Abstract
This study is concerned with the computation and linear stability of a class of laminar compressible wake flows. The emphasis is on correct basic flow profiles that satisfy the steady equations of motion, and to this end the unperturbed state is obtained through numerical integration of the compressible boundary-layer equations. The linear stability of the flow is examined via the Rayleigh equation that describes evolution of inviscid disturbances. Analytical results are given for short-and long-wavelength disturbances and some numerical results of the general eigenvalue problem are also reported.
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
Cebeci, T., Thiele, F., Williams, P.G. & Stewartson, K. 1979, On the calculation of symmetric wakes. I. Two-dimensional flows. Numerical Heat Transfer, Vol. 2, 35–60.
Blumen, W., Drazin, P.G. & Billings, D.F. 1975 Shear layer instability of an inviscid compressible fluid. Part2. J. Fluid Mech, vol. 71, part 2, 305–316.
Gill, A.E. & Drazin, P.G. 1965 Note on the instability of compressible jets and wakes to long-wave disturbances. J. Fluid Meek, vol. 22, part 2, p. 415.
Goldstein, S. 1930 Concerning some solutions of the boundary layer equations in hydrodynamics. Proc. Camb. Phil. Soc., Vol.26, 1–30.
Gropengiesser, H. 1969 On the stability of free shear layers in compressible flows. NASA TIF-12, 786.
Huerre, P. & Monkewitz, P.A. 1985 Absolute and convective instabilities in free shear layers. J. Fluid Mech., Vol. 150, 151–168.
Hultgren, L.S. & Aggarwal, A.K. 1987 Absolute instability of a Gaussian wake. Phys. Fluids, Vol. 30(ll), 3383–3387.
Jackson, T.L. & Grosch, C.E. 1989a Inviscid spatial stability of a compressible mixing layer. J. Fluid Mech, in press.
Jackson, T.L. & Grosch, C.E. 1989b Inviscid spatial stability of a compressible mixing layer Part III. Effect of thermodynamics. ICASE Report, No.89–32. Also submitted to J. Fluid Mech.
Kumar, A., Bushnell, D.M. & Hussaini, M.Y. 1987 A mixing augmentation technique for hypervelocity scramjets. AIAA Paper, No.87–1882.
Macaraeg, M., Streett, C. & Hussaini, M.Y. 1988 A spectral collocation solution to the compressible stability eigenvalue problem. NASA TP2858 Dec.
Mattingly, G.E. & Criminale, W.O. 1972 The stability of an incompressible wake. J. Fluid Mech., Vol. 51, 233–272.
Miles, J.W. 1958 On the disturbed motion of a plane vortex sheet. J. Fluid Mech., Vol. 4, 538–552.
Papageorgiou, D.T. 1989 Instability of supersonic plane wakes. ICASE Report, to appear.
Papageorgiou, D.T. & Smith, F.T. 1989 Linear instability of the wake behind a flat plate placed parallel to a uniform stream. J. Fluid Mech., in press.
Ragab, S.A. & Wu, J.L. 1988 Instabilities in the free shear layer formed by two supersonic streams. AIAA Paper, 88–0038.
Smith, F.T. 1974 Boundary layer flow near a discontinuity in wall conditions. J.Inst.Maths Applies, Vol. 13,127–145.
Stewartson, K. 1964 The theory of laminar boundary layers in compressible fluids. Oxford University Press.
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
Papageorgiou, D.T. (1990). Accurate Calculation and Instability of Supersonic Wake Flows. 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_16
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3432-6_16
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