Nonlinear optimal streaks induced by free-stream disturbances in flow over a thin flat plate

Abstract eng:
The nonlinear optimal inflow disturbance to the flow over a flat plate with a slender leading edge is calculated. At a prescribed frequency ω and a given magnitude, the optimal inflow disturbance is the one which induces the maximum disturbance energy within the computational domain. The Reynolds number based on free-stream velocity and half thickness of the plate is Re = 800. The optimal is a combination of streamwise vorticity and streamwise velocity, where the second part can be attributed to the leading edge effect. The flow response to the optimal inflow disturbance has the form of high- and low-speed streaks, whose amplitude increases as the frequency of the inlet disturbance is reduced. The steady inflow rolls and streaks response are therefore the global nonlinear optimal for a monochromatic inflow forcing.

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