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Abstract
This paper deals with some numerical aspects of the solution of continuum mixture model equations for analyzing solid-liquid phase change problems involving binary materials. It is found that the procedure used for iteratively updating the solid fraction with temperature has an important bearing on the convergence behavior of the overall method; here, based on our previous work, we present one such stable and rapidly converging solid fraction-temperature updating scheme. The implementation of the procedure is illustrated via a two-dimensional example problem dealing with freezing in a square cavity with buoyancy driven flow in the melt.
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