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Journal of Applied Mechanics and Technical Physics

2002 year, number 2

Convection of a binary mixture under conditions of thermal diffusion and variable temperature gradient

B. L. Smorodin
Perm' State University, Perm' 614600
Pages: 217-223

Abstract

Instability of a plane horizontal layer
of an incompressible binary gas mixture
stratified in the gravity field under
the action of a transverse temperature
gradient modulated in time is studied.
The case of solid impermeable boundaries
of the layer, where the flux of matter
vanishes, is considered. The analysis is
based on the Floquet method applied to
linearized equations of convection in
the Boussinesq approximation. It is
shown that there are regions of
parametric instability at finite
frequencies. In addition to the
synchronous or subharmonic response to
an external action, the instability may
be related to quasi-periodic
disturbances. Depending on the amplitude
and frequency, modulation can stabilize
the unstable basic state and also
destabilize the equilibrium of the
fluid. The threshold values of
convection for modulations of
temperature and translational vertical
vibrations are compared.