Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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.
K. C. Cornelius, 1985 “Three dimensional wave development during boundary layer transition”, Lockheed Georgia Res. Rep. LG85RR0004, Marietta, Georgia.
J. D. Crouch, 1988 “The nonlinear evolution of secondary instabilities in boundary layers”, VPI & SU, Ph. D. thesis.
J. D. Crouch and Th. Herbert, 1986 “Perturbation analysis of nonlinear secondary instabilities in boundary layers”, Bull Am. Phys. Soc. vol. 31, pp. 1718.
Th. Herbert, 1988 “Secondary instability of boundary layers”, Ann. Rev. Fluid Mech. vol. 20, pp. 487–526.
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).
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.
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.
A. Wray and M. Y. Hussaini, 1984 “Numerical experiments in boundary-layer stability”, Proc. R. Soc. London Ser. A, vol. 392, pp. 373–389.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag New York Inc.
About this paper
Cite this paper
Crouch, J.D. (1990). Analysis of Three-Dimensional Structures in Boundary Layers. In: Hussaini, M.Y., Voigt, R.G. (eds) Instability and Transition. ICASE/ NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3432-6_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3432-6_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97324-1
Online ISBN: 978-1-4612-3432-6
eBook Packages: Springer Book Archive