Flow-Induced Vibration
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Cites background from "Flow-Induced Vibration"
...The drag force per fluid mass due to vegetation may be described as FT 5 F forcemassG 5 12 CDaU2 (1) where r is the fluid density, U is the equivalent uniform velocity, and CD is a bulk drag coefficient representing the array....
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...Figure 6 presents the model results, CD(ad), for both random (solid line) and staggered arrays (dashed line)....
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...The wake production is estimated as the work input, FTU , where FT is described in (1), that is, per unit mass: Pw 5 1 2 CDaU 3 (3) This assumes that all of the energy extracted from the mean flow through stem (cylinder) drag appears as turbulent kinetic energy....
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...CBU2 1 1 2 CDadS hdDU2 5 gh h x , (9) where the first term on the left is the drag contributed by the base of the array, with a bed drag coefficient, CB 5 0.001 [e.g., Munson et al., 1990, p. 673], the second term on the left is the drag contributed by the stems, and h is the flow depth....
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...CBU2 1 @CDad#2/3U2 (10) (the terms to the left of the plus sign represent bed-shear production; those to the right represent wake production) which is correct in the limits of ad(3 0 or 1) but may be oversimplified when the two terms are comparable because it does not account for nonlinear interactions between the two processes, for example, changes in bed shear arising owing to the presence of stems....
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Cites background from "Flow-Induced Vibration"
...Active open-loop control When a time-periodic open-loop forcing is applied, vortex shedding in the wake is in general locked in phase to the forcing (Blevins, 1990), and consequently the forcing strengthens vortex shedding and increases the mean drag and the lift fluctuations....
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...When a time-periodic open-loop forcing is applied, vortex shedding in the wake is in general locked in phase to the forcing (Blevins, 1990), and consequently the forcing strengthens vortex shedding and increases the mean drag and the lift fluctuations....
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