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Technical Briefs

Finite-Amplitude Long-Wave Instability of a Thin Power-Law Liquid Film Flowing Down a Vertical Column in a Magnetic Field

[+] Author and Article Information
Po-Jen Cheng1

Department of Mechanical Engineering, Far-East University, Tainan 74448, Taiwanpjcheng@cc.feu.edu.tw

1

Corresponding author.

J. Fluids Eng 130(7), 074503 (Jun 26, 2008) (4 pages) doi:10.1115/1.2948375 History: Received November 12, 2007; Revised April 24, 2008; Published June 26, 2008

The long-wave perturbation method is employed to investigate the nonlinear hydromagnetic stability of a thin electrically conductive power-law liquid film flowing down a vertical cylinder. In contrast to most previous studies presented in literature, the solution scheme employed in this study is based on a numerical approximation approach rather than an analytical method. The modeling results reveal that the stability of the film flow system is weakened as the radius of the cylinder is reduced. However, the flow stability can be enhanced by increasing the intensity of the magnetic field and the flow index.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 4

Nonlinear wave speed in the supercritical stable region for three different values of m at Re1=5, R=20, and n=0.95

Grahic Jump Location
Figure 3

Threshold amplitude in the supercritical stable region for three different values of n at Re1=5, R=20, and m=0.1

Grahic Jump Location
Figure 2

Threshold amplitude in the subcritical unstable region for three different values of m at Re1=5, R=20, and n=0.95

Grahic Jump Location
Figure 1

Neutral stability curves of film flows for R=20, m=0.1, and n=0.95

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