Vortex development behind a finite porous obstruction in a channel

2012 
This experimental study describes the turbulent wake behind a two-dimensional porous obstruction, consisting of a circular array of cylinders. The cylinders extend from the channel bed through the water surface, mimicking a patch of emergent vegetation. Three patch diameters ( ) and seven solid volume fractions ( ) are tested. Because flow can pass through the patch, directly downstream there is a region of steady, non-zero, streamwise velocity, , called the steady wake. For the patch diameters and solid volume fractions considered here, is a function of only. The length of the steady wake ( ) increases as decreases and can be predicted from the growth of a plane shear layer. The formation of the von-Karman vortex street is delayed until the end of the steady wake. There are two regions of elevated transverse velocity fluctuation ( ): directly behind the patch, associated with the wake turbulence of individual cylinders; and at the distance from the patch, associated with the formation of large-scale wake oscillation. Velocity along the centreline of the wake starts to increase only after the patch-scale vortex street is formed, and it approaches the free-stream velocity over a distance . The dimensionless length of the entire wake, , increases with patch porosity.
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