Experimental and computational studies of chaotic stirring in complex 3D flows

Fotis Sotiropoulos, Tahirih C. Lackey, S. Casey Jones

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Recent progress in experimental and computational studies of complex chaotically advected 3D flows is reviewed for the confined swirling flow in a cylindrical container with a rotating bottom and the open flow in a helical static mixer. The concept of Lagrangian averaging along particle paths, whose theoretical foundation stems from ergodic theory, is proposed as a powerful tool for constructing Poincaré maps in numerical studies of confined flows. The same concept has also been employed to develop the first non-intrusive experimental technique for constructing Poincaré maps in complex 3D flows. The potential of these ergodic concepts is demonstrated in computational and experimental studies for the confined swirling flow. Numerical computations for the helical mixer flow show that increasing the Reynolds number from Re=100 to 500 leads to the appearance of unmixed islands in the flow. The mechanism that leads to the formation of such islands is shown to be linked to the growth of coherent helical vortices in the flow.

Original languageEnglish (US)
Title of host publicationforums
EditorsU.S. Rohatgi, D. Mewes, J. Betaille, I. Rhodes
Pages1493-1500
Number of pages8
Volume257
Edition1 B
DOIs
StatePublished - Dec 11 2002
EventProceedings of the 2002 ASME Joint U.S.-European Fluids Engineering Conference - Montreal, Que., United States
Duration: Jul 14 2002Jul 18 2002

Other

OtherProceedings of the 2002 ASME Joint U.S.-European Fluids Engineering Conference
CountryUnited States
CityMontreal, Que.
Period7/14/027/18/02

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