Vortex development behind a finite porous obstruction in a channel
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Nepf_Vortex development.pdf
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Author(s) •
Zong, Lijun
Nepf, Heidi
Date Issued
December 2011
Journal
Journal of Fluid Mechanics
Publisher
Cambridge University Press
Citation
Zong, Lijun, and Heidi Nepf. “Vortex Development Behind a Finite Porous Obstruction in a Channel.” Journal of Fluid Mechanics 691 (2011): 368–391. © Cambridge University Press 2011
Version
Final published version
Abstract
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 (D) and seven solid volume fractions (Φ) are tested. Because flow can pass through the patch, directly downstream there is a region of steady, non-zero, streamwise velocity, U[subscript 1], called the steady wake. For the patch diameters and solid volume fractions considered here, U[subscript 1] is a function of Φ only. The length of the steady wake (L[subscript 1]) increases as Φ decreases and can be predicted from the growth of a plane shear layer. The formation of the von-Kármán vortex street is delayed until the end of the steady wake. There are two regions of elevated transverse velocity fluctuation (v[subscript rms]): directly behind the patch, associated with the wake turbulence of individual cylinders; and at the distance L[subscript 1] 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 L[subscript 2]. The dimensionless length of the entire wake, L[subscript 1] + L[subscript 2]/ D[subscript 1], increases with patch porosity.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1017/jfm.2011.479