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- W2023251541 abstract "Analytical solutions for the receptivity of a piecewise linear mixing layer to harmonic disturbances at the trailing edge of a flat plate are presented. The solution is for an ideal fluid, with viscous effects at the trailing edge being accounted for by imposing an unsteady Kutta condition. The wake from the flat plate is included in the model. Initial mixing layer response for the discrete and continuous modes of instability is determined as a function of forcing strength, Strouhal number, and cross stream location. Forcing frequencies throughout the unstable regime are considered. The various components of the perturbation field and their contributions to the perturbation velocity and vorticity are investigated in the near field of the trailing edge. In the limit that the forcing frequency approaches zero, the amplification of the streamwise velocity and vorticity associated with the growing instability mode is shown to be inversely proportional to the forcing frequency, in agreement with previous results obtained using the vortex sheet approximation. In contrast, the initial cross stream velocity of the disturbance is quite small for low frequencies, and reaches a peak at the most amplified frequency of the mixing layer profile. The analysis also shows that at higher frequencies the continuous modes of instability become increasingly important channels whereby vorticity is carried away from the trailing edge. The differences in wave number between the various competing components at these higher frequencies leads to the appearance of nodes in the time-averaged perturbation quantities downstream. The entire perturbation is examined at the most amplified frequency." @default.
- W2023251541 created "2016-06-24" @default.
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- W2023251541 date "2000-07-01" @default.
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- W2023251541 title "Receptivity to harmonic forcing of a finite-width mixing layer just downstream of the trailing edge of a flat plate" @default.
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- W2023251541 doi "https://doi.org/10.1063/1.870425" @default.
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