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A Model to Predict Pore Shape in Solid During Solidification

[+] Author Affiliations
S. Y. Hsiao, P. S. Wei

National Sun Yat-Sen University, Kaohsiung, Taiwan

Paper No. IMECE2009-10344, pp. 1-4; 4 pages
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 5: Electronics and Photonics
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4378-9 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME


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.

Copyright © 2009 by ASME



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