Numerical investigation of the cavitation dynamic parameters in a Francis turbine draft tube with columnar vortex rope

Numerical investigation of the cavitation dynamic parameters in a Francis turbine draft tube with columnar vortex rope
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柱状涡绳混流式水轮机尾水管空化动力参数的数值研究

DOI:
10.1007/s42241-019-0035-z
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发表时间:
2019-04
影响因子:
2.5
通讯作者:
Wang ZW
Wang ZW
中科院分区:
工程技术3区
文献类型:
--
作者:
Yang Jing;Zhou LJ;Wang ZW

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众所周知,混流式水轮机尾水管内产生的空化是水力不稳定的一个源头,尤其是在尾水管内出现柱状空化涡带的情况下。由于复杂空化涡带的动态特性,水力系统将面临自激和高压脉动的风险。空化动态特性与水力系统稳定性之间的联系对于准确预测系统不稳定至关重要。为此,利用Zwart - Gerber - Belamri(ZGB)空化模型对过载工况下运行的混流式水轮机内的空化流动进行了模拟。本文分析并比较了不同空化发展阶段的空化动态参数以及在各种过载条件下的演变情况。结果表明,包括空化柔度、质量流量增益因子和波速在内的空化动态参数能够很好地体现随着涡带演变的空化特性。预测的空化动态参数与其他现有结果合理吻合,且对负荷有明显的依赖性。本研究所得结果与系统稳定性分析相关。
The cavitation developed in the Francis turbine draft tube is known to be a source of the hydraulic instability, especially under the conditions with columnar cavitation vortex rope occurring in the draft tube. The hydraulic system will suffer from the risk of the self-excitation and the high pressure pulsations because of the dynamic features of the complex cavitation vortex rope. The links between the cavitation dynamic characteristics and the hydraulic system stability are important for an accurate system instability prediction. For this purpose, the cavitating flows in a Francis turbine operating under the overload conditions are simulated by using the Zwart-Gerber-Belamri (ZGB) cavitation model. The cavitation dynamic parameters in different cavitation development stages and the evolutions under various overload conditions are analyzed and compared in this paper. It is shown that the cavitation dynamic parameters, including the cavitation compliance, the mass flow gain factor and the wave speed, can well represent the cavitation characteristics with the vortex rope evolution. The predicted cavitation dynamic parameters are in a reasonable agreement with other available results, with an obvious dependency on the loads. The results obtained in this study are relevant to the system stability analysis.
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