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Research Papers: Flows in Complex Systems

Vortex Breakdown in an Enclosed Cylinder With a Partially Rotating Bottom-Wall

[+] Author and Article Information
P. Yu, T. S. Lee, Y. Zeng

Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore

H. T. Low

Department of Mechanical Engineering, and Division of Bioengineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singaporempelowht@nus.edu.sg

J. Fluids Eng 130(11), 111101 (Sep 19, 2008) (12 pages) doi:10.1115/1.2969427 History: Received June 06, 2007; Revised July 03, 2008; Published September 19, 2008

A numerical study of the axisymmetric flow in a cylindrical chamber of height H is presented, which is driven by a bottom disk rotating at angular velocity Ω. However, unlike most previous studies, the present rotating disk is of smaller radius than the bottom-wall. The boundary curves for the onset of vortex breakdown are presented using different definitions of the nondimensional parameters, depending on whether the cylinder radius R or the disk radius rd is used as the length scale. The study shows that the boundary curves are best correlated when presented in terms of the Reynolds number Ωrd2υ, aspect ratio HR, and cylinder-to-disk ratio Rrd. The cylinder-to-disk ratio Rrd up to 1.6 is found to have noticeable effect on vortex breakdown; this is attributed to the change of effective aspect ratio. The contours of streamline, angular momentum, and azimuthal vorticity are presented and compared with those of whole bottom-wall rotation.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figure 1

Cylindrical chamber with a partially rotating bottom-wall

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Figure 2

Boundary curves for the onset of vortex breakdown for whole bottom-wall rotating

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Figure 3

Boundary curves for the onset of vortex breakdown for a partially rotating bottom-wall; different parameters effect: (a) (Ωrd2∕ν,H∕rd); (b) (Ωrd2∕ν,H∕R)

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Figure 6

Critical aspect ratio for onset of vortex breakdown at various cylinder-to-disk ratio

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