0
Technical Brief

Existence of Universal Phase Diagrams for Describing General Pore Shape Resulting From an Entrapped Bubble During Solidification

[+] Author and Article Information
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

C. C. Chang

Department of Mechanical and
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 138(10), 104503 (Jun 07, 2016) (6 pages) Paper No: HT-16-1161; doi: 10.1115/1.4033499 History: Received March 29, 2016; Revised April 18, 2016

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Sketch of physical model and coordinate system

Grahic Jump Location
Fig. 2

Comparison between the predicted and measured (a) solidification front location, (b) pore radius, and (c) contact angle as functions of time

Grahic Jump Location
Fig. 3

Different pathlines with dimensionless solidification rate ds/dt = 1 on dimensionless universal phase diagrams under coordinate systems of (a) R−θB−rB and (b) ds/dt−θB−drB/dt

Grahic Jump Location
Fig. 4

The corresponding pore shapes predicted in solid with dimensionless solidification rate ds/dt = 1, and ratios between variations of apex radius and solidification front location of (a)dR/ds = 1, (b) dR/ds = 0.001, (c) dR/ds = 3 cos(3s) + 100/(1 + 100 s)

Grahic Jump Location
Fig. 5

Different pathlines with dimensionless solidification rate ds/dt = 10cos(t) on dimensionless universal phase diagrams under coordinate systems of (a) R−θB−rB and (b) ds/dt−θB−drB/dt

Grahic Jump Location
Fig. 6

The corresponding pore shape predicted in solid with dimensionless solidification rate ds/dt = 10cos(t), and ratio between variations of apex radius and solidification front location dR/ds = 1

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In