ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Application of Circumferentially Averaged Method in Fan/Booster
Received date: 2013-04-09
Revised date: 2013-07-04
Online published: 2013-07-15
Supported by
National Natural Science Foundation of China (50736007, 51006005, 51236001)
The governing equations of a throughflow model are derived by circumferentially averaging the three-dimensional (3D) Navier-Stokes equations, which are solved using a time marching finite volume approach. In order to rapidlly obtain the performance predictions and flow fields of fan/booster in the preliminary design stage, the rebiability of circumferentially averaged method (CAM) is investigated. A high throughflow fan/booster is evaluated by 3D numerical simulation NUMECA and a circumferentially averaged throughflow model. The results reveal that the performance predicted by NUMECA at the near design point is very close to the 3D results, with a maximum error under 2.0%. As the passage shock can be captured by circuferentially averaged method in the fan, which is physically at variance with the 3D averaged results, the total pressure ratio and adiabatic efficiency radial distributions are somewhat different from the 3D computation results. In the subsonic flow, the radial distributions of blade rows in the booster and bypass fit well with the 3D simulation results.
WAN Ke , ZHU Fang , JIN Donghai , GUI Xingmin . Application of Circumferentially Averaged Method in Fan/Booster[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(1) : 132 -140 . DOI: 10.7527/S1000-6893.2013.0333
[1] Smith L H, Jr. The radial-equilibrium equation of turbomachinery[J]. Journal of Engineering for Power, 1966, 88(1): 1-12.
[2] Jin H L, Jin D H, Li X J, et al. A time-marching throughflow model and its application in transonic axial compressor[J]. Journal of Thermal Science, 2010, 19(6): 519-525.
[3] Horlock J H, Denton J D. A review of some early design practice using computational fluid dynamics and a current perspective[J]. Transactions of the ASME Journal of Turbomachinery, 2005, 127(1): 5-13.
[4] Denton J D, Dawes W N. Computational fluid dynamics for turbomachinery design[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 1999, 213(2): 107-124.
[5] Spurr A. The prediction of 3D transonic flow in turbomachinery using a combined throughflow and blade-to-blade time marching method[J]. International Journal of Heat Fluid Flow, 1980, 2(4): 189-199.
[6] Baralon S, Erikson L E, Hall U. Validation of a throughflow time-marching finite-volume solver for transonic compressors, ASME Paper, 1998-GT-47[R]. 1998.
[7] Li X J, Jin H L, Gui X M. Performance numerical investigation of double-channel fan/compressor[J]. Journal of Aerospace Power, 2009, 24(12): 2719-2726. (in Chinese) 李晓娟, 金海良, 桂幸民. 风扇/增压级内外涵联算的特性数值模拟[J]. 航空动力学报, 2009, 24(12): 2719-2726.
[8] Simon J F, Leonard O. Modeling of 3-D losses and deviations in a throughflow analysis tool[J]. Journal of Thermal Science, 2007, 16(3): 1-7.
[9] Jin H L. Application of circumferentional average method in multistage axial fan/compressor design and analysis[D]. Beijing: School of Energy and Power Engineering, Beihang University, 2011. (in Chinese) 金海良. 周向平均方法在多级轴流风扇/压气机设计与分析中的应用[D]. 北京: 北京航空航天大学能源与动力工程学院, 2011.
[10] Wan K, Jin H L, Jin D H, et al. Influence of non-axisymmetric terms on circumferentially averaged method in fan/compressor[J]. Journal of Thermal Science, 2013, 22(1): 13-22.
[11] Zhu F, Jin D H, Gui X M. Corner flow control in high through-flow axial commercial fan/booster using blade 3-D optimization[J]. Journal of Thermal Science, 2012, 21(1): 32-41.
[12] Baralon S, Erikson L E, Hall U. Evaluation of high-order terms in the throughflow approximation using 3D Navier-Stokes computations of a transonic compressor rotor. ASME Paper[R], 1999-GT-74, 1999.
[13] Simon J F. Contribution to throughflow modelling for axial flow turbomachines[D]. Liège: Faculty of Applied Science, University of Liège, 2007.
[14] Ning F F. Numerical investigations of flows in transonic compressors with real geometrical complexities[D]. Beijing: School of Energy and Power Engineering, Beihang University, 2002. (in Chinese) 宁方飞. 考虑真实几何复杂性的压气机内部流动的数值模拟[D]. 北京: 北京航空航天大学能源与动力工程学院, 2002.
[15] Gentry R A, Martin R E, Daly B J. An Eulerian differencing method for unsteady compressible flow problems[J]. Journal of Computational Physics, 1966, 1(1): 87-118.
[16] Bosman C, Marsh H. An improved method for calculating the flow in turbo-machines, including a consistent loss model[J]. Journal of Mechanical Engineering Science, 1974, 16(1): 25-31.
[17] Edwards J R. A low-diffusion flux-splitting scheme for Navier-Stokes calculations[J]. Computers and Fluids, 1997, 26(6): 635-659.
[18] Frost G R, Wennerstrom A J. The design of axial compressor airfoils using arbitrary camber lines, ARL-73-0107 (AD 765165)[R]. 1973.
[19] Ji G F, Gui X M. A blading design method for axial/centrifugal compressor airfoils using arbitrary camber lines[J]. Journal of Aerospace Power, 2009, 24(1): 150-156. (in Chinese) 冀国锋, 桂幸民. 轴流/离心压气机通用任意中弧造型设计方法研究[J]. 航空动力学报, 2009, 24(1): 150-156.
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