An indirect boundary-element method for slow viscous flow in a bounded region containing air bubbles

This paper presents a novel formulation of the completed indirect boundary-element method to study the shrinkage of air bubbles on a slow viscous flow in a bounded region subject to surface tension. The formulation has application to viscous sintering, a process for manufacturing high-quality glass...

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Bibliographic Details
Published inJournal of engineering mathematics Vol. 37; no. 4; pp. 305 - 326
Main Authors Primo, A.R.M., Wrobel, L.C., Power, H.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer 01.05.2000
Subjects
Computational methods in fluid dynamics
Cross-disciplinary physics: materials science; rheology
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar flows
Low-reynolds-number (creeping) flows
Materials science
Materials synthesis; materials processing
Physics
Powder processing: powder metallurgy, compaction, sintering, mechanical alloying, and granulation
Bubbles
Sintering
Digital simulation
Surface tension
Slow flow
Liquid phase sintering
Viscous fluids
Boundary element method
Stokes flow
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Summary:This paper presents a novel formulation of the completed indirect boundary-element method to study the shrinkage of air bubbles on a slow viscous flow in a bounded region subject to surface tension. The formulation has application to viscous sintering, a process for manufacturing high-quality glass by means of sol-gel processing. The theoretical background is explained in detail, including mathematical proofs of existence and uniqueness of solutions. Numerical results are included and compared to analytical and previous numerical solutions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-0833
1573-2703
DOI:10.1023/A:1004631329906