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TECHNICAL PAPERS

Dispersion Relation and Stability Analysis of Flow-Induced Wave of a Flexible Circular Ring Subjected to Swirling Fluid Flow

[+] Author and Article Information
Masahiro Watanabe, Nobuyuki Kobayashi

Department of Mechanical Engineering, Aoyama Gakuin University, Tokyo 157-8572, Japan

J. Pressure Vessel Technol 123(4), 442-447 (Jun 22, 2001) (6 pages) doi:10.1115/1.1398286 History: Received April 20, 2000; Revised June 22, 2001
Copyright © 2001 by ASME
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References

Figures

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Analytical model of flexible circular ring subjected to swirling fluid flow
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Flexible circular ring vibrating around equilibrium position
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Swirling fluid flow between circular ring and rotating outer casing
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Wave mode shapes of flexible circular ring (four lowest wave modes)
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Dispersion relation of wave in stationary fluid (without rotation Ω⁁=0)—(a) phase speed Re[ω⁁]/k versus wave number k; (b) growth rate −Im[ω⁁] versus wave number k
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Variations of phase speed Re[ω⁁]/k and growth rate −Im[ω⁁] with rotational speed Ω⁁ (with swirling fluid flow)—(a) phase speed Re[ω⁁]/k versus Ω⁁; (b) growth rate −Im[ω⁁] versus Ω⁁
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Dispersion relation of wave (with swirling fluid flow)—(a) phase speed Re[ω⁁]/k versus wave number k; (b) growth rate −Im[ω⁁] vs wave number k

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