Parametric instability in a fluid with temperature-dependentsurface tension

Stability of the free surface of a viscous fluid with temperature-dependent surface tension, vibrated sinusoidally in the vertical direction, is presented. The onset of surface waves in a thick layer of fluid is delayed by the inhomogeneity in the surface tension. The latter pushes the marginal stab...

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Bibliographic Details
Published in:Europhysics letters 2004-02, Vol.65 (3), p.330-336
Main Authors: Kumar, K., Bandyopadhyay, A., Mondal, G. C.
Format: Article
Language:English
Subjects:
47.17.+e
47.20.Gv
47.35.+i
Online Access:Get full text
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Summary:Stability of the free surface of a viscous fluid with temperature-dependent surface tension, vibrated sinusoidally in the vertical direction, is presented. The onset of surface waves in a thick layer of fluid is delayed by the inhomogeneity in the surface tension. The latter pushes the marginal stability curves corresponding to harmonic waves upward in the forcing amplitude–wave-number plane more than those corresponding to subharmonic waves in thin layers of low Prandtl number fluids. This leads to an interesting possibility of a multicritical point at the instability onset that may involve only subharmonic waves of different wave numbers.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2003-10085-3