This study shows that there exist a pair of universal and unique phase diagrams to describe general development of the pore shape in solid, resulting from a bubble captured by a solidification front. Like thermodynamics, phase diagrams have advantages to generally identify the states and design processes of a system. Pore formation and its shape in solids influence not only microstructure of materials but also contemporary issues of biology, engineering, foods, geophysics, and climate change, etc. In this study, a pair of phase diagrams is thus found to be under dimensionless coordinate systems of dimensionless apex radius, contact angle, and base radius of the bubble cap, as well as solidification rate, contact angle, and growth rate of base radius. The computed results of the development of the pore shape agree with experimental data. The pore shape in solid thus can be optimistically predicted and controlled by choosing a desired path on phase diagrams.
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Existence of Universal Phase Diagrams for Describing General Pore Shape Resulting From an Entrapped Bubble During Solidification
P. S. Wei,
P. S. Wei
Professor and Fellow
Department of Mechanical and
Electro-Mechanical Engineering,
National Sun Yat-Sen University,
Kaohsiung 80424, Taiwan
e-mail: pswei@mail.nsysu.edu.tw
Department of Mechanical and
Electro-Mechanical Engineering,
National Sun Yat-Sen University,
Kaohsiung 80424, Taiwan
e-mail: pswei@mail.nsysu.edu.tw
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C. C. Chang
C. C. Chang
Department of Mechanical and
Electro-Mechanical Engineering,
National Sun Yat-Sen University,
Kaohsiung 80424, Taiwan
e-mail: apea321@yahoo.com.tw
Electro-Mechanical Engineering,
National Sun Yat-Sen University,
Kaohsiung 80424, Taiwan
e-mail: apea321@yahoo.com.tw
Search for other works by this author on:
P. S. Wei
Professor and Fellow
Department of Mechanical and
Electro-Mechanical Engineering,
National Sun Yat-Sen University,
Kaohsiung 80424, Taiwan
e-mail: pswei@mail.nsysu.edu.tw
Department of Mechanical and
Electro-Mechanical Engineering,
National Sun Yat-Sen University,
Kaohsiung 80424, Taiwan
e-mail: pswei@mail.nsysu.edu.tw
C. C. Chang
Department of Mechanical and
Electro-Mechanical Engineering,
National Sun Yat-Sen University,
Kaohsiung 80424, Taiwan
e-mail: apea321@yahoo.com.tw
Electro-Mechanical Engineering,
National Sun Yat-Sen University,
Kaohsiung 80424, Taiwan
e-mail: apea321@yahoo.com.tw
1Corrsponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received March 29, 2016; final manuscript received April 18, 2016; published online June 7, 2016. Editor: Portonovo S. Ayyaswamy.
J. Heat Transfer. Oct 2016, 138(10): 104503 (6 pages)
Published Online: June 7, 2016
Article history
Received:
March 29, 2016
Revised:
April 18, 2016
Citation
Wei, P. S., and Chang, C. C. (June 7, 2016). "Existence of Universal Phase Diagrams for Describing General Pore Shape Resulting From an Entrapped Bubble During Solidification." ASME. J. Heat Transfer. October 2016; 138(10): 104503. https://doi.org/10.1115/1.4033499
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