ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Transition Model Assessment and Modification in Low-pressure Turbine Cascade
Received date: 2012-07-31
Revised date: 2012-11-09
Online published: 2012-11-20
Supported by
National Natural Science Foundation of China (51006006, 51136003); National Basic Research Program of China (2012CB720205); Aeronautical Science Foundation of China (2010ZB51025)
In order to assess and improve the prediction accuracy of existing transition models, numerical investigations on low-pressure turbine cascade T106-EIZ are conducted with five models: laminar, turbulence, shear stress transport (SST) low Reynolds model, k-kl-ω model and γ-Reθ model, by using computational fluid dynamics (CFD) software FULENT 12.1. The laminar and turbulence models are used as the baseline models for testing the last three transition models. Their ability to accurately simulate transition and related parameters is also evaluated by comparison with the experimental results. Subsequently, the comparison results and mechanisms of models are analyzed. The results show that no model can accurately predict separated flow transition and wake-induced transition, while the γ-Reθ model is slightly better than the others. A new method of modifying the γ-Reθ model is proposed by correcting the constant ca1 and ca2 in the transport equation of intermittency factor, and the results show that this method is quite effective in improving prediction accuracy.
Key words: transition model; γ-Reθ model; modification; T106-EIZ; low-pressure turbine cascade
LUO Tianpei , LIU Yangwei , LU Lipeng . Transition Model Assessment and Modification in Low-pressure Turbine Cascade[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013 , 34(7) : 1548 -1562 . DOI: 10.7527/S1000-6893.2013.0273
[1] Ye J. Large-eddy simulation of blade boundary layer spatio-temporal evolution under unsteady disturbances. Beijing: School of Jet Propulsion, Beihang University, 2008. (in Chinese) 叶建. 非定常环境中叶片边界层时空演化机制的大涡模拟. 北京: 北京航空航天大学能源与动力工程学院, 2008.
[2] Jone W P, Launder B E. The calculation of low Reynolds number phenomena with a two-equation model of turbulence. International Journal of Heat and Mass Transfer, 1973, 16(6): 1119-1130.
[3] Launder B E, Sharma B. Application of energy-dissipation model of turbulence to the calculation of flow near a spinning disc. Letters in Heat and Mass Transfer, 1974, 1: 131-137.
[4] van Driest E R, Blumer C B. Boundary layer transition, free-stream turbulence, and pressure gradient effects. AIAA Journal, 1963, 1(6): 1303-1306.
[5] Abu-Ghannam B J, Shaw R. Natural transition of boundary layers-the effects of turbulence, pressure gradient, and flow history. Journal of Mechanical Engineering Science, 1980, 22(5): 213-228.
[6] Mayle R E. The role of laminar-turbulent transition in gas turbine engines. Journal of Turbomachinery, 1991, 113(4): 509-537.
[7] Fasihfar A, Johnson M W. An improved boundary layer transion correlation. International Gas Turbine and Aeroengine Congress and Exposition. Germany: Department of Mechanical Engineering, The University of Liverpool, 1992: 1-7.
[8] Praisner T J, Clark J P. Predicting transition in trubomachinery—Part I: a review and new model development. Journal of Turbomachinery, 2007, 129(1): 1-13.
[9] Edwards J R, Blottner F G, Hassan H G, et al. Development of a one-equation transition/turbulence model. AIAA Journal, 2001, 39(9): 1691-1698.
[10] Wang C, Perot B. Prediction of turbulent transition in boundary layers using the turbulent potential model. Journal of Tubulence, 2002(3): 1-15.
[11] Walters D K, Leylek J H. A new model for boundary layer transition using a single-point RANS approach. Journal of Turbomachinery, 2004, 126(1): 193-202.
[12] Stadtmuller P, Fottner L. A test case for the numerical investigation of wake passing effects on a highly loaded LP turbine cascade blade. The 46th ASME International Gas Turbine & Aeroengine Technical Congress, Exposition and Users Symposium, 2001.
[13] Menter F R. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, 1994, 32(8): 1598-1605.
[14] Waletrs D K, Cokljat D. A three-equation eddy-viscosity model for Reynolds-averaged Navier-Stokes simulations of transitional flow. Journal of Fluids Engineering, 2008, 130(12): 12-25.
[15] Menter F R, Langtry R B, Likki S R, et al. A correlation-based transition model using local variables-Part 1: model formulation. Journal of Turbomachinery, 2006, 128(3): 413-422.
[16] Cardamone P, Stadtmuller P. Numerical investigation of the wake-boundary layer interaction on a highly loaded LP turbine cascade blade. Proceeding of ASME TURBO EXPO 2002, 2002.
[17] Wang D H, Lu L P, Li Q S. Improvement on S-A model for compressor flow based on turbulence transport nature. Journal of Aerospace Power, 2010, 25(1): 80-86. (in Chinese) 王丹华, 陆利蓬, 李秋实. 基于湍流输运特性对S-A模型在压气机角区流动模拟中的改进研究. 航空动力学报, 2010, 25(1): 80-86.
[18] Liu Y W, Lu L P, Fang L, et al. Modification of Spalart-Allmaras model with consideration of turbulence energy backscatter using velocity helicity. Physics Letters A, 2011, 375(24): 2377-2381.
[19] Pecnik R, Sanz W, Pieringer P. Numerical investigation of unsteady boundary layer transition induced by periodically passing wakes with a intermittency transport equation. ASME Turbo Expo 2004: Power for Land, Sea and Air, 2004.
[20] Zhou Y, Qian W Q, Deng Y Q, et al. Introductory analysis of the influence of Menter’s k-ω SST turbulence model’s parameters. Acta Aerodynamica Sinica, 2010, 28(2): 213-217. (in Chinese) 周宇, 钱炜祺, 邓有奇, 等. k-ω SST两方程湍流模型中参数影响的初步分析. 空气动力学学报, 2010, 28(2):213-217.
[21] Ren N X, Ou J P. Numerical Simulation for Pneumatic characteristics for two-dimension airfoils large wind turbine. Acta Energiae Solaris Sinica, 2009, 30(8): 1087-1091. (in Chinese) 任年鑫, 欧进萍. 大型风力机二维翼型气动性能数值模拟. 太阳能学报, 2009, 30(8): 1087-1091.
/
〈 | 〉 |