Comprehensive approach for constructing liquid-liquid flow patterns map and convergence to gas-liquid systems

Neima Brauner*, David Moalem Maron

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


The construction of general two-fluid flow pattern map is presented. The departure from a steady stratified configuration to other bounding flow patterns is analyzed by exploring the stability and well-posedness of the governing equations. In view of the relationships between stability and well-posedness it is shown that the condition for ill-posedness is sufficient to indicate instability while the condition of well-posedness is necessary but insufficient to ensure stability. Of particular interest to flow pattern transition is the stability and well-posedness map (SWP), which defines the boundaries of stability and well-posedness of the long waves modes as a function of operational conditions. It is shown that the integrated frame of stability and well-posedness considerations comprehensively predict the complete stratified/nonstratified transitional boundary in a unified model for horizontal, inclined, various tube sizes, liquid-liquid and gas liquid flows. The transitional boundaries between the other flow patterns encountered in liquid-liquid systems are obtained based on mechanistic models.

Original languageEnglish
Title of host publicationAIChE Symposium Series
PublisherPubl by AIChE
Number of pages10
ISBN (Print)0816905487
StatePublished - 1991
Event27th National Heat Transfer Conference - Minneapolis, MN, USA
Duration: 28 Jul 199131 Jul 1991

Publication series

NameAIChE Symposium Series
ISSN (Print)0065-8812


Conference27th National Heat Transfer Conference
CityMinneapolis, MN, USA


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