A Flow Visualization Study of Vortex Interaction With the Wake of a Sphere

[+] Author and Article Information
M. Sun, J. S. Marshall

Iowa Institute of Hydraulic Research and Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242

J. Fluids Eng 122(3), 560-568 (May 18, 2000) (9 pages) doi:10.1115/1.1287505 History: Received January 07, 2000; Revised May 18, 2000
Copyright © 2000 by ASME
Topics: Wakes , Vortices
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Schematic diagram showing the loop-like form of the secondary vortex structures and the parameters σSS, κ, and R used to characterize the secondary vortex entrainment into the primary vortex: (a) side view, (b) top view
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Experimental data for variation of radial position R(t) of the nose of a wake loop from the primary vortex center and the best-fit lines for cases with S/D=2 and three different values of D/σ0: 4.2 (circles), 5.6 (triangles), 8.5 (squares)
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Plot of experimental data for the dimensionless entrainment rate as a function of D/σ0. Cases with S/D=2 are denoted by a circle, and cases with S/D=3 are denoted by a triangle.
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LIF photograph showing a cross-section of the wake vortices in the vertical plane A for a case with D/σ0=4.3 and S/D=3. Figure 9(a) shows an overview with three cross-sections of a wake loop and Fig. 9(b) shows a close-up of the region marked by a rectangle in (a) showing the primary vortex response to a single cross-section of the loop.
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LIF photograph showing interaction of the primary vortex with a single strong vortex loop in the vertical plane A for a case with D/σ0=4.3 and S/D=2
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PIV data for the region marked by a rectangle in Fig. 10, showing (a) velocity vectors and (b) streamlines in the x-z plane
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LIF photographs showing an upward traveling vortex breakdown, for a case with D/σ0=4.3 and S/D=1. The flow is illuminated in a vertical plane, where the bottom of the plane is 27 cm above the sphere center. In (a), the leading part of the breakdown is observed to have the form of a kink in the vortex, which is followed in (b) by organized turbulent structures wrapped around the inner part of the vortex core.
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LIF photograph showing the vortex after attachment onto the sphere surface. The flow is illuminated in the vertical plane A, for a case with D/σ0=4.3 and S/D=0.5. A dashed line indicates the axis of the undisturbed vortex.
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Regime plot summarizing the occurrence of breakdown of the primary vortex (circles) due to interaction with the sphere wake and intermittent vortex attachment to the sphere (triangles). Best-fit solid and dashed curves are drawn to indicate three different flow regimes: (1) no vortex breakdown or attachment to sphere, (2) vortex breakdown but no attachment to sphere, (3) both vortex breakdown and attachment to sphere. Experimental uncertainty is indicated by error bars attached to the data points.
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LIF photograph in the horizontal plane B showing the sphere wake entrainment into the primary vortex core for a case with D/σ0=4.3 and S/D=2
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Schematic of the experimental apparatus, showing the circular inner tank and rectangular outer tank, the water inlet and exit, the primary vortex, the sphere and the sphere support
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Sketch illustrating the coordinate system, the parameters σ0C,S, and D used to characterize vortex-sphere interaction, and the position of the (A) vertical and (B) horizontal laser sheet illumination planes
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Experimental data for azimuthal velocity v (circles) and axial velocity w (triangles) for the primary vortex as a function of radial distance r from the center of the inner cylindrical tank. Best-fit curves are drawn for the azimuthal velocity (solid line) and axial velocity (dashed line).
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Schematic representation of the interconnected vortex loop structures in the wake of a sphere immersed in a uniform flow (reproduced from Achenbach 22)




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