采用不同黏性处理方法的宽无叶扩压器不稳定流动研究

胡晨星; 杨策

doi:10.6052/0459-1879-19-207

采用不同黏性处理方法的宽无叶扩压器不稳定流动研究

doi: 10.6052/0459-1879-19-207

胡晨星,
杨策

北京理工大学机械与车辆学院,北京 100081

基金项目: 1) 国家自然科学基金资助项目(51736001)

详细信息

通讯作者:
杨策

中图分类号: O357
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出版历程
- 收稿日期: 2019-07-29
- 刊出日期: 2019-11-18

STUDY ON INSTABILITY OF THE WIDE VANELESS DIFFUSER WITH DIFFERENT TREATMENTS OF VISCOSITY

School of Mechanical Engineering,Beijing Institute of Technology,Beijing 100081, China

摘要

摘要: 径向无叶扩压器的全局稳定性可能受到核心主流失稳,出口回流与壁面边界层分离等因素影响,对于宽无叶扩压器,无黏核心主流与壁面边界层流动对不稳定扰动诱发的作用机理是当前研究的重点.本文首先通过数值计算获得了大宽度比孤立无叶扩压器平均流动,然后基于小扰动理论和周向均质假设,分别对欧拉方程与 Navier-Stokes 方程进行线性化,建立了基于无黏核心流动的稳定性分析方法,以及基于涡黏性与分子黏性的混合稳定性分析方法;通过与实验结果的对比,验证了混合稳定性分析方法预测所得流动失稳频率和全局直接模态的准确性;最后基于伴随方法获得了特征值的结构敏感性,揭示了不同黏性处理条件下宽无叶扩压器内全局不失稳扰动的源发区域.在只考虑核心主流的无黏条件下,宽无叶扩压器内流动不稳定扰动来源于流场中部,为二维的离心失稳;在同时考虑核心主流与边界层的作用时,宽无叶扩压器不稳定扰动不仅来源于扩压器流场中部的核心主流,壁面回流对于不稳定扰动的产生了重要影响.
- 宽无叶扩压器 /
- 不稳定流动 /
- 特征值 /
- 敏感性分析
Abstract: The global stability of vaneless diffuser in the centrifugal compressor is often influenced by the main flow stability, backflow at exit and the boundary layer separation. For the vaneless diffuser with large axial width ratio, the effect of the main flow and boundary layer on the instability perturbations is the main subject. In this paper, the mean flow of the wide vaneless diffuser is firstly obtained with numerical simulations. The Eulers' and Navier-Stokes equations are linearized respectively based on the small perturbations assumption. Then the inviscid stability approach considering the inviscid main flow and the mixed stability approach considering the effect of both eddy viscosity and molecular viscosity are established. The prediction results are validated against the experimental results. At last, the structural sensitivity based on the adjoint method is adopted. And the wave-maker region is revealed under different treatments of viscosity. The instability perturbations are located at the middle of the flow field when inviscid main flow is only considered. And a centrifugal instability maybe the main cause of the vaneless diffuser stall. When the inviscid main flow and boundary layer are both considered, the wave-maker region not only lies at the main flow near the middle of the vaneless diffuser, but also lies at the reverse flow region of the boundary layer.
- wide vaneless diffuser /
- flow instability /
- eigenvalue /
- sensitivity analysis

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参考文献(1)

