# Long-Wave Coupled Marangoni - Rayleigh Instability in a Binary Liquid Layer in the Presence of the Soret Effect

A. Podolny; A. A. Nepomnyashchy; A. Oron

Mathematical Modelling of Natural Phenomena (2008)

- Volume: 3, Issue: 1, page 1-26
- ISSN: 0973-5348

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topPodolny, A., Nepomnyashchy, A. A., and Oron, A.. "Long-Wave Coupled Marangoni - Rayleigh Instability in a Binary Liquid Layer in the Presence of the Soret Effect." Mathematical Modelling of Natural Phenomena 3.1 (2008): 1-26. <http://eudml.org/doc/222181>.

@article{Podolny2008,

abstract = {
We have explored the combined long-wave Marangoni and Rayleigh instability of
the quiescent state of a binary- liquid layer heated from below or from above in the presence
of the Soret effect. We found that in the case of small Biot numbers there are two long-
wave regions of interest k ~ Bi1/2 and k ~ Bi1/4. The dependence of both monotonic and
oscillatory thresholds of instability in these regions on both the Soret and dynamic Bond
numbers has been investigated. The complete linear stability analysis reveals the diversity
of instability types in the long-wave region, and a need in the development of the nonlinear
theory of the discovered phenomena becomes obvious.},

author = {Podolny, A., Nepomnyashchy, A. A., Oron, A.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {binary liquid; Marangoni instability; buoyancy; Soret effect; flow instability; convection; surface tension; thermal diffusion; deformation; fluid oscillations; capillary waves},

language = {eng},

month = {7},

number = {1},

pages = {1-26},

publisher = {EDP Sciences},

title = {Long-Wave Coupled Marangoni - Rayleigh Instability in a Binary Liquid Layer in the Presence of the Soret Effect},

url = {http://eudml.org/doc/222181},

volume = {3},

year = {2008},

}

TY - JOUR

AU - Podolny, A.

AU - Nepomnyashchy, A. A.

AU - Oron, A.

TI - Long-Wave Coupled Marangoni - Rayleigh Instability in a Binary Liquid Layer in the Presence of the Soret Effect

JO - Mathematical Modelling of Natural Phenomena

DA - 2008/7//

PB - EDP Sciences

VL - 3

IS - 1

SP - 1

EP - 26

AB -
We have explored the combined long-wave Marangoni and Rayleigh instability of
the quiescent state of a binary- liquid layer heated from below or from above in the presence
of the Soret effect. We found that in the case of small Biot numbers there are two long-
wave regions of interest k ~ Bi1/2 and k ~ Bi1/4. The dependence of both monotonic and
oscillatory thresholds of instability in these regions on both the Soret and dynamic Bond
numbers has been investigated. The complete linear stability analysis reveals the diversity
of instability types in the long-wave region, and a need in the development of the nonlinear
theory of the discovered phenomena becomes obvious.

LA - eng

KW - binary liquid; Marangoni instability; buoyancy; Soret effect; flow instability; convection; surface tension; thermal diffusion; deformation; fluid oscillations; capillary waves

UR - http://eudml.org/doc/222181

ER -

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