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Stability Analysis on Viscous Magnetic Fluid Film Flowing Down Along a Vertical Cylinder

Published online by Cambridge University Press:  05 May 2011

P.-J. Cheng  and
K.-C. Liu
P.-J. Cheng*
Affiliation:
Department of Mechanical Engineering, Far-East University, Tainan, Taiwan 74448, R.O.C.
K.-C. Liu*
Affiliation:
Department of Mechanical Engineering, Far-East University, Tainan, Taiwan 74448, R.O.C.
*
*Corresponding author
**Associate Professor
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Abstract

The paper investigates the hydromagnetic stability theory of a thin electrically conductive fluid film flowing down along the outside surface of a vertical cylinder. The long-wave perturbation method is employed to solve for generalized kinematic equations with free film interface. The normal mode approach is used to compute the stability solution for the film flow. The modeling results display that the degree of instability in the film flow is further intensified by the lateral curvature of cylinder. This is somewhat different from that of the planar flow. It is also observed that by increasing the effect of the magnetic field and increasing the radius of the cylinder the film flow can become relatively more stable as traveling down along the vertical cylinder.

Keywords

Thin filmHydromagnetic stability analysisLong-wave perturbation
Type
Articles
Information
Journal of Mechanics , Volume 23 , Issue 2 , June 2007 , pp. 127 - 134
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2007

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