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TECHNICAL PAPERS

Nonlinear Stability Analysis of the Thin Micropolar Liquid Film Flowing Down on a Vertical Cylinder

[+] Author and Article Information
Po-Jen Cheng

Department of Mechanical Engineering, Far-East College, Tainan, Taiwan, R.O.C.

Cha’o-Kuang Chen, Hsin-Yi Lai

Department of Mechanical Engineering, National Cheng-Kung University, Tainan, Taiwan, R.O.C.

J. Fluids Eng 123(2), 411-421 (Dec 27, 2000) (11 pages) doi:10.1115/1.1359524 History: Received April 24, 2000; Revised December 27, 2000
Copyright © 2001 by ASME
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References

Figures

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Schematic diagram of a micropolar thin film flow traveling down along a vertical cylinder
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(a) Neutral stability curves for three different K values at R=20, (b) neutral stability curves for four different R values at K=0.5
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(a) Amplitude growth rate of disturbed waves in micropolar flows for three different K values at Re=10 and R=20, (b) amplitude growth rate of disturbed waves in micropolar flows for three different K values at α=0.06 and R=20, (c) amplitude growth rate of disturbed waves in micropolar flows for four different R values at Re=10 and K=0.5, (d) amplitude growth rate of disturbed waves in micropolar flows for four different R values at α=0.06 and K=0.5
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(a) Neutral stability curve of micropolar film flows for K=0 and R=20, (b) neutral stability curve of micropolar film flows for K=0.5 and R=20, (c) neutral stability curve of micropolar film flows for K=1.0 and R=20, (d) neutral stability curve of micropolar film flows for K=0.5 and R=10, (e) neutral stability curve of micropolar film flows for K=0.5 and R=50, (f ) neutral stability curve of micropolar film flows for K=0.5 and R=∞
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(a) Threshold amplitude in subcritical unstable region for three different K values at Re=10 and R=20, (b) threshold amplitude in subscritical unstable region for three different R values at Re=10 and K=0.5
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(a) Threshold amplitude in supercritical stable region for three different K values at Re=10 and R=20, (b) threshold amplitude in supercritical stable region for three different R values at Re=10 and K=0.5
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(a) Nonlinear wave speed in supercritical stable region for three different K values at Re=10 and R=20, (b) nonlinear wave speed in supercritical stable region for three different R values at Re=10 and K=0.5

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