Numerical analyses of pressure fluctuations induced by interblade vortices in a model Francis turbine
Interblade vortices can greatly influence the stable operations of Francis turbines. As visible interblade vortices are essentially cavitating flows, i.e., the ones to cause interblade vortex cavitations, an unsteady simulation with a method using the RNG k- ？ turbulence model and the Zwart-Gerber-B...
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| Published in | Journal of hydrodynamics. Series B Vol. 27; no. 4; pp. 513 - 521 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Singapore
Elsevier Ltd
01.08.2015
Springer Singapore |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1001-6058 1878-0342 |
| DOI | 10.1016/S1001-6058(15)60511-X |
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| Abstract | Interblade vortices can greatly influence the stable operations of Francis turbines. As visible interblade vortices are essentially cavitating flows, i.e., the ones to cause interblade vortex cavitations, an unsteady simulation with a method using the RNG k- ？ turbulence model and the Zwart-Gerber-Belamri（ZGB） cavitation model is carried out to predict the pressure fluctuations induced. Modifications of the turbulence viscosity are made to improve the resolutions. The interblade vortices of two different appearances are observed from the numerical results, namely, the columnar and streamwise vortices, as is consistent with the experimental results. The pressure fluctuations of different frequencies are found to be induced by the interblade vortices on incipient and developed interblade vortex lines, respectively, on the Hill diagram of the model runner＇s parameters. From the centrifugal Rayleigh instability criterion, it follows that the columnar interblade vortices are stable and the streamwise interblade vortices are unstable in the model Francis turbine. |
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| AbstractList | Interblade vortices can greatly influence the stable operations of Francis turbines. As visible interblade vortices are essentially cavitating flows, i.e., the ones to cause interblade vortex cavitations, an unsteady simulation with a method using the RNG k – ɛ turbulence model and the Zwart-Gerber-Belamri (ZGB) cavitation model is carried out to predict the pressure fluctuations induced. Modifications of the turbulence viscosity are made to improve the resolutions. The interblade vortices of two different appearances are observed from the numerical results, namely, the columnar and streamwise vortices, as is consistent with the experimental results. The pressure fluctuations of different frequencies are found to be induced by the interblade vortices on incipient and developed interblade vortex lines, respectively, on the Hill diagram of the model runner's parameters. From the centrifugal Rayleigh instability criterion, it follows that the columnar interblade vortices are stable and the streamwise interblade vortices are unstable in the model Francis turbine. Interblade vortices can greatly influence the stable operations of Francis turbines. As visible interblade vortices are essentially cavitating flows, i.e., the ones to cause interblade vortex cavitations, an unsteady simulation with a method using the RNG k-εturbulence model and the Zwart-Gerber-Belamri (ZGB) cavitation model is carried out to predict the pressure fluctuations induced. Modifications of the turbulence viscosity are made to improve the resolutions. The interblade vortices of two different appearances are observed from the numerical results, namely, the columnar and streamwise vortices, as is consistent with the experimental results. The pressure fluctuations of different frequencies are found to be induced by the interblade vortices on incipient and developed interblade vortex lines, respectively, on the Hill diagram of the model runner’s parameters. From the centrifugal Rayleigh instability criterion, it follows that the columnar interblade vortices are stable and the streamwise interblade vortices are unstable in the model Francis turbine. Interblade vortices can greatly influence the stable operations of Francis turbines. As visible interblade vortices are essentially cavitating flows, i.e., the ones to cause interblade vortex cavitations, an unsteady simulation with a method using the RNG k- ？ turbulence model and the Zwart-Gerber-Belamri（ZGB） cavitation model is carried out to predict the pressure fluctuations induced. Modifications of the turbulence viscosity are made to improve the resolutions. The interblade vortices of two different appearances are observed from the numerical results, namely, the columnar and streamwise vortices, as is consistent with the experimental results. The pressure fluctuations of different frequencies are found to be induced by the interblade vortices on incipient and developed interblade vortex lines, respectively, on the Hill diagram of the model runner＇s parameters. From the centrifugal Rayleigh instability criterion, it follows that the columnar interblade vortices are stable and the streamwise interblade vortices are unstable in the model Francis turbine. Interblade vortices can greatly influence the stable operations of Francis turbines. As visible interblade vortices are essentially cavitating flows, i.e., the ones to cause interblade vortex cavitations, an unsteady simulation with a method using the RNG k -ε turbulence model and the Zwart-Gerber-Belamri (ZGB) cavitation model is carried out to predict the pressure fluctuations induced. Modifications of the turbulence viscosity are made to improve the resolutions. The interblade vortices of two different appearances are observed from the numerical results, namely, the columnar and streamwise vortices, as is consistent with the experimental results. The pressure fluctuations of different frequencies are found to be induced by the interblade vortices on incipient and developed interblade vortex lines, respectively, on the Hill diagram of the model runner’s parameters. From the centrifugal Rayleigh instability criterion, it follows that the columnar interblade vortices are stable and the streamwise interblade vortices are unstable in the model Francis turbine. |
| Author | 左志钢 刘树红 刘德民 覃大清 吴玉林 |
| AuthorAffiliation | Department of Thermal Engineering, State Key Laboratory of Hydro Science and Engineering, TsinghuaUniversity, Beijing 100084, China Research and Test Center, Dongfang Electric Machinery Co. Ltd, Deyang 618000, China State Key Laboratory of Hydro-power Equipment, Haerbin 150001, China |
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| Cites_doi | 10.1115/1.1524584 10.1017/CBO9780511616938 10.1098/rspa.1917.0010 10.1142/S0217984905009821 10.1016/S0045-7930(99)00039-0 10.1002/fld.692 10.1115/1.1486223 10.1002/fld.530 10.1115/1.3002318 10.1006/jcph.2002.6992 10.1016/S1001-6058(11)60253-9 |
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| Copyright | 2015 Publishing House for Journal of Hydrodynamics China Ship Scientific Research Center 2015 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | pressure fluctuations Francis turbine interblade vortices Rayleigh instability cavitation |
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| Notes | 31-1563/T interblade vortices； pressure fluctuations； Francis turbine； cavitation； Rayleigh instability Interblade vortices can greatly influence the stable operations of Francis turbines. As visible interblade vortices are essentially cavitating flows, i.e., the ones to cause interblade vortex cavitations, an unsteady simulation with a method using the RNG k- ？ turbulence model and the Zwart-Gerber-Belamri（ZGB） cavitation model is carried out to predict the pressure fluctuations induced. Modifications of the turbulence viscosity are made to improve the resolutions. The interblade vortices of two different appearances are observed from the numerical results, namely, the columnar and streamwise vortices, as is consistent with the experimental results. The pressure fluctuations of different frequencies are found to be induced by the interblade vortices on incipient and developed interblade vortex lines, respectively, on the Hill diagram of the model runner＇s parameters. From the centrifugal Rayleigh instability criterion, it follows that the columnar interblade vortices are stable and the streamwise interblade vortices are unstable in the model Francis turbine. ZUO Zhi-gang , LIU Shu-hong , LIU De-min , QIN Da-qing , Wu Yu-lin （ 1. Department of Thermal Engineering, State Key Laboratory of Hydro Science and Engineering, Tsinghua University, Beijing 100084, China 2. Research and Test Center, Dongfang Electric Machinery Co. Ltd, Deyang 618000, China 3. State Key Laboratory of Hydro-power Equipment, Haerbin 150001, China） |
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| Snippet | Interblade vortices can greatly influence the stable operations of Francis turbines. As visible interblade vortices are essentially cavitating flows, i.e., the... |
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| SubjectTerms | cavitation Engineering Engineering Fluid Dynamics Francis turbine Hydrology/Water Resources interblade vortices Numerical and Computational Physics pressure fluctuations Rayleigh instability Simulation 压力波动 叶道涡 数值分析 数值模拟 涡轮机 湍流模型 稳定运行 轮叶 |
| Title | Numerical analyses of pressure fluctuations induced by interblade vortices in a model Francis turbine |
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