Analysis of Three-Dimensional Structures in Boundary Layers

  • Jeffrey D. Crouch
Conference paper
Part of the ICASE/ NASA LaRC Series book series (ICASE/NASA)


A perturbation scheme, based on the simultaneous expansion of primary and secondary modes, is used to study the prebreakdown flow field. Results of the analysis are in good agreement with experiments for amplitudes in excess of 5%. For peak-valley splitting the analysis captures the development of the high shear layer associated with breakdown. Subharmonic modes evolve differently, with the region of high shear concentrated near the wall.


Velocity Function Secondary Instability Amplitude Curve Secondary Mode Subharmonic Mode 
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  1. T. C. Corke and R. A. Mangano, 1987 “Transition of a boundary layer: controlled fundamental-subharmonic interactions”, Fluid Dynamics Center Rep. No. 87–1, Illinois Institute of Technology, Chicago, Illinois.Google Scholar
  2. K. C. Cornelius, 1985 “Three dimensional wave development during boundary layer transition”, Lockheed Georgia Res. Rep. LG85RR0004, Marietta, Georgia.Google Scholar
  3. J. D. Crouch, 1988 “The nonlinear evolution of secondary instabilities in boundary layers”, VPI & SU, Ph. D. thesis.Google Scholar
  4. J. D. Crouch and Th. Herbert, 1986 “Perturbation analysis of nonlinear secondary instabilities in boundary layers”, Bull Am. Phys. Soc. vol. 31, pp. 1718.Google Scholar
  5. Th. Herbert, 1988 “Secondary instability of boundary layers”, Ann. Rev. Fluid Mech. vol. 20, pp. 487–526.ADSCrossRefGoogle Scholar
  6. Yu S. Kachanov, V. V. Kozlov, and V. Y. Levchenko, 1977 “Non-linear development of a wave in a boundary layer”, Izv. AN USSR, Mekh. Zhidk. i Gaza vol. 3, pp. 49–53(In Russian).Google Scholar
  7. Yu. S. Kachanov and V. Ya. Levchenko, 1984 “The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer”, J. Fluid Mech. vol. 138, pp. 209–247.ADSCrossRefGoogle Scholar
  8. L. S. Kovasznay, H. Komoda, and B. R. Vasudeva, 1962 “Detailed flow field in transition”, in Proc. Heat Transfer Fluid Mech. Inst. 1962, pp. 1–26, Stanford Univ. Press.Google Scholar
  9. A. Wray and M. Y. Hussaini, 1984 “Numerical experiments in boundary-layer stability”, Proc. R. Soc. London Ser. A, vol. 392, pp. 373–389.ADSMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • Jeffrey D. Crouch
    • 1
  1. 1.Laboratory for Computational Physics and Fluid DynamicsNaval Research LaboratoryWashingtonUSA

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