Consider the upward directional solidification of a binary alloy in which the rejected solute is more dense than the solvent; the system is stably stratified both thermally and solutally. If heat is lost through the sidewalls, horizontal thermal gradients drive a steady double-diffusive convection. Soldification cells with small aspect ratios (width/length) A are considered and asymptotic solutions to the steady, double-diffusive system are obtained as A yields O under the assumption that heat losses are also small. When the thermal Grashof number is large, buoyancy boundary layers are at the sidewalls. The shape of the crystal-melt interface is determined by the coupled effects of local thermodynamic equilibrium, diffusion and convection.
|Original language||English (US)|
|Number of pages||6|
|Journal||PCH. Physicochemical hydrodynamics|
|State||Published - Jan 1 1987|
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