The shapes of a growing or decaying bubble entrapped by a solidification front are predicted in this work. The bubble results from supersaturation of a dissolved gas in the liquid ahead of the solidification front. Pore formation is one of the most serious issues affecting properties, microstructure, and strength in materials. In this study, the bubble entrapped as a pore in solid are realistically predicted by utilizing perturbation solutions of Young-Laplace equation governing the tiny bubble shape in the literature. The analytical solutions can account for necking of a bubble beyond the solidification front. Satisfying energy, momentum, mass conservation and physico-chemical equilibria on the bubble surface, the predicted time-dependent pore shapes are found to agree with in-situ measurements.

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