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.
The stability of the mechanical equilibrium of a plane horizontal binary mixture layer with Soret effect in the presence of a static gravity field and high frequency vibration is studied theoretically. The horizontal boundaries of the layer are assumed to be rigid, isothermal and impermeable. A linear theory of stability is developed. The instability boundary and characteristics of the critical disturbances are determined.
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