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Publication Citation: Onset of Convection in Binary Liquid Layers

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Author(s): Geoffrey B. McFadden; Sam R. Coriell; Aaron Lott;
Title: Onset of Convection in Binary Liquid Layers
Published: March 24, 2010
Abstract: We perform linear stability calculations for horizontal bilayers of a two-component fluid that can undergo a phase transformation, taking into account both buoyancy effects and thermocapillary effects in the presence of a vertical temperature gradient. Critical values for the applied temperature difference across the system that is necessary to produce instability are obtained by a linear stability analysis, using both numerical computations and small-wavenumber approximations. Thermophysical properties are taken from the aluminum-indium monotectic system, which includes a liquid-liquid miscibility gap. In addition to buoyant and thermocapillary modes of instability, we find an oscillatory phase-change instability due to the combined effects of solute diffusion and fluid flow that persists at small wavenumbers. This mode is sensitive to the ratio of the layer widths, and for certain layer widths can occur for heating from either above or below.
Citation: Journal of Fluid Mechanics
Volume: 647
Pages: pp. 105 - 124
Keywords: aluminum-indium; binary liquid; buoyancy; hydrodynamic stability; liquid bilayers; thermocapillarity
Research Areas: Math, Modeling
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