ON THE VIBRATIONAL CONVECTIVE INSTABILITY OF A HORIZONTAL, BINARY-MIXTURE LAYER WITH SORET EFFECT

Citation
Gz. Gershuni et al., ON THE VIBRATIONAL CONVECTIVE INSTABILITY OF A HORIZONTAL, BINARY-MIXTURE LAYER WITH SORET EFFECT, Journal of Fluid Mechanics, 330, 1997, pp. 251-269
Citations number
26
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
Journal title
ISSN journal
00221120
Volume
330
Year of publication
1997
Pages
251 - 269
Database
ISI
SICI code
0022-1120(1997)330:<251:OTVCIO>2.0.ZU;2-M
Abstract
A theoretical examination is made of the mechanical quasi-equilibrium stability of a horizontal, binary-mixture layer with Soret effect in t he presence of a high-frequency vibrational field. The boundaries of t he layer are assumed to be rigid, isothermal and impermeable. The axis of vibration is longitudinal. The study is based on the system of equ ations describing the behaviour of mean fields. The conditions of quas i-equilibrium are formulated. A linear stability analysis for normal m odes is carried out, In the limit of long-wave disturbances the regula r perturbation method is used with the wavenumber as a small parameter , For the case of an arbitrary wavenumber, the calculations are made u sing straight forward numerical integration. The boundaries of stabili ty and the critical disturbance characteristics are determined for rep resentative parameter values, Different instability mechanisms and for ms are discussed.