Volume 65, Number 3, February 2004
|Page(s)||330 - 336|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 January 2004|
Parametric instability in a fluid with temperature-dependent surface tension
Department of Physics and Meteorology, Indian Institute of Technology Kharagpur 721 302, India
2 Physics and Applied Mathematics Unit, Indian Statistical Institute 203 Barrackpore Trunk Road, Kolkata 700 108, India
Corresponding author: email@example.com
Accepted: 12 November 2003
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.
PACS: 47.20.Gv – Viscous instability / 47.17.+e – Mechanical properties of fluids / 47.35.+i – Hydrodynamic waves
© EDP Sciences, 2004
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