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
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.