scholarly journals Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect

2010 ◽  
Vol 22 (10) ◽  
pp. 104101 ◽  
Author(s):  
I. S. Fayzrakhmanova ◽  
S. Shklyaev ◽  
A. A. Nepomnyashchy
Keyword(s):  
Binary Mixture ◽  
Soret Effect ◽  
Low Frequency ◽  
Marangoni Instability ◽  
Long Wave ◽  
Low Frequency Vibration

Influence of low-frequency vibration on thermocapillary instability in a binary mixture with the Soret effect: long-wave versus short-wave perturbations

2013 ◽  
Vol 714 ◽  
pp. 190-212 ◽  
Author(s):  
Irina S. Fayzrakhmanova ◽  
Sergey Shklyaev ◽  
Alexander A. Nepomnyashchy
Keyword(s):  
Binary Mixture ◽  
Soret Effect ◽  
Low Frequency ◽  
Short Wave ◽  
Pure Liquid ◽  
Long Wave ◽  
Empirical Criterion ◽  
Low Frequency Vibration ◽  
Thermocapillary Instability ◽  
Limiting Case

AbstractWe study the influence of low-frequency vibration on Marangoni instability in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically for perturbations of a finite wavelength (short-wave perturbations). Competition between long-wave and short-wave modes is found: the former ones are critical at smaller absolute values of the Soret number $\chi $, whereas the latter ones lead to instability at higher $\vert \chi \vert $. In both cases the vibration destabilizes the layer. Two variants of calculations are performed: via Floquet theory (linear asymptotic stability) and taking noise into consideration (empirical criterion). It is found that fluctuations substantially reduce the domains of stability. Further, while studying a limiting case within the empirical criterion, we have found a short-wave instability mode overlooked in former investigations of coupled Rayleigh–Marangoni convection in a layer of pure liquid.

On the vibrational convective instability of a horizontal, binary-mixture layer with Soret effect

1997 ◽  
Vol 330 ◽  
pp. 251-269 ◽  
Author(s):  
G. Z. GERSHUNI ◽  
A. K. KOLESNIKOV ◽  
J.-C. LEGROS ◽  
B. I. MYZNIKOVA
Keyword(s):  
Binary Mixture ◽  
High Frequency ◽  
Soret Effect ◽  
Normal Modes ◽  
Quasi Equilibrium ◽  
Regular Perturbation ◽  
Wave Disturbances ◽  
Long Wave ◽  
Mean Fields ◽  
Parameter Values

A theoretical examination is made of the mechanical quasi-equilibrium stability of a horizontal, binary-mixture layer with Soret effect in the presence of a high-frequency vibrational field. The boundaries of the layer are assumed to be rigid, isothermal and impermeable. The axis of vibration is longitudinal. The study is based on the system of equations describing the behaviour of mean fields. The conditions of quasi-equilibrium are formulated. A linear stability analysis for normal modes is carried out. In the limit of long-wave disturbances the regular perturbation method is used with the wavenumber as a small parameter. For the case of an arbitrary wavenumber, the calculations are made using straight forward numerical integration. The boundaries of stability and the critical disturbance characteristics are determined for representative parameter values. Different instability mechanism and forms are discussed.

Nonlinear dynamics of long-wave Marangoni convection in a binary mixture with the Soret effect

2013 ◽  
Vol 25 (5) ◽  
pp. 052107 ◽  
Author(s):  
M. Morozov ◽  
A. Oron ◽  
A. A. Nepomnyashchy
Keyword(s):  
Nonlinear Dynamics ◽  
Binary Mixture ◽  
Marangoni Convection ◽  
Soret Effect ◽  
Long Wave

A Study on the Fine Structure of the Lateral Line Organ of the Sea Eel

1973 ◽  
Vol 31 ◽  
pp. 648-649
Author(s):  
K. Hama
Keyword(s):  
Fine Structure ◽  
Electron Microscope ◽  
Lateral Line ◽  
Low Frequency ◽  
Sensory Cells ◽  
Apical Surface ◽  
Voltage Electron ◽  
Sensory Epithelia ◽  
Low Frequency Vibration ◽  
Transmission Electron

The lateral line organs of the sea eel consist of canal and pit organs which are different in function. The former is a low frequency vibration detector whereas the latter functions as an ion receptor as well as a mechano receptor.The fine structure of the sensory epithelia of both organs were studied by means of ordinary transmission electron microscope, high voltage electron microscope and of surface scanning electron microscope.The sensory cells of the canal organ are polarized in front-caudal direction and those of the pit organ are polarized in dorso-ventral direction. The sensory epithelia of both organs have thinner surface coats compared to the surrounding ordinary epithelial cells, which have very thick fuzzy coatings on the apical surface.

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