Vibrational convective instability of a binary electrolyte layer between plane horizontal electrodesстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 6 декабря 2018 г.
Аннотация:The stability of a mechanical quasi-equilibrium state of a binary electrolyte layer
between planar horizontal electrodes subjected to high-frequency vibration is studied
theoretically. It is assumed that reversible anodic metal dissolution and cathodic
reactions proceed at the layer boundaries (metal electrode surfaces). A linear analysis
of the convective stability is based on a system of equations for averaged fields
of hydrodynamic velocity, concentration, and electric potential. An analytical solution
to the stability problem with respect to the long-wave perturbations is obtained
for positive and negative Rayleigh numbers. It is shown that the Rayleigh number
corresponding to the boundary of long-wave instability depends on the direction of
vibration, transport properties of the solution, and vibration frequency and amplitude.
Approximate analytical solutions of the problem for monotonic instability under horizontal
and vertical vibrations are obtained. The stability boundaries of mechanical
quasi-equilibrium state of a binary electrolyte layer are determined by solving numerically
at various values of transport properties of solution, vibration direction,
and electrolysis conditions. It is found that, in contrast to thermal vibrational convection,
in the case of concentration vibrational convection, absolute stability cannot
be reached. A range of parameters, where the long-wave perturbations are critical,
is determined. The monotonic and oscillatory types of instability are analyzed and
the results of approximate analytical and numerical solutions are compared and show
good agreement.