Abstract
In-situ observations have yet shown that the liquid-solid interface during eutectic growth can be markedly corrugated. The influence of the interface shape on the chemical diffusion process in the liquid is evaluated in this paper. The periodicity of the boundary conditions allows a Fourier analysis of the problem of the mass transfer in the liquid. It leads to a matricial equation that could be solved analytically. Computer calculations were carried out for the Pb-Sn eutectic system assuming circular shapes of the cross section of the interface between the liquid and each lamella. Even when the volume fraction satisfies the lever rule, the mean liquid composition along the interface can be strongly different from the eutectic composition for a corrugated interface. The discrepancy depends mainly on the bulk composition of the liquid and on the leading distance of one phase on the other. Moreover, the more convex the interface is, the lower are the lateral composition gradients.
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