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Stability of Laminar Boundary Layers and Wakeswakes at Hypersonic Speeds. Part I. Stability of Laminar Wakes

机译:高超声速下层流边界层的稳定性和唤醒。第一部分层流尾迹的稳定性

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The dynamical instability of compressible two-dimensional and axisymmetric laminar wakes is studied along lines similar to those developed by Batchelor and Gill for incompressible jets, and by Lees and Lin for compressible two-dimensional boundary layers. Neutral subsonic disturbances exist only when a generalized mean density-vorticity product has an extremum, and then only when the phase velocity corresponding to this location is subsonic relative to an observer fixed in the fluid. This condition is also sufficient (but not necessary) for the existence of amplified subsonic disturbances. The effect of a hot wake core is twofold: (1) as the wake core temperature excess increases, the range of relative Mach numbers over which unstable disturbances can exist also increases; (2) however, if the relative Mach number is less than the critical value, the amplification rates per wavelength of a hot wake are much lower than those of a cool wake. Stability calculations for typical cases are employed to give some insight into the phenomenon of transition to turbulence in hypersonic laminar wakes. The n = 1 (sinuous) helical mode apparently corresponds to some observations in wakes behind slender bodies of revolution at hypersonic speeds. (Author)

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