Global stability of swept flow around a parabolic body: Connecting attachment-line and crossflow modes

Abstract : The global linear stability of a three-dimensional compressible flow around a yawed parabolic body of infinite span is investigated using an iterative eigenvalue method in conjunction with direct numerical simulations. The computed global spectrum shows an unstable branch consisting of three-dimensional boundary layer modes whose amplitude distributions exhibit typical characteristics of both attachment-line and crossflow modes. In particular, global eigenfunctions with smaller phase velocities display a more pronounced structure near the stagnation line, reminiscent of attachment-line modes while still featuring strong crossflow vortices further downstream. This analysis establishes a link between the two prevailing instability mechanisms on a swept parabolic body which, so far, have only been studied separately and locally. A parameter study shows maximum modal growth for a spanwise wavenumber of ß = 0.213, suggesting a preferred disturbance length scale in the sweep direction. © 2008 Cambridge University Press.
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C.J. Mack, Peter Schmid, J.L. Sesterhenn. Global stability of swept flow around a parabolic body: Connecting attachment-line and crossflow modes. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2008, 611 (september), pp.205-214. ⟨10.1017/s0022112008002851⟩. ⟨hal-01022801⟩

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