Stability of a spherical particle growing from a stirred melt - Vogel, A.; Cantor, B. (Elsevier)
A model is developed to investigate the effects of stirring on the solidification of a spherical particle from the melt, under the influence of thermal or solute flow. The effect of stirring is introduced by the use of stagnant thermal and diffusional boundary layers, and the particle growth rate and interface stability are determined by solving Laplace equations for the thermal and solute profiles. Numerical analyses are performed for the solidification of pure aluminium, pure salol, and an aluminium-copper alloy. For a given bulk liquid undercooling or undersaturation, stirring is found to produce an increased average rate of particle growth, and a decreased stability of the solid-liquid interface. The destabilisation is more significant at lower undercoolings and undersaturations, and applies to both low and high mobility interfaces. These effects may be partially suppressed, because stirring can decrease the bulk liquid undercooling and undersaturation.
http://linkinghub.elsevier.com/retrieve/pii/0022-0248(77)90125-7
Keywords: V; TE-TZ; U