粗糙壁面诱导的流动转捩数值模拟方法

李虹杨; 郑赟; 刘大响

doi:10.13224/j.cnki.jasp.2016.09.026

粗糙壁面诱导的流动转捩数值模拟方法

doi: 10.13224/j.cnki.jasp.2016.09.026

1. 北京航空航天大学能源与动力工程学院, 北京 100191;
2. 先进航空发动机协同创新中心, 北京 100191

详细信息

作者简介:
李虹杨(1989-),男,辽宁凌源人,博士生,研究领域为流热耦合数值模拟、转捩预测及仿真.buaalihy@hotmail.edu.cn

中图分类号: V211.3
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- 被引次数: 0
出版历程
- 收稿日期: 2014-12-23
- 刊出日期: 2016-09-28

Numerical simulation method of roughness induced transition

1. School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;
2. Collaborative Innovation Center for Advanced Aero-Engine, Beijing 100191, China

摘要

摘要: 为预测粗糙壁面诱导的流动转捩，对Langtry提出的γ-Re_θ转捩模型增加粗糙壁面的比耗散率和涡黏性的边界条件，并对模型中的经验关联函数——转捩动量厚度雷诺数进行修正，引入等效沙粒表面粗糙度作为变量，使模型具有一定的预测粗糙壁面诱导的流动转捩的能力.对粗糙平板自然转捩算例和变压力梯度平板绕流算例进行数值模拟，计算结果与风洞实验数据符合的较好.主要结论如下：表面粗糙度一般会增加边界层内的传热系数和阻力系数，同时使层流到湍流的转捩位置提前；自然转捩的转捩位置受表面粗糙度影响较大，与光滑壁面相比，平板算例中0.15mm的表面粗糙度使转捩位置提前40%；分离诱导转捩的转捩位置受表面粗糙度影响较弱，随着表面粗糙度逐渐增加，转捩位置和分离泡位置略有后移，且分离泡强度逐渐减弱，分离泡之后的阻力系数增加.
- 转捩 /
- 表面粗糙度 /
- 边界层 /
- 转捩模型 /
- 间歇因子
Abstract: For the purpose of simulating roughness induced transition, the boundary conditions of turbulent dissipation rate and eddy viscosity for rough surface were added to Langtry's γ-Re_θ transition model; furthermore, equivalent sand surface roughness height was introduced to rewrite the correlation equations of the transition momentum thickness Reynolds number, making it appropriate for roughness-induced transition. Numerical simulation was made by referring to the wind tunnel data of several rough flat plate experiments and variable-pressure-gradient plate experiment, in which the results were satisfactory. Main conclusions are made as follows:surface roughness will enhance the heat transfer, increase the skin friction coefficient and shift the transition position upstream in general compared with smooth cases; effects for natural transition is significant, as surface roughness of 0.15 mm could shift the transition position upstream about 40%; while affect for separating induced transition is weaker; with the increase of surface roughness, transition position and separating bubble position are shifted backwards a little, the strength of separating bubble becomes weaker while the friction coefficient increases.
- transition /
- surface roughness /
- boundary layer /
- transition model /
- intermittency factor

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参考文献(37)

