Numerical Discuss to Complete Empirical Correlation in Langtry’s Transition Model
-
摘要: 近年来,基于RANS环境下引入预测转捩过程的模型越来越受到各国学者的关注.Langtry于2006年提出了一种基于当地变量进行转捩判据的模型,但这个转捩模型有两个核心的经验关系式直到2009年才公开.该文在对转捩模型机理进行分析理解的同时,通过对低速平板表面摩擦因数模拟试验的校核,提出了一套基于来流湍流度修正的经验关系式.并针对高超声速转捩问题对转捩动量厚度开始修正式进行了改进,最后通过对低速、跨音速翼型和高Ma双楔平板的计算,证明这一套经验关系式的可靠性与实用性.Abstract: Recently, introducing a transition predicting model in to RANS environment was paidore and more attention to. Langtry proposed a correlation-based transition model in 2006,which was built strictly on local variables. However, two core correlations had not been pubished by the originator of the model until 2009. The mechanism of this transition model was anlyzed and discussed, after a series of numerical validations in skin friction coefficien to fflatlate boundary layers, a new correlation based on freestream turbulence in ten sity was developed, and the empirical correlation of transition onset momentum thickness Reynold number aiming at the hyperson ic transition was miproved. Finally, low-speed/transonic airfoil and a hypersonic double wedge flatare tested to prove the reliability and practicab ility of this correlation.
-
[1] Van Ingen J L. A Suggested Semi-Empirical Method for the Calculation of the Boundary Layer Transition Region[D]. Technical Report VTH-74,Netheland: Delft University of Technology, 1956:8-26. [2] Menter F R, Langtry R B, Likki S R, et al. A correlation based transition model using local variables part 1: model formulation[J]. Journal of Turbomachinery, 2006, 128(3): 413-422. doi: 10.1115/1.2184352 [3] Langtry R B, Menter F R, Likki S R, et al. A correlation based transition model using local variables part 2: test cases and industrial applications[J]. Journal of Turbomachinery, 2006, 128(3): 423-434. doi: 10.1115/1.2184353 [4] Langtry R B. A Correlation-Based Transition Model Using Local Variables for Unstructured Parallelized CFD Codes[D]. PhD Thesis. Stuttgart, Germany: University Stuttgart, 2006. [5] Langtry R B. Florian R menter. Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes[J].AIAA Journal, 2009, 47(12):2894-2906. doi: 10.2514/1.42362 [6] 王亮,符松. 一种适用于超音速边界层的湍流转捩模式[J].力学学报, 2009, 41(2):162-168. [7] 许丁,马晖扬.高超声速边界层工程转捩模式研究[J].中国科学院研究生院学报, 2009, 26(1):43-49. [8] Mayle R E. The role of laminar-turbulent transition in gas turbine engines[J]. Journal of Turbomachinery, 1991, 113(4): 509-537. doi: 10.1115/1.2929110 [9] Abu-Ghannam B J, Shaw R. Natural transition of boundary layers-the effects of turbulence, pressure gradient, and flow history[J]. Journal of Mechanical Engineering Science, 1980, 22(5): 213-228. doi: 10.1243/JMES_JOUR_1980_022_043_02 [10] Dhawan D, Narasimha R. Some properties of boundary layer flow during transition from laminar to turbulent motion[J]. Journal of Fluid Mechanics, 1958, 3(4): 418-436. doi: 10.1017/S0022112058000094 [11] Van Driest E R, Blumer C B. Boundary layer transition: freestream turbulence and pressure gradient effects[J]. AIAA Journal, 1963, 1(6): 1303-1306. doi: 10.2514/3.1784 [12] Wilcox D C. Turbulence Modeling for CFD[M]. Canada: DCW Industries, 1993. [13] Savill A M.Some Recent Progress in the Turbulence Modeling of Bypass Transition[C]So R M C, Speziale C G, Launder B E Eds.Near Wall Turbulent Flows. Amsterdam:Elsevier Science,1993: 829-848. [14] 张晓东,高正红.Langtry转捩模型在航空气动力计算上的研究[C]第十四届全国计算流体力学会议论文集(上).贵阳: 第十四届全国计算流体力学会议编委会, 2009:118-124. [15] Misaka T, Obavashi S. Application of Local Correlation-Based Transition Model to Flow Around Wings[R]. AIAA Paper 2006-918, 2006. [16] 陈奕. 航空气动计算中的转捩预测方法研究[D].西安:西北工业大学硕士学位论文, 2008. [17] Reshotko E. Is Reθ/Me a Meaningful Transition Criterion?[R]. AIAA Paper 2007-943, 2007. [18] Neuenhahn T, Olivier H. Influence of the Wall Temperature and the Entropy Layer Effects on Double Wedge Shock Boundary Layer Interactions[R]. AIAA Paper 2006-8136, 2006. [19] Reinartz B U, Ballmann J. Numerical Investigation of Wall Temperature and Entropy Layer Effects on Double Wedge Shock /Boundary Layer Interactions[R]. AIAA Paper 2006-8137, 2006.
点击查看大图
计量
- 文章访问数: 1915
- HTML全文浏览量: 147
- PDF下载量: 1015
- 被引次数: 0