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Marangoni convection caused by a photochemical reaction of the type A B in a deep liquid layer is studied. Linear stability analysis is performed and the conditions
for Marangoni convection to occur are obtained. It is shown that increasing the rate of the
direct reaction, for example, by increasing the light intensity, destabilizes the steady state
and causes convective motion of the fluid, whereas increasing the rate of the inverse reaction
stabilizes the steady state. A weakly nonlinear analysis...
The self-organization of porous nanostructures in anodic metal oxide
is considered. A mathematical model which incorporates the chemical
reactions at the metal-oxide and oxide-electrolyte interfaces and
elastic stress caused by the electrostrictive effects is
developed. It is shown through linear stability analysis, that a
short-wave instability exists in certain parameter regimes which can
lead to the formation of hexagonally ordered pores observed in
anodized aluminum oxide.
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