Hostname: page-component-6bf8c574d5-956mj Total loading time: 0 Render date: 2025-02-23T14:15:13.385Z Has data issue: false hasContentIssue false

A note on the similarity between the normal-field instability in ferrofluids and the thermocapillary instability

Published online by Cambridge University Press:  04 July 2007

SANG W. JOO*
Affiliation:
School of Mechanical Engineering, Yeungnam University, Gyongsan 712-749, Korea
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A striking resemblance between the normal-field instability in ferromagnetic fluids and the interfacial mode of the thermocapillary instability in viscous fluids is presented. A nonlinear evolution equation describing the dynamics of the free surface for a ferrofluid layer subject to a uniform normal magnetic field is derived, and compared to that for a thin viscous layer heated from below. Their similarity predicts the possibility of mutual nonlinear stability control.

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

References

REFERENCES

Benney, D. J. 1966 Long waves on liquid films. J. Math. Phys. 45, 150155.Google Scholar
Cowley, M. D. & Rosensweig, R. E. 1967 The interfacial stability of a ferromagnetic fluid. J. Fluid Mech. 30, 671688.Google Scholar
Goussis, D. A. & Kelly, R. E. 1990 On the thermocapillary instabilities in a liquid layer heated from below. Intl J. Heat Mass Transfer 33, 22372245.CrossRefGoogle Scholar
Joo, S. W., Davis, S. H. & Bankoff, S. G. 1993 Two- and three-dimensional instabilities and rupture of thin liquid films falling on heated inclined plate. Nuclear Engng Design 141, 225236.Google Scholar
Krishnamoorthy, S., Ramswamy, B. & Joo, S. W. 1995 Nonlinear wave formation and rupture in heated falling films: A full-scale direct numerical simulation. Phys. Fluids 7, 22912294.Google Scholar
Matthies, G. & Tobiska, L. 2005 Numerical simulation of normal-field instability in the static and dynamic case. J. Magn. Magn. Mater. 289, 346349.Google Scholar
Rosensweig, R. E., Zahn, M. & Schumovich, M. 1983 Labyrinthine instability in magnetic and dielectric fluids. J. Magn. Magn. Mater. 39, 127132.Google Scholar