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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 3, Pages 305–312
DOI: https://doi.org/10.1070/RD2003v008n03ABEH000246 (Mi rcd784) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Chaotic advection in Stokes flow in semicircle

V. V. Meleshkoa, T. A. Dunaevab

a Kiev National Taras Shevchenko University, 01033 Kiev, Ukraine
b Kiev National Technical University ''KPI'', 01057 Kiev, Ukraine
Citations (1)
DOI: https://doi.org/10.1070/RD2003v008n03ABEH000246
Abstract: The two-dimensional Stokes flows due to a periodic motion of a circular and rectilinear boundary in a semicircle is considered. An exact analytical of the velocity field is given. The peculiarities of the velocity field and their influence on the motion of dye fluids in these domains are studied. Poincaré sections and trajectories of motion of passive fluid particles are calculated and analyzed for various regimes and values of the boundary velocities. The analysis of Poincaré sections reveals both zones of intensive (chaotic) and weak (regular) mixing of marked passive regions of fluid flow in the semicircle.
Received: 15.10.2002
Bibliographic databases:
Document Type: Article
MSC: 37J60
Language: English
Citation: V. V. Meleshko, T. A. Dunaeva, “Chaotic advection in Stokes flow in semicircle”, Regul. Chaotic Dyn., 8:3 (2003), 305–312
Citation in format AMSBIB
\Bibitem{MelDun03}
\by V. V. Meleshko, T. A. Dunaeva
\paper Chaotic advection in Stokes flow in semicircle
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 3
\pages 305--312
\mathnet{http://mi.mathnet.ru/rcd784}
\crossref{https://doi.org/10.1070/RD2003v008n03ABEH000246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2020846}
\zmath{https://zbmath.org/?q=an:1049.37525}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8..305M}
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    • This publication is cited in the following 1 articles:
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