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Global stability of swept flow around a parabolic body: Connecting attachment-line and crossflow modes. (English) Zbl 1151.76469
Summary: 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 \(\beta = 0.213\), suggesting a preferred disturbance length scale in the sweep direction.

76E09 Stability and instability of nonparallel flows in hydrodynamic stability
76N15 Gas dynamics (general theory)
76M20 Finite difference methods applied to problems in fluid mechanics
Full Text: DOI
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