留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

后掠翼边界层定常横流涡的非线性演化

逯学志 赵磊 罗纪生

逯学志, 赵磊, 罗纪生. 后掠翼边界层定常横流涡的非线性演化[J]. 应用数学和力学, 2016, 37(10): 1073-1084. doi: 10.21656/1000-0887.370152
引用本文: 逯学志, 赵磊, 罗纪生. 后掠翼边界层定常横流涡的非线性演化[J]. 应用数学和力学, 2016, 37(10): 1073-1084. doi: 10.21656/1000-0887.370152
LU Xue-zhi, ZHAO Lei, LUO Ji-sheng. Nonlinear Evolution of Stationary Crossflow Vortices in Swept-Wing Boundary Layers[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1073-1084. doi: 10.21656/1000-0887.370152
Citation: LU Xue-zhi, ZHAO Lei, LUO Ji-sheng. Nonlinear Evolution of Stationary Crossflow Vortices in Swept-Wing Boundary Layers[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1073-1084. doi: 10.21656/1000-0887.370152

后掠翼边界层定常横流涡的非线性演化

doi: 10.21656/1000-0887.370152
基金项目: 国家自然科学基金(重点项目)(11332007)
详细信息
    作者简介:

    逯学志(1986—),男,博士生(E-mail: sdwdupc@tju.edu.cn);赵磊(1987—),男,博士生(E-mail: zhaolei_tju@163.com);罗纪生(1954—),男,教授,博士生导师(通讯作者. E-mail: jsluo@tju.edu.cn).

  • 中图分类号: O354.1;V224+.3

Nonlinear Evolution of Stationary Crossflow Vortices in Swept-Wing Boundary Layers

