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Technical Briefs

Linear Stability of Weakly Forced Taylor-Vortex Flow

[+] Author and Article Information
Roger E. Khayat

Department of Mechanical and Materials Engineering, The University of Western Ontario, London, ON, N6A 5B9, Canadarkhayat@uwo.ca

J. Fluids Eng 130(5), 054501 (Apr 25, 2008) (3 pages) doi:10.1115/1.2907411 History: Received February 19, 2007; Revised December 03, 2007; Published April 25, 2008

Linear stability analysis of fully developed axisymmetric steady spatially modulated Taylor–Couette flow (TCF) is carried out in the narrow-gap limit. In contrast to unforced TCF, only the vortical base flow is possible in the forced case. It is found that the forcing tends to generally destabilize the base flow, especially around the critical point corresponding to unforced flow. Both the critical Taylor number and wave number are found to essentially linearly decrease with modulation amplitude.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Neutral stability curves in the (β-Ta) plane. Here, α=0.2 and ε=0,0.02,0.04,0.06.

Grahic Jump Location
Figure 2

Variation of the critical Taylor number with modulation amplitude ε, for α=0.8,1.0,1.2

Grahic Jump Location
Figure 3

Variation of the critical disturbance wave number with modulation amplitude ε, for α=0.8,1.0,1.2

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