1	朱报祯, 郭涛 . 离心压缩机. 西安: 西安交通大学出版社, 1989
1	( Zhu Baozhen, Guo Tao. Centrifugal Compressor Xi' an: Xi'an Jiaotong University Press Xi'an Jiaotong University Press, 1989 (in Chinese))
2	高闯 . 离心压缩机无叶扩压器失速与系统喘振先兆分析研究. [博士论文]. 上海: 上海交通大学, 2011
2	( Gao Chuang . Investigation and analysis of vaneless diffuser stall and system surge precursor. [PhD Thesis]. Shanghai: Shanghai Jiao Tong University, 2011 (in Chinese))
3	Schumann L F. A Three-dimensional axisymmetric calculation procedure for turbulent flows in a radial vaneless diffuser. Journal of Engineering for Gas Turbines & Power, 1984,108(1):118-124
4	Rodgers C, Mnew H. Experiments with a model free rotating vaneless diffuser. Journal of Engineering for Gas Turbines & Power, 1975,97(2):231-245
5	Yang C, Zhang D, MA C. Investigation into the interaction of centrifugal compressor impeller and vaneless diffuser. Journal of Beijing Institute of Technology (English Edition), 2006,15(3):273-277
6	马超, 王航, 刘云岗 . 小流量下离心压气机无叶扩压器数值模拟及流动分析. 内燃机与动力装置, 2010, ( 5):14-16
6	( Ma Chao, Wang Hang, Liu Yungang, Numerical simulation and flow analysis of the vaneless diffuser of centrifugal compressor in low flow condition. I.C.E.& Powerplant, 2010, ( 5):14-16 (in Chinese))
7	郭强, 竺晓程, 杜朝辉 . 高速离心压缩机旋转失速的三维数值模拟. 推进技术, 2007,28(4):373-377
7	( Guo Qiang, Zhu Xiaocheng, Du Zhaohui, Three-dimensional numerical simulation for rotating stall inside high-speed centrifugal compressor. Journal of Propulsion Technology, 2007,28(4):373-377 (in Chinese))
8	高军, 李佳 . 高超声速边界层中模态转化的数值研究. 力学学报, 2018,50(6):1368-1378
8	( Gao Jun, Li Jia, Numerical investigation of mode exchange in hypersonic boundary layer. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(6):1368-1378 (in Chinese))
9	童福林, 李欣, 于长平等. 高超声速激波湍流边界层干扰直接数值模拟研究. 力学学报, 2018,50(2):197-208
9	( Tong Fulin, Li Xin, Yu Changping, et al. Direct numerical simulation of hypersonic shock wave and turbulent boundary layer interactions. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(2):197-208 (in Chinese))
10	崔光耀, 潘翀, 高琪等. 沟槽方向对湍流边界层流动结构影响的实验研究. 力学学报, 2017,49(6):1201-1212
10	( Cui Guangyao, Pan Chong, Gao Qi, et al. Flow structure in the turbulent boundary layer over directional riblets surfaces. Chinese Journal of Theoretical and Applied Mechanics, 2017,49(6):1201-1212 (in Chinese))
11	Moore FK. Weak rotating flow disturbances in a centrifugal compressor with a vaneless diffuser. Journal of Turbomachinery, 1989,111:442-449
12	Shen F, Zhu XC, Liu PY, et al. A three-dimensional compressible flow model on vaneless diffuser stall. Journal of Shanghai Jiaotong University, 2011,45(11):1725-1730
13	Tsujimoto Y, Yoshida Y, Mori Y. Study of vaneless diffuser rotating stall based on two-dimensional inviscid flow analysis. Journal of Fluids Engineering, 1996,118(1):123-127
14	Abdelhamid AN. Analysis of rotating stall in vaneless diffusers of centrifugal compressors. Canadian Aeronautics and Space Journal, 1980,26:118-128
15	Ljevar S . Rotating stall in wide vaneless diffusers. [Master Thesis]. Ann Arbor: Technische Universiteit Eindhoven (The Netherlands), 2007
16	Jansen W. Rotating stall in a radial vaneless diffuser. ASME Journal of Basic Engineering, 1964,86(4):750-758
17	Senoo Y, Kinoshita Y. Influence of inlet flow condition and geometries of a centrifugal vaneless diffuser on critical flow angle for reverse flow. Journal of Fluids Engineering, 1977,99(1):102-103
18	Senoo Y, Kinoshita Y . Limits of rotating stall and stall in vaneless diffuser of centrifugal compressors//ASME 1978 Gas Turbine Conference and Products Show, London, England, 1978
19	Frigne P, Braembussche RVD. A theoretical model for rotating stall in the vaneless diffuser of a centrifugal compressor. Journal of Engineer for Gas Turbines & Power, 1985,107(2):507-513
20	Tsurusaki H, Munakata A. A study on the rotating stall in vaneless diffusers of centrifugal fans. 2nd report, an analysis of pressure fluctuations. Nihon Kikai Gakkai Ronbunshu B Hen/transactions of the Japan Society of Mechanical Engineers Part B, 1987,53(487):885-893
21	Dou H, Mizuki S. Analysis of the flow in vaneless diffusers with large width-to-radius ratios. Journal of Turbomachinery, 1998,120(1):193-201
22	Johnston JP. On the three-dimensional turbulent boundary layer generated by secondary flow. Journal of Fluids Engineering, 1960,82(1):233-246
23	沈枫, 竺晓程, 杜朝辉 . 离心压缩机无叶扩压器的三维失速模型. 上海交通大学学报, 2011(9):1251-1255
23	( Shen Feng, Zhu Xiaocheng, Du Zhaohui. A three-dimensional stall model for vaneless diffusers of centrifugal compression system. Journal of Shanghai Jiaotong University, 2011(9):1251-1255 (in Chinese))
24	窦华书 . 径向无叶扩压器的稳定性区域. 工程热物理学报, 1994,15(2):166-169
24	( Dou Huashu, The stability regimes of radial vaneless diffuser. Journal of Engineering Thermophysics, 1994,15(2):166-169 (in Chinese))
25	Gudmundsson K, Tim C. Instability wave models for the near-field fluctuations of turbulent jets. Journal of Fluid Mechanics, 2011,689(689):97-128
26	Barkley D. Linear analysis of the cylinder wake mean flow. Epl, 2006,75(5):194-205
27	Turton E, Tuckerman S, Barkley D. Prediction of frequencies in thermosolutal convection from mean flows. Physical Review E Statistical Nonlinear & Soft Matter Physics, 2015,91(4):043009
28	Giannetti F, Luchini P. Structural sensitivity of the first instability of the cylinder wake. Journal of Fluid Mechanics, 2007,581(581):167-197
29	Fani A, Camarri S, Salvetti MV. Stability analysis and control of the flow in a symmetric channel with a sudden expansion. Physics of Fluids, 2012,24(8):084102
30	Juniper P. The effect of confinement on the stability of viscous planar jets and wakes. Journal of Fluid Mechanics, 2010,656(656):309-336
31	Rukes L, Paschereit O, Oberleithner K. An assessment of turbulence models for linear hydrodynamic stability analysis of strongly swirling jets. European Journal of Mechanics - B/Fluids, 2016,59:205-218
32	Oberleithner K, Paschereit O, Wygnanski I. On the impact of swirl on the growth of coherent structures. Journal of Fluid Mechanics, 2014,741(2):156-199
33	Turton E, Tuckerman S, Barkley D. Prediction of frequencies in thermosolutal convection from mean flows. Physical Review E Statistical Nonlinear & Soft Matter Physics, 2015,91(4):043009
34	Tammisola O, Juniper P . Adjoint sensitivity analysis of hydrodynamic stability in a gas turbine fuel injector//ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, Montréal, Canada, 2015
35	Iorio C, González M, Ferrer E. Direct and adjoint global stability analysis of turbulent transonic flows over a NACA0012 profile. International Journal for Numerical Methods in Fluids, 2015,76(3):147-168