

Highlights

  • Hydraulic machinery such as pumps, turbines, and reversible turbines is one of the most important pieces of mechanical equipment for energy conversion

  • The inverse design method (IDM) of hydraulic machinery mainly consists of two parts: One part is the calculation of the flow field; and the other part is calculating the geometry of the blade

  • The three-dimensional IDM based on potential flow theory and flow tangential condition for hydraulic machinery is reviewed

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Summary

Introduction

Hydraulic machinery such as pumps, turbines, and reversible turbines is one of the most important pieces of mechanical equipment for energy conversion. The inverse design method (IDM) of hydraulic machinery mainly consists of two parts: One part is the calculation of the flow field; and the other part is calculating the geometry of the blade. The flow calculation approach in this three-dimensional IDM is based on potential flow theory without viscosity. A three-dimensional IDM based on potential flow theory of hydraulic machinery is reviewed in this paper, and its main challenge and future perspective are discussed.

Basic Idea
Calculation of Circumferentially-Averaged
Calculation of Periodic Velocity
Blade Geometry Calculation Based on Flow Tangential Condition
Convergency of the Inverse Design Method
Main Input Design Parameters
Suppression of Secondary Flow
Effect
Simulated
Calculated pressure Cp coefficient
Blade loading specified based secondary flow control corresponding
Simulated velocity vectors onon both suction and shroud surface of blade
Suppression
Application of the Inverse Design Method to Optimization
Conclusions
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