[1]	Walker G J.The role of laminar-turbulent transition in gas turbine engines:a discussion[J].Journal of Turbomachinery,1993,115(2):207-216.
[2]	Lorenz M,Schulz A,Bauer H J.Predicting rough wall heat transfer and skin friction in transitional boundary layers:a new correlation for bypass transition onset[J].Journal of Turbomachinery,2013,135(4):819-832.
[3]	Langtry R B,Menter F R.Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes[J].AIAA Journal,2009,47(12):2894-2906.
[4]	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.
[5]	Roberts S K,Yaras M I.Boundary-layer transition over rough surfaces with elevated free-stream turbulence[R].ASME Paper GT2004-53668,2004.
[6]	李本威,李冬,沈伟,等.涡轮叶片粗糙度对其性能衰退的影响研究[J].航空计算技术,2009,39(5):26-29. LI Benwei,LI Dong,SHEN Wei,et al.Research on turbine lamina roughness influence on its performance declination[J].Aeronautical Computing Technique,2009,39(5):26-29.(in Chinese)
[7]	Bogard D G,Schmidt D L,Tabbita M.Characterization and laboratory simulation of turbine airfoil surface roughness and associated heat transfer[J].Journal of Turbomachinery,1998,120(2):337-342.
[8]	Bons J P,Taylor R P,McClain S T,et al.The many faces of turbine surface roughness[J].Journal of Turbomachinery,2001,123(4):739-748.
[9]	Turner A B,Tarada F H A,Bayley F J.Effects of surface roughness on heat transfer to gas turbine blades[R].AGARD-CP-390,1985.
[10]	Boyle R J.Infrared low temperature turbine vane rough surface heat transfer measurements[J].Journal of Turbomachinery,2001,123(1):168-177.
[11]	Boyle R J,Stripf M.Simplified approach to predicting rough surface transition[J].Journal of Turbomachinery,2009,131(4):1345-1357.
[12]	Stripf M,Schulz A,Bauer H J.Surface roughness and secondary flow effects on external heat transfer of a HP turbine vane[J].ISABE 2005-1116,2005.
[13]	Stripf M,Schulz A,Bauer H J.Modeling of rough-wall boundary transition and heat transfer on turbine airfoils[J].Journal of Turbomachinery,2008,130(2):1139-1151.
[14]	Suzen Y B,Huang P G.An intermittency transport equation for modeling flow transition[R].AIAA-2000-0287,2000.
[15]	Walters D K,Leylek J H.A new model for boundary-layer transition using a single-point RANS approach[J].Journal of Turbomachinery,2004,126(1):193-202.
[16]	符松,王亮.基于雷诺平均方法的高超音速边界层转捩模拟[J].中国科学:G辑,2009,39(4):617-626. FU Song,WANG Liang.Simulation of hypersonic boundary-layer transition based on Reynolds-average method[J].Science in China:G Mathematics,2009,39(4):617-626.(in Chinese)
[17]	Langtry R B,Menter F R.Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes[J].AIAA Journal,2004,47(12):2894-2906.
[18]	Yoshiara T,Sasaki D,Nakahashi K.Conjugate heat transfer simulation of cooled turbine blades using unstructured-mesh CFD solver[R].AIAA-2011-498,2011.
[19]	Khayatzadeh P,Nadarajah S.Laminar-turbulent flow simulation for wind turbine profiles using the γ-Re_θ transition model[J].Journal of Wind Energy,2014,17(6):901-918.
[20]	郑赟,李虹杨,刘大响.γ-Re_θ转捩模型在高超声速下的应用及分析[J].推进技术,2014,35(3):296-304. ZHENG Yun,LI Hongyang,LIU Daxiang.Application and analysis of γ-Re_θ transition model in hypersonic flow[J].Journal of Propulsion Technology,2014,35(3):296-304.(in Chinese)
[21]	ZHANG Xiaodong,GAO Zhenghong.A numecal research on a compressibility-correlated langtry's transition model for double wedge boundary layer flows[J].Chinese Journal of Aeronautics,2011,24(3):249-257.
[22]	Stripf M,Schulz A,Bauer H J,et al.Extended models for transitional rough wall boundary layers with heat transfer:Part Ⅰ model formulations[R].ASME Paper GT2008-50494,2008.
[23]	Stripf M,Schulz A,Bauer H J,et al.Extended models for transitional rough wall boundary layers with heat transfer:Part Ⅱ model validation and benchmarking[R].ASME Paper GT2008-50495,2008.
[24]	Taylor R P,Coleman H W,Hodge B K.A discrete element prediction approach for turbulent flow over rough surfaces[R].Mississipp Sate University Report TFD-84-1,1984.
[25]	Taylor R P,Coleman H W,Hodge B K.Prediction of turbulent rough-wall skin friction using a discrete element approach[J].Journal of Fluids Engineering,1985,107(2):251-257.
[26]	Boyle R J,Stripf M.Simplified approach to predicting rough surface transition[J].Journal of Turbomachinery,2009,131(4):819-832.
[27]	Lorenz M,Schulz A,Bauer H J.Predicting rough wall heat transfer and skin friction in transitional boundary layers:a new correlation for bypass transition onset[J].Journal of Turbomachinery,2012,135(4):819-832.
[28]	XIAO Zhixiang,ZHANG Minghua,FU Song.Studies of roughness-induced transition using three-equation k-ω-γ transition/turbulence model[R].AIAA-2013-3111,2013.
[29]	Hellsten A,Seppo L.Extension of the k-ω SST turbulence model for flows over rough surfaces[J].AIAA 97-3577,1997.
[30]	Menter F R,Langtry R,V lker S.Transition modelling for general purpose CFD codes[J].Flow Turbulence and Combustion,2006,77(1/2/3/4):277-303.
[31]	Langtry R B.A correlation-based transition model using local variables for unstructured parallelized CFD codes.[D].Stuttgart,Germany:University of Stuttgart,2006.
[32]	陈懋章.粘性流体动力学基础[M].北京:高等教育出版社,2002.
[33]	郑赟.基于非结构网格的气动弹性数值方法研究[J].航空动力学报,2009,24(9):2069-2077. ZHENG Yun.Computational aero-elasticity with an unstructured grid method[J].Journal of Aerospace Power,2009,24(9):2069-2077.(in Chinese)
[34]	肖大启,郑赟,杨慧.轴向间距对转子叶片气动激励的影响[J].航空动力学报,2012,27(10):2307-2313. XIAO Daqi,ZHENG Yun,YANG Hui.Effect of axial spacing on aerodynamic excitation of rotor blade[J].Journal of Aerospace Power,2012,27(10):2307-2313.(in Chinese)
[35]	Wang T,Matthew C R.Effect of elevated free-stream turbulence on transitional flow heat transfer over dual-scaled rough surfaces[J].Journal of Heat Transfer,2005,127(4):393-403.
[36]	Pinson M W,Wang T.Effect of two-scale roughness on boundary layer transition over a heated flat plate:Part Ⅱ boundary layer structure[J].Journal of Turbomachinery,2000,122(2):308-316.
[37]	LOU Weiliang,Jean H.Separation bubbles under steady and periodic-unsteady main flow conditions[J].Journal of Turbomachinery,2000,22(4):634-643.