(Color online) Channel geometry sketching side wall effects on the flow. (a) Free surface shape in the cross section. (b) Velocity profile in flow direction showing velocity overshoot and defect compared to plane flow with the same surface velocity/film height.
(Color online) (a) Channel top view and measurement positions. (b) Experimental setup.
(Color online) Recorded positions of both laser spots during an experimental run. d = 20 mm, f e = 3.2 Hz, Re = 2.301, and θ = 8°.
(Color online) Time dependence of the x- and y-components of both laser spots during an experimental run. Signals have been shifted vertically to avoid overlapping. d = 20 mm, f e = 3.2 Hz, Re = 2.301, and θ = 8°.
(Color online) Absolute values of the Fourier transformed signals of both lasers at different Reynolds numbers and their amplitude differences. Each diagram (a)-(c) shows the spectrum of a single experimental run. Diagram (d) shows the dependence of on the Reynolds number.
(Color online) Neutral stability curves for two different contact angles θ between the side wall and the liquid. Lines between the measurement points are linear interpolations to guide the eye. The dashed line indicates the neutral stability curve for the plane flow of infinite extent.
(Color online) Side wall distance dependence of the neutral points for two different contact angles θ and excitation frequencies fe.
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