Longwave Marangoni instability in a binary mixture under the action of vibration: Influence of the heat transfer on a free surface

• Published in: The European physical journal. ST, Special topics Vol. 192; no. 1; pp. 95 - 100
• Main Authors: Fayzrakhmanova, I.S., Shklyaev, S., Nepomnyashchy, A.A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01-02-2011
• Subjects: Atomic; Binary mixtures; Classical and Continuum Physics; Condensed Matter Physics; Crossovers; Heat loss; Heat transfer; Heating; Instability; Marangoni convection; Materials Science; Measurement Science and Instrumentation; Molecular; Optical and Plasma Physics; Physics; Physics and Astronomy; Regular Article; Stability; Vibration; Marangoni Convection; Biot Number; Stability Domain; European Physical Journal Special Topic; Marangoni Number
• ISSN: 1951-6355; 1951-6401
• DOI: 10.1140/epjst/e2011-01363-9

.
We study the influence of low-frequency vibration on a longwave Marangoni convection in a layer of a binary mixture with the Soret effect. Heat loss at a free surface is taken into consideration. Linear stability analysis is performed numerically by means of the Floquet theory. It is shown that with the increase in the Biot number
B
, the system is stabilized. For heating from below, a crossover is found in a narrow interval of the Soret number: the stability domain decreases stepwise for arbitrary small
B
.