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Flow around a cylinder surrounded by a permeable cylinder in shallow water

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Abstract

The change in flow characteristics downstream of a circular cylinder (inner cylinder) surrounded by an outer permeable cylinder was investigated in shallow water using particle image velocimetry technique. The diameter of the inner cylinder and the water height were kept constant during the experiments as d = 50 mm and h w  = 25 mm, respectively. The depth-averaged free-stream velocity was also kept constant as U = 170 mm/s which corresponded to a Reynolds number of Red = 8,500 based on the inner cylinder diameter. In order to examine the effect of diameter and porosity of the outer cylinder on flow characteristics of the inner cylinder, five different outer cylinder diameters (D = 60, 70, 80, 90 and 100 mm) and four different porosities (β = 0.4, 0.5, 0.6 and 0.7) were used. It was shown that both porosity and outer cylinder diameter had a substantial effect on the flow characteristics downstream of the circular cylinder. Turbulent statistics clearly demonstrated that in comparison with the bare cylinder (natural case), turbulent kinetic energy and Reynolds stresses decreased remarkably when an outer cylinder was placed around the inner cylinder. Thereby, the interaction of shear layers of the inner cylinder has been successfully prevented by the presence of outer cylinder. It was suggested by referring to the results that the outer cylinder having 1.6 ≤ D/d ≤ 2.0 and 0.4 ≤ D/d ≤ 0.6 should be preferred to have a better flow control in the near wake since the peak magnitude of turbulent kinetic energy was considerably low in comparison with the natural case and it was nearly constant for these mentioned porosities β, and outer cylinder to inner cylinder diameter ratios D/d.

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Abbreviations

a :

Mesh size

d :

Diameter of the inner cylinder

D :

Diameter of the outer cylinder

F1, F2 :

Foci emerged on the streamline topology

S:

Saddle point

t :

Mesh diameter

TKE:

Turbulent kinetic energy

U :

Depth-averaged flow velocity

u :

Velocity in x direction

v :

Velocity in y direction

\( u^{\prime } \) :

Streamwise velocity fluctuation

\( v^{\prime } \) :

Transverse velocity fluctuation

\( u^{\prime } u^{\prime } \) :

Streamwise Reynolds normal stress

\( v^{\prime } v^{\prime } \) :

Transverse Reynolds normal stress

\( u^{\prime } v^{\prime } \) :

Reynolds shear stress

x :

Streamwise distance

y :

Transverse distance

β :

Porosity

Ψ :

Streamline

ω :

Vorticity

〈〉:

Time-averaged

h w :

Water depth

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Acknowledgments

The second author is supported with the national postdoctoral research scholarship programme of The Scientific and Technological Research Council of Turkey (TÜBİTAK).

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Correspondence to Huseyin Akilli.

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Ozkan, G.M., Oruc, V., Akilli, H. et al. Flow around a cylinder surrounded by a permeable cylinder in shallow water. Exp Fluids 53, 1751–1763 (2012). https://doi.org/10.1007/s00348-012-1393-2

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  • DOI: https://doi.org/10.1007/s00348-012-1393-2

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