Abstract
This paper used the Floquet's three-dimensional linear stability theory in the analysis of two-dimensional compressible boundary layer, a set of stability equations is constructed, the effect of three dimensional linear small perturbation on the two-dimensional compressible boundary layer transition is studied, and the effect of coming flow Ma number on growth and development of the subharmonics is calculated. It can be seen from the calculations, the effect caused by the interaction of two-dimensional and three-dimensional perturbation waves on the development of two-dimensional compressible laminar boundary layer.
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References
Herbert T. Secondary instability of boundary layers [J].Annual Rev of Fluid Mech, 1988,20:487–652
Chen Maozhang.Fundamentals of Viscous Fluid Dynamics [M]. Higher Education Press, 1993 (in Chinese)
Mack L M. Review of linear compressible stability theory [A]. In:Stability for Time Dependent and Spatially Varying Flows, D L Dwoyer, M Y Hussaini eds. New York: Springer-Verlag, 1985, 164–187
Mack L M, Boundary Layer Stability Theory [R]. NASA CR-131501, 1969
Brown W B. Stability of compressible boundary layer [J].AIAA J, 19675(10):1753–1759
Crout P D. A Short method of evaluating determinants and solving systems of linear equations [J].Trans Am Inst Elec Engrs, 1941,60(1):1235
Scout M R, Watts H A. Computational solution of linear two-point boundary value problems via orthonormalization [J].SIAM Journal of Numerical Analysis, 1977,14(1):40–70
Nayfeh A H. Three-dimensional spatial secondary instability in boundary layer flows [R].AIAA 1985, 85–0169
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Communicated by Zhou Zhewe;
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Xuji, F., Zhuoshi, L. Analysis of the secondary stability of compressible boundary layer flows over a two-dimensional plate. Appl Math Mech 20, 513–518 (1999). https://doi.org/10.1007/BF02463747
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DOI: https://doi.org/10.1007/BF02463747