Chaotic Advections for Stokes Flows in Circular Cavity

Steady Stokes flows in a circular cavity is analytically solved by using Green's function. The familiar phenomenon of Lagrangian chaos for Stokes flows in a long, circular cylinder filled with a viscous fluid subject to various boundary conditions is studied numerically. To achieve chaotic mixi...

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Bibliographic Details
Published inJournal of engineering mechanics Vol. 123; no. 8; pp. 774 - 782
Main Authors Hwu, Tzong-Yih, Young, Der-Liang, Chen, Yih-Yuh
Format Journal Article
LanguageEnglish
Published Reston, VA American Society of Civil Engineers 01.08.1997
Subjects
Chaos
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar flows
Laminar flows in cavities
Low-reynolds-number (creeping) flows
Physics
TECHNICAL PAPERS
Streamlines
Laminar flow
Mixtures
Creeping flow
Periodic oscillation
Boundary conditions
Numerical simulation
Cavity flow
Chaotic systems
Stokes flow
Moving wall
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Summary:Steady Stokes flows in a circular cavity is analytically solved by using Green's function. The familiar phenomenon of Lagrangian chaos for Stokes flows in a long, circular cylinder filled with a viscous fluid subject to various boundary conditions is studied numerically. To achieve chaotic mixing for the fluid particles, two mobile outer walls in close contact with a fixed inner wall that have two corresponding openings are made to (independently) oscillate periodically in time. The expansion rate for a thin fluid filament is also determined when the oscillatory modulation is turned on. Our study shows that counterrotating boundaries have a greater tendency to create mixing than corotating ones.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)0733-9399(1997)123:8(774)