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TECHNICAL PAPERS

Vortex Breakdown in a Differentially Rotating Cylindrical Container

[+] Author and Article Information
Teruaki Koide

Department of Mechanical Engineering, Tokyo Metropolitan College of Technology, 1-10-40 Higashi-Ohi, Shinagawa-ku, Tokyo 140-0011, Japan

Hide S. Koyama

Department of Mechanical Engineering, Tokyo Denki University, 2-2 Kanda-Nishikicho, Chiyoda-ku, Tokyo 101-8457, Japan

J. Fluids Eng 127(2), 358-366 (May 10, 2005) (9 pages) doi:10.1115/1.1852482 History: Received August 21, 2003; Revised October 06, 2004; Online May 10, 2005
Copyright © 2005 by ASME
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References

Figures

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Numerical and experimental results on the vortex breakdown in a differentially rotating container for H/R=2.0 and ReΔ=2060 with varying Ek. (a)–(c) counter-rotation case; (d) stationary case; (e)–(h) corotation case. (a) |Ek|=0.0104; (b) 0.0113; (c) 0.0146; (d) Ek=∞; (e) 0.0217; (f) 0.0146; (g) 0.0880; and (h) 0.007
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Locations of upstream stagnation point of the breakdown bubble h/H for H/R=1.75 at various fixed Re (experimental uncertainty in h/H: less than ±0.5%; in Re: less than ±1%)
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Maximum outer diameters of the breakdown bubble B/2R for H/R=1.75 at various fixed Re (experimental uncertainty in B/2R: less than ±0.5%; in Re: less than ±1%)
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Locations of upstream stagnation point of the breakdown bubble h/H for H/R=2.0 and ReΔ=2060 (Experimental uncertainty in h/H: less than ±0.5% in ReΔ: less than ±1%)
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Critical boundaries for the vortex breakdown in a differentially rotating container for |Ek|=0.0113 (experimental uncertainty in H/R: less than ±0.5%; in ReΔ: less than ±1%)
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Streamlines of Ψ=0.0001 and distributions of angular momentum rv along the streamlines in a differentially rotating container for H/R=2.0 and ReΔ=2060. –: stationary case (Ek=∞); —: corotation case (Ek=0.011); ⋯: counter-rotation case (|Ek|=0.011)
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Contour plots of −uv/r (—; positive; ⋯; negative, left) and v2/r (right) overlapping the streamlines (–) for H/R=2.0 and ReΔ=2060
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Evaluations of terms in the radial direction Eq. (1), along the streamlines of (Ψ=0.00001) for H/R=2.0 and ReΔ=2060
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Evaluations of terms in the azimuthal direction Eq. (2), along the streamline of (Ψ=0.00001) for H/R=2.0 and ReΔ=2060
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Distributions of σ/σ0,η/η0 [estimated from Eq. (10) and the numerical solutions] and (1/Ro)(α00)(1−σ/σ0) in Eq. (10) along the streamlines (Ψ=0.00001) for H/R=2.0 and ReΔ=2060

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