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Hydromagnetic Stability Analysis of a Film Coating Flow Down a Rotating Vertical Cylinder

Published online by Cambridge University Press:  31 March 2011

P.-J. Cheng ,
K.-C. Liu  and
D. T. W. Lin
P.-J. Cheng*
Affiliation:
Department of Mechanical Engineering, Far-East University, Tainan City, Taiwan 74448, R.O.C.
K.-C. Liu
Affiliation:
Department of Mechanical Engineering, Far-East University, Tainan City, Taiwan 74448, R.O.C.
D. T. W. Lin
Affiliation:
Institute of Mechatronic System Engineering, National University of Tainan, Tainan City, Taiwan 70005, R.O.C.
*
* Professor, corresponding author
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Abstract

The influence of both the Rossby number and the Hartmann number on the hydromagnetic stability of a thin liquid film flowing down along the surface of a vertical cylinder is investigated. The long-wave perturbation method is employed to solve for generalized nonlinear kinematic equations with a free film interface. The normal mode approach is used to compute the stability solution for the film flow. The modeling results indicate that the stability of the liquid film is enhanced by increasing the strength of the magnetic field or reducing the speed at which the cylinder rotates. By contrast, the flow becomes relatively more unstable as the cylinder radius is increased at larger values of the Rossby number. Notably, this finding is the opposite of that observed for film flows along a stationary vertical cylinder.

Keywords

Hydromagnetic stability analysisHartmann numberRossby number
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 1 , March 2011 , pp. 27 - 36
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

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