HOMOCLINIC BIFURCATION IN BLASIUS BOUNDARY-LAYER FLOW

被引:12
作者
EHRENSTEIN, U [1 ]
KOCH, W [1 ]
机构
[1] DLR,INST STROMUNGSMECH,D-37073 GOTTINGEN,GERMANY
关键词
D O I
10.1063/1.868517
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In an attempt to elucidate the laminar/turbulent transition mechanism in a Blasius boundary-layer flow, a nonsemisimple resonance of phase-locked secondary instability modes is investigated. The local nonlinear behavior is described by means of a center manifold reduction. The numerically computed normal form is of the symmetric Takens-Bogdanov type and predicts a homoclinic orbit which is possibly related to a physical bursting process. A global continuation procedure for equilibrated three-dimensional (3-D) waves in the full Navier-Stokes system validates some of the local predictions and very closely outlines the experimentally observed skin friction domain including subcritical transition. © 1995 American Institute of Physics.
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页码:1282 / 1291
页数:10
相关论文
共 36 条
[1]  
Langford W.F., Tagg R., Kostelich E.J., Swinney H.L., Golubitsky M., Primary instabilities and bicriticality in flow between counterrotating cylinders, Phys. Fluids, 31, (1988)
[2]  
Coullet P.H., Spiegel E.A., Amplitude equations for systems with competing instabilities, SIAM J. Appl. Math, 43, (1983)
[3]  
Aubry N., Holmes P.J., Lumley J.L., Stone E., The dynamics of coherent structures in the wall region of a turbulent boundary layer, J. Fluid Mech, 192, (1988)
[4]  
Sanghi S., Aubry N., Mode interaction models for near wall urbulence, J. Fluid Mech, 247, (1993)
[5]  
Zhou X., Sirovich L., Coherence and chaos in a model of turbulent boundary layer, Phys. Fluids A, 4, (1992)
[6]  
Berkooz G., Holmes P., Lumley J.L., Aubry N., Stone E., Observations regarding ‘Coherence and chaos in a model of turbulent boundary layer’ by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)], Phys. Fluids, 6, (1994)
[7]  
Sirovich L., Zhou X., Reply to ’Observations regarding ’Coherence and chaos in a model of turbulent boundary layer’ by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)], Phys. Fluids, 6, (1994)
[8]  
Rist U., Fasel H., Numerical simulation of controlled transition in a flat plate boundary layer, J. Fluid Mech
[9]  
Rempfer D., Fasel H., Evolution of three-dimensional coherent structures in a flat-plate boundary layer, J. Fluid Mech, 260, (1994)
[10]  
Guckenheimer J., Holmes P., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, (1983)