DIRECTIONAL SOLIDIFICATION IN AN IMPERFECT FURNACE.

K. Brattkus*, Stephen H Davis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)9-14
Number of pages6
JournalPCH. Physicochemical hydrodynamics
Volume9
Issue number1-2
StatePublished - Jan 1 1987

ASJC Scopus subject areas

  • Engineering(all)

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