ZHANG Yong-ming, ZHOU Heng. Numerical Study of Local Boundary Layer Receptivity to Freestream Vortical Disturbances[J]. Applied Mathematics and Mechanics, 2005, 26(5): 505-211.
Citation: ZHANG Yong-ming, ZHOU Heng. Numerical Study of Local Boundary Layer Receptivity to Freestream Vortical Disturbances[J]. Applied Mathematics and Mechanics, 2005, 26(5): 505-211.

Numerical Study of Local Boundary Layer Receptivity to Freestream Vortical Disturbances

  • Received Date: 2004-08-17
  • Rev Recd Date: 2005-01-12
  • Publish Date: 2005-05-15
  • Method of direct numerical simulation was used for the investigation of the local receptivity of a 2-D boundary layer of a flat plate to harmonic vortical disturbances in the freestream. Under the interaction of the vortical disturbances in the freestream and the roughness element on the wall, Tollmein-Schlichting (T-S) waves were generated and detected in the boundary layer, thus confirming that the wavelength conversion mechanism and the local receptivity exist. Numerical simulations were performed to obtain the relations between the amplitude of the generated T-S wave and the amplitude of freestream disturbance, the roughness height, and the width of rectangular roughness elements, which agree with those obtained from experiments. Then the range of validity of the linear receptivity formula, which was determined by these relations, also agrees with that determined by experimental results.
  • loading
  • [1]
    Morkovin M V.On the many faces of transition[A].In: Wells C S Ed.Vicious Drag Reduction[C].New York: Plenum, 1969,1—31.
    [2]
    Reshotko E. Boundary-layer stability and transition[J].Annual Review of Fluid Mechanics,1976,8:311—349. doi: 10.1146/annurev.fl.08.010176.001523
    [3]
    Kerschen E.Boundary layer receptivity[R]. AIAA Paper,1989.
    [4]
    Zavol'skii N A, Reutov V P, Rybushkina G V. Generation of Tollmien-Schlichting waves via scattering of acoustic and votex perturbations in boundary layer on a wavy surface[J].Journal of Applied Mechanics and Technical Physics,1983,24(3):355—361.
    [5]
    LUO Ji-sheng, ZHOU Heng. On the generation of Tollmien-Schlichting waves in the boundary layer of a flat plate by the disturbances in the free stream[J].Proceedings of the Royal Society of London, Series A,1987,413(1845):351—367. doi: 10.1098/rspa.1987.0119
    [6]
    WU Xue-song. Generation of Tollmien-Schlichting waves by convecting gusts interacting with sound[J].Journal of Fluid Mechanics,1999,397:285—316. doi: 10.1017/S0022112099006114
    [7]
    Ditez A J. Local boundary-layer receptivity to a convected free-stream disturbance[J].Journal of Fluid Mechanics,1999,378:291—317. doi: 10.1017/S0022112098003243
    [8]
    WU Xue-song. On local boundary-layer receptivity to vortical disturbances in the free stream[J].Journal of Fluid Mechanics,2001,449:373—393. doi: 10.1017/S0022112001006401
    [9]
    Saric W S, Hoos J A, Radeztsky R H. Boundary-layer receptivity of sound with roughness[A].In: Reda D C, Reed H L, Kobayashi R K,Eds.Boundary Layer Stability and Transition to Turbulence[C].Vol.114.New York: ASME FED, 1991,17—22.
    [10]
    Zhou M D, Liu D P, Blackwelder R F.An experimental study of receptivity of acoustic waves in laminar boundary layers[J].Experiments in Fluids,1994,17(1/2):1—9. doi: 10.1007/BF02412797
    [11]
    Bodonyi R J. Nonlinear triple-deck studies in boundary-layer receptivity[J].Applied Mechanics Reviews,1990,43(2):158—166. doi: 10.1115/1.3120796
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2603) PDF downloads(852) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return