Bubble dynamics: Long-time behavior and interaction in viscous liquids

A mathematical two‐phase model is used to numerically investigate physical and rheological effects on small, individual bubbles in high‐viscosity liquids under pressure impact. It is found out that bubbles remain stable over time at high viscosity and surface tension. The steady case is considered a...

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Bibliographic Details
Published inProceedings in applied mathematics and mechanics Vol. 14; no. 1; pp. 861 - 862
Main Authors Wolf, Alexandre, Masood, Rao M. A., Delgado, Antonio, Rauh, Cornelia
Format Journal Article
LanguageEnglish
Published Berlin WILEY-VCH Verlag 01.12.2014
WILEY‐VCH Verlag
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Summary:A mathematical two‐phase model is used to numerically investigate physical and rheological effects on small, individual bubbles in high‐viscosity liquids under pressure impact. It is found out that bubbles remain stable over time at high viscosity and surface tension. The steady case is considered and connected to the stability behavior of the bubble. An upper bound for the bubble radius is derived and the new equilibrium state of the bubble can be predicted by means of stability theorems of differential equations. Finally, the interaction of a limited number of well separated bubbles in an Hele‐Shaw flow is mathematically analyzed to visualize and physically interpret their trajectories. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Bibliography:ark:/67375/WNG-35K7KC7S-X
ArticleID:PAMM201410411
istex:57C32F9790D503880F43DBB5CC5570020FD87853
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.201410411