| Abstrakt: |
The growth and shape of a bubble with a deformed cap, generated at an advancing solidification front and trapped as a pore in solid, are analytically predicted. The motivation of this study comes from a previous work, which found that an accurate prediction of the cap shape is critical to determine the shape of the pore in solid. Since the dimensionless parameter β (≡We/Fr) is usually less than unity, deformation of the cap, affected by mass, momentum, energy and species transport and physico-chemical equilibrium, can be self-consistently and analytically obtained. The predicted shapes of the pore agree with experimental observations and measurements. The result can be readily simplified to the previous simple model needing a specified cap angle. The corrugated wall is attributed to not only oscillation of the solidification front, but also deformation of the cap shape. The effects of the Bond number and the dimensionless parameters governing Henry’s constant, the solute gas concentration, surrounding pressure, and solidification rate on the shape of the pore are also presented. [ABSTRACT FROM AUTHOR] |
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