Hostname: page-component-848d4c4894-x5gtn Total loading time: 0 Render date: 2024-05-21T06:14:35.152Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  10 January 1997

G. Z. GERSHUNI
Affiliation:
Department of Theoretical Physics, Perm State University, 614600 Perm, Russian Federation
A. K. KOLESNIKOV
Affiliation:
Department of Theoretical Physics, Perm Pedagogical University, 614600 Perm, Russian Federation
J.-C. LEGROS
Affiliation:
Microgravity Research Center, Universite Libre de Bruxelles, B – 1050 Brussels, Belgium
B. I. MYZNIKOVA
Affiliation:
Institute of Continuous Media Mechanics, Urals Branch of Russian Academy of Sciences, 614061 Perm, Russian Federation

Abstract

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.

Type
Research Article
Copyright
© 1997 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)