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

Podolny, 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 -