A Mathematical Model of the Hydrodynamic Pressure Acting on a Turbine Runner Blade under the Rotor-Stator Interaction Based on the Quasi-Three-Dimensional Finite Element Method
| Autor: | Tinghao Li, Aijun Fu, Wang Yujiang, Zhaojun Li, Fuxiu Liu |
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| Rok vydání: | 2021 |
| Předmět: |
Article Subject
Blade (geometry) Computer simulation 020209 energy General Mathematics General Engineering 02 engineering and technology Mechanics Engineering (General). Civil engineering (General) 01 natural sciences Turbine Finite element method 010305 fluids & plasmas Physics::Fluid Dynamics Rotor–stator interaction Distribution (mathematics) Position (vector) 0103 physical sciences Node (physics) QA1-939 0202 electrical engineering electronic engineering information engineering TA1-2040 Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2021 (2021) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2021/6657812 |
| Popis: | In this paper, a turbine runner blade under hydraulic excitation was taken as the object of study and the mathematical hydrodynamic pressure model of a turbine runner blade under the rotor-stator interaction was established using quasi-three-dimensional finite element model. The regularity of the distribution of the hydrodynamic pressure was then investigated. First, the quasi-three-dimensional finite element model of a runner blade was established using the quasi-three-dimensional theory. Next, according to the pressure distribution from the numerical simulation, the mathematical mean pressure model of a node was established using the relative pressure difference method; the pressure fluctuation was then established taking the rotor-stator interaction into consideration. Then, based on the mean pressure and the pressure fluctuation of a node, the mathematical hydrodynamic pressure model for any position of a runner blade was obtained. Finally, the feasibility of the mathematical model was verified by an example analysis, and the internal relationship between the hydrodynamic pressure and its hydraulic parameters and the structural parameters of the blade was revealed, which provides a theoretical basis for further study of the dynamic characteristics of turbine runner blades under the rotor-stator interaction. |
| Databáze: | OpenAIRE |
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