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International Journal of Fluid Mechanics Research

ISSN for PRINT: 1064-2277

Institutional price:	$1811.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2004, Volume31

104 pages

DOI: 10.1615/InterJFluidMechRes.v31.i4

Issue price - $270.00

Chaotic Advection by Two-Dimensional Stokes Flow in a Semicircle

T. A. Dunaeva
Kyiv National Technical University "KPI", Kyiv, Ukraine

A. A. Gourjii
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

V. V. Meleshko
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

A two-dimensional Stokes flow due to a periodic motion of a circular and rectilinear boundary in a semicircle is considered. An exact analytical solution for a description of a velocity field is given. Peculiarities of the velocity field and their influence on the motion of a surrounding passive fluid in the semicircle are also studied. Poincare section, trajectories of motion of passive fluid particles, the largest Lyapunov exponent are calculated and analyzed for various regimes and values of boundary velocities, that allow determining the zones of both intensive (chaotic) and weak (regular) mixing of the above regions of fluid flow in the semicircle.