P. S. Wei, C. C. Hsiao, S. Y. Hsiao, National Sun Yat-Sen University, Kaohsiung, Taiwan, China
The shapes of a growing or decaying bubble entrapped by a solidification front in the liquid are predicted in this work. The formation of bubbles is resulted from supersaturation of a dissolved gas in the liquid ahead of the solidification front. Pore formation and its shape in solid are one of the most serious issues affecting properties, microstructure, and stresses in materials. In this study, aside from an extension of previous work, the bubble and pore shapes entrapped in solid are further predicted by utilizing perturbation solutions of Young-Laplace equation governing the microbubble shape in the literature. Given dimensionless Bond number, Henry’s constant, mass transfer coefficient and initial solute content, the growth and entrapment of a microbubble in solid during freezing thus can be predicted.
Summary: The shapes of a bubble trapped in solid after nucleation on a solidification front in liquid containing a dissolved gas are analytically predicted. Utilizing perturbation solutions of Young-Laplace equation governing the microbubble shape in literature, the growth, collapse, departure and entrapment of bubble or pore shape in solid can be predicted.
