Growth of tertiary dendritic arms during the transient directional solidification of hypoeutectic Pb–Sb alloys

Abstract

Despite the importance of a complete characterization of dendritic patterns in castings, the availability of studies on the development of tertiary dendrite arms is scarce in the literature. In the present study, the tip cooling rate, local solidification time, primary and tertiary dendrite arm spacings have been determined in Pb-Sb alloys castings directionally solidified under unsteady-state heat flow conditions. The alloys compositions experimentally examined are widely used in the as-cast condition for the manufacture of positive and negative grids of lead-acid batteries. The initial growth of tertiary dendritic arms from the secondary branches was found to occur only for a Pb-3.5 wt% Sb alloy at cooling rates in the range 0.4-0.2 K/s, with no evidence of this spacing pattern for Pb-Sb alloys having lower solute content. Tertiary dendritic branches have been observed along the entire casting lengths for alloys of the Pb-Sb hypoeutectic range having compositions higher than 4.0 wt% Sb. It is shown that a power function experimental law with a characteristic À0.55 exponent is able to characterize the tertiary spacing evolution with the solidification cooling rate for alloys compositions !4.0 wt% Sb. The only exception was the Pb-3.5 wt% Sb alloy for which 3 exhibited significant lower values when compared with the experimental values obtained for the other Pb-Sb alloys for a same solidification cooling rate.

Solidificação Transitória das Ligas Al-11%Si e Eutética Al-11%Si-5%Ni

“…No caso do espaçamento dendrítico terciário (λ 3 ), a literatura ainda não apresenta modelos teóricos, apenas correlações experimentais que foram denotadas por Grugel [Grugel, 1993], no qual λ 3 é proporcional a t SL 1/3 , e nos já mencionados trabalhos de Sá et al e Freitas et al [Freitas et al, 2011]…”