Funds: The National Natural Science Foundation of China(Key Program)(11332007)
  • 摘要: 横流失稳是后掠翼边界层主要的失稳形式.实验和数值研究发现在后掠翼边界层转捩之前,有一段较长的非线性幅值饱和阶段,因此线性稳定性不能有效预测横流失稳转捩过程,所以研究横流涡的非线性演化过程就极为必要.以NLF(2)-0415翼型为研究模型,在来流Mach数为0.8、后掠角为45°、攻角为-4°的条件下,用扰动方程计算了定常横流涡非线性演化过程.结果显示非平行性起着更加不稳定的作用.当基本波的幅值到达0.1时,非线性作用开始明显.横流涡经历了非线性幅值饱和过程,涡的形状呈现半蘑菇状,涡的涡轴与边界层外缘无粘势流平行.饱和涡使得原有流场发生极大的扭曲,流向速度和展向剖面出现了拐点.
  • [1] Joslin R D. Overview of Laminar Flow Control [M]. Virginia: National Aeronautics and Space Administration, Langley Research Center, 1998.
    [2] 周恒, 赵耕夫. 流动稳定性[M]. 北京: 国防工业出版社, 2004: 65-66.(ZHOU Heng, ZHAO Geng-fu. Hydrodynamic Stability [M]. Beijing: National Defense Industry Press, 2004: 65-66.(in Chinese))
    [3] Saric W S, Reed H L, White E B. Stability and transition of three-dimensional boundary layers[J]. Annual Review of Fluid Mechanics,2003,35(1): 413-440.
    [4] Gray W E. The Effect of Wing Sweep on Laminar Flow [M]. Royal Aircraft Establishment, 1952.
    [5] Deyhle H, Bippes H. Disturbance growth in an unstable three-dimensional boundary layer and its dependence on environmental conditions[J]. Journal of Fluid Mechanics,1996,316: 73-113.
    [6] Bippes H. Basic experiments on transition in three-dimensional boundary layers dominated by crossflow instability[J]. Progress in Aerospace Sciences,1999,35(4): 363-412.
    [7] Bippes H, Nitschke-Kowsky P. Experimental study of instability modes in a three-dimensional boundary layer[J]. AIAA Journal,1990,28(10): 1758-1763.
    [8] Bippes H. Instability features appearing on swept wing configurations[C]//Arnal D, Michel R, ed. Laminar-Turbulent Transition.Berlin, Heidelberg: Springer, 1990: 419-430.
    [9] Saric W S, Yeates L G. Experiments on the stability of crossflow vortices in swept-wing flows[C]// 〖STBX〗23rd Aerospace Sciences Meeting.Virginia: Langley Research Center, National Aeronautics and Space Administration, 1985.
    [10] Dagenhart J R, Saric W S. Crossflow stability and transition experiments in swept-wing flow[R]. Virginia: Langley Research Center, National Aeronautics and Space Administration, 1999.
    [11] Bippes H, Müller B. Disturbance growth in an unstable three-dimensional boundary layer[C]//Cebeci T, ed. Numerical and Physical Aspects of Aerodynamic Flows,IV. Berlin, Heidelberg: Springer, 1990: 345-358.
    [12] Reibert M S, Saric W S, Carrillo Jr R B, Chapman K L. Experiments in nonlinear saturation of stationary crossflow vortices in a swept-wing boundary layer[C]//34th Aerospace Sciences Meeting and Exhibit.Reno, NV: AIAA, 1996.
    [13] Gregory N, Stuart J T, Walker W S. On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk[J]. Philosophical Transactions of the Royal Society of London (Series A): Mathematical, Physical and Engineering Sciences,1955,248(943): 155-199.
    [14] Mack L M. On the stability of the boundary layer on a transonic swept wing[C]//17th Aerospace Sciences Meeting.Virginia: National Aeronautics and Space Administration, Langley Research Center, 1979.
    [15] Reed H L, Saric W S, Arnal D. Linear stability theory applied to boundary layers[J]. Annual Review of Fluid Mechanics,1996,28(1): 389-428.
    [16] Malik M R, Li F, Chang C L. Crossflow disturbances in three-dimensional boundary layers: nonlinear development, wave interaction and secondary instability[J]. Journal of Fluid Mechanics,1994,268: 1-36.
    [17] Haynes T S, Reed H L. Computations in nonlinear saturation of stationary crossflow vortices in a swept-wing boundary layer[C]//34th Aerospace Sciences Meeting and Exhibit.Reno, NV: AIAA, 1996.
    [18] H?gberg M, Henningson D. Secondary instability of cross-flow vortices in Falkner-Skan-Cooke boundary layers[J]. Journal of Fluid Mechanics,1998,368: 339-357.
    [19] LUO Ji-sheng, ZHOU Heng. A theoretical investigation of the development of stationary crossflow vortices in the boundary layer on a swept wing[J]. Acta Mechanica Sinica,1998,14(2): 97-103.
    [20] 杨永, 左岁寒, 李喜乐, 李悦立. 基于升华法实验研究后掠翼三维边界层的转捩[J]. 实验流体力学, 2009,23(3): 40-43, 49.(YANG Yong, ZUO Sui-han, LI Xi-le, LI Yue-li. Transition studies for the boundary layer on a swept wing based on sublimation technique[J]. Journal of Experiments in Fluid Mechanics,2009,23(3): 40-43, 49.(in Chinese))
    [21] XU Guo-liang, XIAO Zhi-xiang, FU Song. Secondary instability control of compressible flow by suction for a swept wing[J]. Science China: Physics, Mechanics & Astronomy,2011,54(11): 2040-2052.
    [22] 黄章峰, 逯学志, 于高通. 机翼边界层的横流稳定性分析和转捩预测[J]. 空气动力学报, 2014,32(1):14-20.(HUANG Zhang-feng, LU Xue-zhi, YU Gao-tong. Cross-flow instability analysis and transition prediction of airfoil boundary layer[J]. Acta Aerodynamic Sinica,2014,32(1):14-20.(in Chiese))
    [23] 孙朋朋, 黄章峰. 后掠角对后掠机翼边界层稳定性及转捩的影响[J]. 北京航空航天大学学报, 2015,41(7):1313-1321.(SUN Peng-peng, HUANG Zhang-feng. Effect of the sweep angle on the stability and transition in a swept-wing boundary layer[J]. Journal of Beijing University of Aeronautics and Astronautics,2015,41(7): 1313-1321.(in Chinese))
    [24] 靖振荣, 孙朋朋, 黄章峰. 小攻角对后掠机翼边界层稳定性及转捩的影响[J]. 北京航空航天大学学报, 2015,41(11): 2177-2183.(JING Zhen-rong, SUN Peng-peng, HUANG Zhang-feng. Effect of attack angle on stability and transition in a swept-wing boundary layer[J]. Journal of Beijing University of Aeronautics and Astronautics,2015,41(11): 2177-2183.(in Chinese))
    [25] LI Xin-liang, FU De-xun, MA Yan-wen, LIANG Xian. DNS of shock/boundary layer interaction flow in a supersonic compression ramp[C]//Kuzmin A, ed. Computational Fluid Dynamics 〖STBX〗2010.Berlin, Heidelberg: Springer, 2011: 729-737.
  • 加载中
计量
  • 文章访问数:  1025
  • HTML全文浏览量:  103
  • PDF下载量:  669
  • 被引次数: 0
出版历程
  • 收稿日期:  2016-05-16
  • 修回日期:  2016-07-20
  • 刊出日期:  2016-10-15

目录

    /

    返回文章
    返回